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)