Matemàtiques comercialsTAEQuina Taxa Anual Equivalent correspon a una operació amb un interès de #redit % cada #mesos mesos?]]>1.00000001.000000000#tae]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>6</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tae</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mo>(</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn><msup><mo>)</mo><mi>cicle</mi></msup><mo>-</mo><mn>1</mn><mo>)</mo><mo>*</mo><mn>10000</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>t</mi><mi>a</mi><mi mathvariant="normal">e</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> TAEQuina Taxa Anual Equivalent correspon a una operació amb un interès de #redit % cada #mesos mesos?]]>1.00000001.000000000#tae]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>6</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tae</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mo>(</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn><msup><mo>)</mo><mi>cicle</mi></msup><mo>-</mo><mn>1</mn><mo>)</mo><mo>*</mo><mn>10000</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>t</mi><mi>a</mi><mi mathvariant="normal">e</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> TAEQuina Taxa Anual Equivalent correspon a una operació amb un interès de #redit % cada #mesos mesos?]]>1.00000001.000000000#tae]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>6</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tae</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mo>(</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn><msup><mo>)</mo><mi>cicle</mi></msup><mo>-</mo><mn>1</mn><mo>)</mo><mo>*</mo><mn>10000</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>t</mi><mi>a</mi><mi mathvariant="normal">e</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> TAE.En el contracte de la targeta de crèdit de Juan posa que per ajornament dels pagaments li cobraran un #redit % cada #mesos mesos. Determina la Taxa Anual Equivalent.]]>1.00000001.000000000#tae]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>6</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tae</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mo>(</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn><msup><mo>)</mo><mi>cicle</mi></msup><mo>-</mo><mn>1</mn><mo>)</mo><mo>*</mo><mn>10000</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>t</mi><mi>a</mi><mi mathvariant="normal">e</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> TAE..Una entitat bancària ofereix un dipòsit a termini fix, per un any al #redit % anual a favor del client, liquidables i abonables cada #mesos mesos en un altre compte associat del mateix client. Calcula la TAE d'aquest tipus de dipòsit.]]>1.00000001.000000000#tae]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>6</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tae</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mo>(</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn><msup><mo>)</mo><mi>cicle</mi></msup><mo>-</mo><mn>1</mn><mo>)</mo><mo>*</mo><mn>10000</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>t</mi><mi>a</mi><mi mathvariant="normal">e</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> Matemàtiques comercials/anualitats d'amortitzacióCapital inicialHem demanat un préstec a pagar en #temps anys a un interès #pagaments de #redit % i cada pagament és de #mensualitat €. Quants diners hem demanat? ]]>1.00000001.000000000#ci]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ci</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>50</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensual</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensual</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestral</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestral</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestral</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anual</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit2</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>ci</mi><mo>*</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo></mrow></msup><mo>*</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>mensualitat</mi><mo>/</mo><mo>(</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo></mrow></msup><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>mensualitat</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>c</mi><mi mathvariant="normal">i</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Capital inicial.L'Adrià ha anat al banc i ha demant un préstec a pagar #pagaments durant #temps anys a un interès de #redit % i cada pagament és de #mensualitat €. Quants diners ha demanat? ]]>1.00000001.000000000#ci]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ci</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>50</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensual</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensual</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestral</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestral</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestral</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anual</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit2</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>ci</mi><mo>*</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo></mrow></msup><mo>*</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>mensualitat</mi><mo>/</mo><mo>(</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo></mrow></msup><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>mensualitat</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>c</mi><mi mathvariant="normal">i</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Capital inicial.L'Òscar està pagant #mensualitat € #pagaments per amortitzar un crèdit que el banc li va concedir. Les condicions eren que havia de tornar els diners en #temps anys i que li aplicaven un #redit % d'interès. Quants diners va demanar?]]>1.00000001.000000000#ci]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ci</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>rr</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mo>(</mo><mn>3</mn><mo>*</mo><mi>rr</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit2</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>ci</mi><mo>*</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo></mrow></msup><mo>*</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>mensualitat</mi><mo>/</mo><mo>(</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo></mrow></msup><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>mensualitat</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>c</mi><mi mathvariant="normal">i</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> Capital inicial.Determina el deute d'en Joel, que està pagant #mensualitat € #pagaments durant #temps anys si saps que és una hipoteca amb un tipus del #redit %?]]