Matemàtiques comercials/anualitats de capitalització 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.

]]> 1.0000000 1.0000000 0 0 #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>&quot;</mo><mi>mensualment</mi><mo>&quot;</mo><mo>,</mo><mo> </mo><mo>&quot;</mo><mi>bimensualment</mi><mo>&quot;</mo><mo>,</mo><mo>&quot;</mo><mo> </mo><mi>trimestralment</mi><mo>&quot;</mo><mo>,</mo><mo> </mo><mo>&quot;</mo><mi>quatrimestralment</mi><mo>&quot;</mo><mo>,</mo><mo>&quot;</mo><mi>semestralment</mi><mo>&quot;</mo><mo>,</mo><mo>&quot;</mo><mi>anualment</mi><mo>&quot;</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>