>1.00000001.000000000#ci]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ci</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>50</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>rr</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensual</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensual</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestral</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestral</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestral</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anual</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mo>(</mo><mn>5</mn><mo>*</mo><mi>rr</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit2</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>ci</mi><mo>*</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo></mrow></msup><mo>*</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>mensualitat</mi><mo>/</mo><mo>(</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo></mrow></msup><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>mensualitat</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>c</mi><mi mathvariant="normal">i</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> MensualitatHem demanat un préstec de #ci € a pagar #pagamentsen #temps anys al #redit %. Quant haurem de pagar cada termini? ]]>1.00000001.000000000#mensualitat]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ci</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>rr</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mo>(</mo><mn>3</mn><mo>*</mo><mi>rr</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit2</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>ci</mi><mo>*</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo></mrow></msup><mo>*</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>mensualitat</mi><mo>/</mo><mo>(</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo></mrow></msup><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>mensualitat</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>m</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>s</mi><mi>u</mi><mi>a</mi><mi>l</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>t</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Mensualitat.La Tània demana un préstec de #ci € a pagar en #temps anys a un interès de #redit % i haurà de pagar #pagaments . Quant haurà de pagar cada termini? ]]>1.00000001.000000000#mensualitat]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ci</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>rr</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mo>(</mo><mn>3</mn><mo>*</mo><mi>rr</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit2</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>ci</mi><mo>*</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo></mrow></msup><mo>*</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>mensualitat</mi><mo>/</mo><mo>(</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo></mrow></msup><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>mensualitat</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>m</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>s</mi><mi>u</mi><mi>a</mi><mi>l</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>t</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> Mensualitat.L'Albert vol comprar-se un pis i demana una hipoteca de #ci a pagar #pagaments durant #temps anys a un interès de #redit %. Quant haurà de pagar cada termini? ]]>1.00000001.000000000#mensualitat]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ci</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>50</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>rr</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mo>(</mo><mn>2</mn><mo>*</mo><mi>rr</mi><mo>)</mo><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit2</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>ci</mi><mo>*</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo></mrow></msup><mo>*</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>mensualitat</mi><mo>/</mo><mo>(</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo></mrow></msup><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>mensualitat</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>m</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>s</mi><mi>u</mi><mi>a</mi><mi>l</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>t</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Mensualitat.La Camil·la es vol comprar un cotxe pel qual li demanen #ci €. El vol pagar en #temps anys i el banc li ofereix un préstec al #redit % si el paga #pagaments . Quant haurà de pagar cada termini? ]]>1.00000001.000000000#mensualitat]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ci</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>10</mn><mo>.</mo><mo>.</mo><mn>50</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>rr</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mo>(</mo><mn>2</mn><mo>*</mo><mi>rr</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit2</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>ci</mi><mo>*</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo></mrow></msup><mo>*</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>mensualitat</mi><mo>/</mo><mo>(</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo></mrow></msup><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>mensualitat</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>m</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>s</mi><mi>u</mi><mi>a</mi><mi>l</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>t</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> Temps.Calcula el temps necessari per amortitzar un deute de #ci €, a un interès del #redit % anual pagant #pagaments una quota de #mensualitat.]]>1.00000001.000000000#temps]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ci</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit2</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>ci</mi><mo>*</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo></mrow></msup><mo>*</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>mensualitat</mi><mo>/</mo><mo>(</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo></mrow></msup><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>mensualitat</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>t</mi><mi mathvariant="normal">e</mi><mi>m</mi><mi>p</mi><mi>s</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> Matemàtiques comercials/anualitats de capitalitzacióCapital final ACCreiem que podem estalviar #pagaments #mensualitat €. Quin capital haurem estalviat, si ho anem ingressant al banc durant #temps anys amb un interès del #redit % ?]]>1.00000001.000000000#capital]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capital</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>10</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit2</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>capital</mi><mo>*</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>mensualitat</mi><mo>/</mo><mo>(</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></msup><mo>-</mo><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>mensualitat</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>c</mi><mi>a</mi><mi>p</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> Capital final AC.En Pau vol conèixer quina quantitat rebrà d'aquí a #temps anys si #pagaments ingressa #mensualitat € al #redit % d'interès compost. Troba-la.]]>1.00000001.000000000#capital]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capital</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>10</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit2</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>capital</mi><mo>*</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>mensualitat</mi><mo>/</mo><mo>(</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></msup><mo>-</mo><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>mensualitat</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>c</mi><mi>a</mi><mi>p</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Capital final AC.L'Ulisses decideix obrir un pla de jubilació per d'aquí a #temps anys. Un banc li ofereix #redit % anual amb ingressos de #mensualitat € #pagas . Quin capital haurà obtingut al final dels #temps anys?]]>1.00000001.000000000#capital]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capital</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>10</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>rr</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagas</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mo>(</mo><mn>2</mn><mo>*</mo><mi>rr</mi><mo>)</mo><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit2</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>capital</mi><mo>*</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>mensualitat</mi><mo>/</mo><mo>(</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></msup><mo>-</mo><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>mensualitat</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>c</mi><mi>a</mi><mi>p</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> Capital final AC.Una família ha obert un compte al que ingressa #pagaments #mensualitat €. El banc els hi dóna una taxa d’interès del #redit %. Calcula la quantitat que tindrà acumulada després de #temps anys.]]>1.00000001.000000000#capital]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capital</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>10</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit2</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>capital</mi><mo>*</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>mensualitat</mi><mo>/</mo><mo>(</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></msup><mo>-</mo><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>mensualitat</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>c</mi><mi>a</mi><mi>p</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> mensualitat ACPer tal d'aconseguir un capital de #capital €, el banc ens proposa que ingressem una quantitat fixa #pagaments durant #temps anys amb un interès de #redit % . Quina quantitat de diners haurem d'ingressar #pagaments ? ]]>1.00000001.000000000#mensualitat]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capital</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit2</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>capital</mi><mo>*</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>mensualitat</mi><mo>/</mo><mo>(</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></msup><mo>-</mo><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>mensualitat</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>m</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>s</mi><mi>u</mi><mi>a</mi><mi>l</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>t</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> mensualitat AC.Els pares de la Verònica han obert un pla d'estalvis per la seva filla. Volen assegurar-se que d'aquí a #temps anys la seva filla disposi d'un capital de #capital €. L'entitat els assegura un #redit % dínterès compost anual amb ingressos #pagaments . Quina quantitat han d'ingressar al començament de cada termini?]]>1.00000001.000000000#mensualitat]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capital</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>50</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>rr</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensuals</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensuals</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestrals</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestrals</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestrals</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anuals</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mo>(</mo><mi>rr</mi><mo>)</mo><mo>.</mo><mo>.</mo><mo>(</mo><mn>5</mn><mo>*</mo><mi>rr</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit2</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>capital</mi><mo>*</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>mensualitat</mi><mo>/</mo><mo>(</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></msup><mo>-</mo><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>mensualitat</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>m</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>s</mi><mi>u</mi><mi>a</mi><mi>l</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>t</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> mensualitat AC.Quina quantitat ha de pagar la Glòria #pagaments per aconseguir un capital de #capital € en #temps anys si l'interès és de #redit %?]]>1.00000001.000000000#mensualitat]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capital</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>5</mn><mo>.</mo><mo>.</mo><mn>10</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>rr</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mo>(</mo><mn>2</mn><mo>*</mo><mi>rr</mi><mo>)</mo><mo>.</mo><mo>.</mo><mo>(</mo><mn>4</mn><mo>*</mo><mi>rr</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit2</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>capital</mi><mo>*</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>mensualitat</mi><mo>/</mo><mo>(</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></msup><mo>-</mo><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>mensualitat</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>nota</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>:</mo><mo>=</mo><mo>(</mo><mfenced close="|" open="|"><mrow><mi>x</mi><mo>-</mo><mi>mensualitat</mi></mrow></mfenced><mo><</mo><mn>0</mn><mo>.</mo><mn>01</mn><mo>)</mo><mo>?</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>m</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>s</mi><mi>u</mi><mi>a</mi><mi>l</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>t</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> mensualitat AC.Un banc li ha ofert a la Nina un pla de jubilació amb un rèdit del #redit % fixe al llarg de tota la vida del pla. La Nina està interessada en obtenir un capital final de #capital € d'aquí a #temps anys que és el temps en el que pensa jubilar-se. Quina quantitat haurà de pagar #pagaments per aconseguir-lo?]]>1.00000001.000000000#mensualitat]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>4</mn><mo>.</mo><mo>.</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capital</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>10</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>rr</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mo>(</mo><mn>2</mn><mo>*</mo><mi>rr</mi><mo>)</mo><mo>.</mo><mo>.</mo><mo>(</mo><mn>4</mn><mo>*</mo><mi>rr</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit2</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>capital</mi><mo>*</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>mensualitat</mi><mo>/</mo><mo>(</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></msup><mo>-</mo><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>mensualitat</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>m</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>s</mi><mi>u</mi><mi>a</mi><mi>l</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>t</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Temps AC.Calcula el temps necessari perquè ingressant #mensualitat € #pagaments a un interès del #redit % obtinguem #capital €.]]>1.00000001.000000000#temps]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capital</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit2</mi><mo>=</mo><mi>arrodonir</mi><mo>(</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>capital</mi><mo>*</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mi>mensualitat</mi><mo>/</mo><mo>(</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mrow><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></msup><mo>-</mo><mfenced><mrow><mn>1</mn><mo>+</mo><mi>redit2</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></mrow></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mensualitat</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>mensualitat</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>t</mi><mi mathvariant="normal">e</mi><mi>m</mi><mi>p</mi><mi>s</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Matemàtiques comercials/interès compostCapital FinalDipositem #capitalInicial € en un banc al #redit % d'interès compost anual. Digues quin serà el capital que obtindrem d'aquí a #temps anys amb interessos #pagaments ?]]>1.00000001.000000000#capitalFinal]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensuals</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensuals</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestrals</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestrals</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestrals</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anuals</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mo>(</mo><mfenced close="⌋" open="⌊"><mrow><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>^</mo><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>c</mi><mi>a</mi><mi>p</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>l</mi><mi>F</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi>a</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Capital Final.Un banc que opera per internet ofereix el compte verd a un #redit % anual d'interès que paga #pagaments. Si obro un d'aquests comptes amb #capitalInicial € i acumulo en aquest mateix compte els interessos que em paguen, quants diners tindré al cap de #temps anys?]]>1.00000001.000000000#capitalFinal]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>10</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>rr</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>^</mo><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>c</mi><mi>a</mi><mi>p</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>l</mi><mi>F</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi>a</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> Capital Final.Ingresso en un banc #capitalInicial € i es comprometen a pagar-me un #redit % anual abonant els interessos #pagaments . Quants diners tinc al cap de #temps anys?]]>1.00000001.000000000#capitalFinal]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mo>(</mo><mfenced close="⌋" open="⌊"><mrow><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>^</mo><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>c</mi><mi>a</mi><mi>p</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>l</mi><mi>F</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi>a</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> Capital InicialQuin capital inicial haurem de posar a #redit % d'interès compost a pagar #pagaments durant #temps anys, per aconseguir un capital final #capitalFinal € al final del període? ]]>1.00000001.000000000#capitalInicial]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>^</mo><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>c</mi><mi>a</mi><mi>p</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>l</mi><mi>I</mi><mi>n</mi><mi mathvariant="normal">i</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> Capital Inicial.La Carla ha tret tots els diners que tenia a un banc: #capitalFinal €. El banc li donava #redit % d'interès compost anual amb pagaments #pagaments . Quants diners havia ingressat #temps anys si va ser l'únic ingrés que va fer?]]>1.00000001.000000000#capitalInicial]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>10</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>rr</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensuals</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensuals</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestrals</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestrals</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestrals</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anuals</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>^</mo><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>c</mi><mi>a</mi><mi>p</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>l</mi><mi>I</mi><mi>n</mi><mi mathvariant="normal">i</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> Capital Inicial.El capital final d'una inversió és de #capitalFinal €. Quants diners vaig ingressar fa #temps anys al #redit % d'interès, pagant els interessos i acumulant-los al capital #pagaments?]]>1.00000001.000000000#capitalInicial]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>^</mo><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>c</mi><mi>a</mi><mi>p</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>l</mi><mi>I</mi><mi>n</mi><mi mathvariant="normal">i</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> RèditHem ingresat un capital inicial de #capitalInicial € i aconseguirem #capitalFinal € després de #temps anys si l'interès es paga #pagaments . A quin interès compost l'hem posat? ]]>1.00000001.000000000#redit]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>^</mo><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>r</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">d</mi><mi mathvariant="normal">i</mi><mi>t</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> Rèdit.Ara fa #temps anys els pares de la Jennifer li van posar #capitalInicial € en un compte. Avui Jennifer disposa al banc de #capitalFinal €. A quin rèdit anual li van posar si sabem que els pagaments d'interessos es feia #pagaments ?]]>1.00000001.000000000#redit]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>10</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>rr</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>^</mo><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>r</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">d</mi><mi mathvariant="normal">i</mi><mi>t</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Rèdit.A quin rèdit anual està sotmesa una operació bancària per la qual #capitalInicial € es van convertir, al cap de #temps anys, en #capitalFinal €, si els interessos s'acumulen #pagaments ?]]>1.00000001.000000000#redit]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>^</mo><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>r</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">d</mi><mi mathvariant="normal">i</mi><mi>t</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> TempsQuant anys haurem de posar un capital de #capitalInicial € a #redit % d'interès compost a pagar #pagaments , per aconseguir #capitalFinal € al final del període?]]>1.00000001.000000000#temps]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>^</mo><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>t</mi><mi mathvariant="normal">e</mi><mi>m</mi><mi>p</mi><mi>s</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> Temps.La Natàlia vol saber quants anys haurà d'esperar per aconseguir #capitalFinal € si posa un capital de #capitalInicial € a #redit % d'interès anual compost a pagar #pagaments ?]]>1.00000001.000000000#temps]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>10</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>rr</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensualment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensualment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestralment</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestralment</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anualment</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mo>(</mo><mn>3</mn><mo>*</mo><mi>rr</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>^</mo><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>t</mi><mi mathvariant="normal">e</mi><mi>m</mi><mi>p</mi><mi>s</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> Temps.Si #capitalInicial € s'han convertit, al #redit % d'interès compost anual amb pagaments #pagaments , en #capitalFinal €, durant quant de temps s'ha mantingut l'operació?]]>1.00000001.000000000#temps]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>12</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>periode</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>paraules</mi><mo>=</mo><mo>{</mo><mo>"</mo><mi>mensuals</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>bimensuals</mi><mo>"</mo><mo>,</mo><mo>"</mo><mo> </mo><mi>trimestrals</mi><mo>"</mo><mo>,</mo><mo> </mo><mo>"</mo><mi>quatrimestrals</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>semestrals</mi><mo>"</mo><mo>,</mo><mo>"</mo><mi>anuals</mi><mo>"</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pagaments</mi><mo>=</mo><mi>paraules</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cicle</mi><mo>=</mo><mn>12</mn><mo>/</mo><mi>mesos</mi><mo>.</mo><mi>periode</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>/</mo><mi>cicle</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>^</mo><mo>(</mo><mi>cicle</mi><mo>*</mo><mi>temps</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>t</mi><mi mathvariant="normal">e</mi><mi>m</mi><mi>p</mi><mi>s</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Matemàtiques comercials/interès simpleCapital FinalSi invertim un capital inicial de #capitalInicial € a #redit % d'interès anual simple durant #anys anys i #mesos mesos, quin capital obtindrem al final del període? ]]>1.00000001.000000000#capitalFinal]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>12</mn><mo>.</mo><mo>.</mo><mn>120</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anys</mi><mo>=</mo><mi>temps</mi><mo>/</mo><mo>/</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mi>temps</mi><mo>-</mo><mi>anys</mi><mo>*</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mo>(</mo><mfenced close="⌋" open="⌊"><mrow><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>*</mo><mi>temps</mi><mo>/</mo><mn>1200</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>interes</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalFinal</mi><mo>-</mo><mi>capitalInicial</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>c</mi><mi>a</mi><mi>p</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>l</mi><mi>F</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi>a</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Capital Final.Troba en quant es transforma un capital de #capitalInicial € al #redit % d'interès anual simple durant #anys anys i #mesos mesos?]]>1.00000001.000000000#capitalFinal]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>12</mn><mo>.</mo><mo>.</mo><mn>120</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anys</mi><mo>=</mo><mi>temps</mi><mo>/</mo><mo>/</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mi>temps</mi><mo>-</mo><mi>anys</mi><mo>*</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mo>(</mo><mfenced close="⌋" open="⌊"><mrow><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>*</mo><mi>temps</mi><mo>/</mo><mn>1200</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>interes</mi><mo>=</mo><mo>(</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalFinal</mi><mo>-</mo><mi>capitalInicial</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>nota</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>:</mo><mo>=</mo><mo>(</mo><mfenced close="|" open="|"><mrow><mi>x</mi><mo>-</mo><mi>capitalFinal</mi></mrow></mfenced><mo><</mo><mn>0</mn><mo>.</mo><mn>01</mn><mo>)</mo><mo>?</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>c</mi><mi>a</mi><mi>p</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>l</mi><mi>F</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi>a</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Capital Final.La Laia inverteix en Lletres del Tresor una quantitat de #capitalInicial €. Les Lletres produeixen cada any un #redit % d'interès que li ingressen en un compte al banc. Quants diners tindrà al cap de #anys anys i #mesos mesos?]]>1.00000001.000000000#capitalFinal]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>10</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>8</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>12</mn><mo>.</mo><mo>.</mo><mn>120</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anys</mi><mo>=</mo><mi>temps</mi><mo>/</mo><mo>/</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mi>temps</mi><mo>-</mo><mi>anys</mi><mo>*</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>*</mo><mi>temps</mi><mo>/</mo><mn>1200</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>)</mo></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>interes</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalFinal</mi><mo>-</mo><mi>capitalInicial</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>c</mi><mi>a</mi><mi>p</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>l</mi><mi>F</mi><mi mathvariant="normal">i</mi><mi>n</mi><mi>a</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Capital InicialPer una determinada quantitat de diners, invertida en un dipòsit financer a un interès simple del #redit % anual durant #anys anys, hem rebut uns interessos de #interes €. Quina quantitat inicial era?]]>1.00000001.000000000#capitalInicial]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>4</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>12</mn><mo>.</mo><mo>.</mo><mn>120</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anys</mi><mo>=</mo><mi>temps</mi><mo>/</mo><mo>/</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mi>temps</mi><mo>-</mo><mi>anys</mi><mo>*</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mo>(</mo><mfenced close="⌋" open="⌊"><mrow><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>*</mo><mi>temps</mi><mo>/</mo><mn>1200</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>interes</mi><mo>=</mo><mo>(</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalFinal</mi><mo>-</mo><mi>capitalInicial</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>c</mi><mi>a</mi><mi>p</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>l</mi><mi>I</mi><mi>n</mi><mi mathvariant="normal">i</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Capital InicialQuin capital haurem d'invertir al #redit % d'interès anual simple durant #anys anys i #mesos mesos, si volem aconseguir un capital de #capitalFinal al final del període? ]]>1.00000001.000000000#capitalInicial]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>4</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>12</mn><mo>.</mo><mo>.</mo><mn>120</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anys</mi><mo>=</mo><mi>temps</mi><mo>/</mo><mo>/</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mi>temps</mi><mo>-</mo><mi>anys</mi><mo>*</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mo>(</mo><mfenced close="⌋" open="⌊"><mrow><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>*</mo><mi>temps</mi><mo>/</mo><mn>1200</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>interes</mi><mo>=</mo><mo>(</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalFinal</mi><mo>-</mo><mi>capitalInicial</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>c</mi><mi>a</mi><mi>p</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>l</mi><mi>I</mi><mi>n</mi><mi mathvariant="normal">i</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Capital Inicial.Un capital col·locat al #redit % d'interès anual simple durant #anys anys i #mesos mesos, s'ha convertit en #capitalFinal €. A quant ascendia aquest capital?]]>1.00000001.000000000#capitalInicial]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>4</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>12</mn><mo>.</mo><mo>.</mo><mn>120</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anys</mi><mo>=</mo><mi>temps</mi><mo>/</mo><mo>/</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mi>temps</mi><mo>-</mo><mi>anys</mi><mo>*</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mo>(</mo><mfenced close="⌋" open="⌊"><mrow><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>*</mo><mi>temps</mi><mo>/</mo><mn>1200</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>interes</mi><mo>=</mo><mo>(</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalFinal</mi><mo>-</mo><mi>capitalInicial</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>c</mi><mi>a</mi><mi>p</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi>a</mi><mi>l</mi><mi>I</mi><mi>n</mi><mi mathvariant="normal">i</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> interèsSi invertim un capital inicial de #capitalInicial € a #redit % d'interès anual simple durant #anys anys i #mesos mesos, quins interessos obtindrem al final del període? ]]>1.00000001.000000000#interes]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>4</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>12</mn><mo>.</mo><mo>.</mo><mn>120</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anys</mi><mo>=</mo><mi>temps</mi><mo>/</mo><mo>/</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mi>temps</mi><mo>-</mo><mi>anys</mi><mo>*</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mo>(</mo><mfenced close="⌋" open="⌊"><mrow><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>*</mo><mi>temps</mi><mo>/</mo><mn>1200</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>interes</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalFinal</mi><mo>-</mo><mi>capitalInicial</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>s</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> interessos.Quants diners produeixen #capitalInicial € a #redit % d'interès anual simple durant #anys anys i #mesos mesos?]]>1.00000001.000000000#interes]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>4</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>12</mn><mo>.</mo><mo>.</mo><mn>120</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anys</mi><mo>=</mo><mi>temps</mi><mo>/</mo><mo>/</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mi>temps</mi><mo>-</mo><mi>anys</mi><mo>*</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mo>(</mo><mfenced close="⌋" open="⌊"><mrow><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>*</mo><mi>temps</mi><mo>/</mo><mn>1200</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>interes</mi><mo>=</mo><mo>(</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalFinal</mi><mo>-</mo><mi>capitalInicial</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>s</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> interessos.S'ingressen #capitalInicial € en un dipòsit financer que dóna un #redit % d'interès simple anual. Calcula els interessos que donarà en #anys anys i #mesos mesos.]]>1.00000001.000000000#interes]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>4</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>12</mn><mo>.</mo><mo>.</mo><mn>120</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anys</mi><mo>=</mo><mi>temps</mi><mo>/</mo><mo>/</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mi>temps</mi><mo>-</mo><mi>anys</mi><mo>*</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>*</mo><mi>temps</mi><mo>/</mo><mn>1200</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>interes</mi><mo>=</mo><mo>(</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalFinal</mi><mo>-</mo><mi>capitalInicial</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>s</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> RèditQuin interès ofereix un compte bancari en el qual, si hi inverteixes #capitalInicial € durant #anys anys i #mesos mesos, obtens uns interessos de #interes €?]]>1.00000001.000000000#redit]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>4</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>12</mn><mo>.</mo><mo>.</mo><mn>120</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anys</mi><mo>=</mo><mi>temps</mi><mo>/</mo><mo>/</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mi>temps</mi><mo>-</mo><mi>anys</mi><mo>*</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mo>(</mo><mfenced close="⌋" open="⌊"><mrow><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>*</mo><mi>temps</mi><mo>/</mo><mn>1200</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>interes</mi><mo>=</mo><mo>(</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalFinal</mi><mo>-</mo><mi>capitalInicial</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>r</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">d</mi><mi mathvariant="normal">i</mi><mi>t</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Rèdit.Calcula el tant per cent anual d'interès simple al que s'han de col·locar #capitalInicial € perquè en #anys anys i #mesos mesos es converteixin en #capitalFinal €.]]>1.00000001.000000000#redit]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>4</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>12</mn><mo>.</mo><mo>.</mo><mn>120</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anys</mi><mo>=</mo><mi>temps</mi><mo>/</mo><mo>/</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mi>temps</mi><mo>-</mo><mi>anys</mi><mo>*</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>*</mo><mi>temps</mi><mo>/</mo><mn>1200</mn><mo>.</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>interes</mi><mo>=</mo><mo>(</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalFinal</mi><mo>-</mo><mi>capitalInicial</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>r</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">d</mi><mi mathvariant="normal">i</mi><mi>t</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Rèdit.A quin rèdit anual es van invertir #capitalInicial € a interès simple si passats #anys anys i #mesos mesos han produït #interes €?]]>1.00000001.000000000#redit]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>4</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>12</mn><mo>.</mo><mo>.</mo><mn>120</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anys</mi><mo>=</mo><mi>temps</mi><mo>/</mo><mo>/</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mi>temps</mi><mo>-</mo><mi>anys</mi><mo>*</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>*</mo><mi>temps</mi><mo>/</mo><mn>1200</mn><mo>.</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>interes</mi><mo>=</mo><mo>(</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalFinal</mi><mo>-</mo><mi>capitalInicial</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>r</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">d</mi><mi mathvariant="normal">i</mi><mi>t</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> TempsSi invertim un capital inicial de #capitalInicial € a #redit % d'interès anual simple durant un cert temps, obtindrem uns interessos de #interes € al final del període. Quant de temps en anys i mesos ha estat invertit?
(Poseu els anys al primer quadre i els mesos al segon quadre)
]]>1.00000001.000000000anys=#anysmesos=#mesos]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>4</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>12</mn><mo>.</mo><mo>.</mo><mn>120</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anys</mi><mo>=</mo><mi>temps</mi><mo>/</mo><mo>/</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mi>residu</mi><mo>(</mo><mi>temps</mi><mo>,</mo><mn>12</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>*</mo><mi>temps</mi><mo>/</mo><mn>1200</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>)</mo></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>interes</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mo>(</mo><mi>capitalFinal</mi><mo>-</mo><mi>capitalInicial</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>nota</mi><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo><mo>:</mo><mo>=</mo></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">begin</csymbol><mtable><mtr><mtd><mi>locals</mi><mo> </mo><mi>T</mi></mtd></mtr><mtr><mtd><mi>T</mi><mo>=</mo><mi>vector</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>si</mi><mo> </mo><mi>x</mi><mo>==</mo><mi>anys</mi><mo> </mo><mi>aleshores</mi><mo> </mo><mn>1</mn><mo> </mo><mi>altrament</mi><mo> </mo><mn>0</mn><mo> </mo><mi>fi</mi></mtd></mtr><mtr><mtd><mi>si</mi><mo> </mo><mi>y</mi><mo>==</mo><mi>mesos</mi><mo> </mo><mi>aleshores</mi><mo> </mo><mn>1</mn><mo> </mo><mi>altrament</mi><mo> </mo><mn>0</mn><mo> </mo><mi>fi</mi></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>tornar</mi><mo> </mo><mi>T</mi><mo>.</mo><mn>1</mn><mo>*</mo><mi>T</mi><mo>.</mo><mn>2</mn></mtd></mtr></mtable></apply></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mi>n</mi><mi>y</mi><mi>s</mi><mo>=</mo><mo>#</mo><mi>a</mi><mi>n</mi><mi>y</mi><mi>s</mi><mspace linebreak="newline"/><mi>m</mi><mi mathvariant="normal">e</mi><mi>s</mi><mi>o</mi><mi>s</mi><mo>=</mo><mo>#</mo><mi>m</mi><mi mathvariant="normal">e</mi><mi>s</mi><mi>o</mi><mi>s</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_function"><param name="name">nota</param></assertion></assertions><options><option name="tolerance">10^(-12)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"><![CDATA[<session lang="ca" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></data><data name="inputCompound">true</data></localData></question> Temps.Quant de temps ha d'estar dipositat un capital de #capitalInicial € per convertir-se en #capitalFinal al #redit % d'interès simple anual?
(Poseu els anys al primer quadre i els mesos al segon quadre)
]]>1.00000001.000000000anys=#anysmesos=#mesos]]>
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalInicial</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>100</mn><mo>)</mo><mo>*</mo><mn>10</mn><mo>^</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>redit</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>4</mn><mo>.</mo><mo>.</mo><mn>40</mn><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>temps</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>12</mn><mo>.</mo><mo>.</mo><mn>120</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anys</mi><mo>=</mo><mi>temps</mi><mo>/</mo><mo>/</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mesos</mi><mo>=</mo><mi>residu</mi><mo>(</mo><mi>temps</mi><mo>,</mo><mn>12</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>capitalFinal</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mi>capitalInicial</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>+</mo><mi>redit</mi><mo>*</mo><mi>temps</mi><mo>/</mo><mn>1200</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>)</mo></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>interes</mi><mo>=</mo><mfenced close="⌋" open="⌊"><mrow><mo>(</mo><mo>(</mo><mi>capitalFinal</mi><mo>-</mo><mi>capitalInicial</mi><mo>)</mo><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>nota</mi><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo><mo>:</mo><mo>=</mo></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">begin</csymbol><mtable><mtr><mtd><mi>locals</mi><mo> </mo><mi>T</mi></mtd></mtr><mtr><mtd><mi>T</mi><mo>=</mo><mi>vector</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>si</mi><mo> </mo><mi>x</mi><mo>==</mo><mi>anys</mi><mo> </mo><mi>aleshores</mi><mo> </mo><mn>1</mn><mo> </mo><mi>altrament</mi><mo> </mo><mn>0</mn><mo> </mo><mi>fi</mi></mtd></mtr><mtr><mtd><mi>si</mi><mo> </mo><mi>y</mi><mo>==</mo><mi>mesos</mi><mo> </mo><mi>aleshores</mi><mo> </mo><mn>1</mn><mo> </mo><mi>altrament</mi><mo> </mo><mn>0</mn><mo> </mo><mi>fi</mi></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>tornar</mi><mo> </mo><mi>T</mi><mo>.</mo><mn>1</mn><mo>*</mo><mi>T</mi><mo>.</mo><mn>2</mn></mtd></mtr></mtable></apply></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mi>n</mi><mi>y</mi><mi>s</mi><mo>=</mo><mo>#</mo><mi>a</mi><mi>n</mi><mi>y</mi><mi>s</mi><mspace linebreak="newline"/><mi>m</mi><mi mathvariant="normal">e</mi><mi>s</mi><mi>o</mi><mi>s</mi><mo>=</mo><mo>#</mo><mi>m</mi><mi mathvariant="normal">e</mi><mi>s</mi><mi>o</mi><mi>s</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_function"><param name="name">nota</param></assertion></assertions><options><option name="tolerance">10^(-12)</option><option name="relative_tolerance">false</option><option name="precision">10</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"><![CDATA[<session lang="ca" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></data><data name="inputCompound">true</data></localData></question> Temps.La Gemma va conseguir que un banc li deixés #capitalInicial € amb la condició que tornaria en un sol termini tots els diners més el #redit % per cada any que trigués a tornar-los. Després d'un temps, ha pagat #capitalFinal € i ha cancel·lat el deute. Quants anys i mesos ha trigat a cancel·lar el deute?
(Poseu els anys al primer quadre i els mesos al segon quadre)