1MS.3 MATEMÀTICA FINANCERA/1MS.3.3 EquivalènciaTaxes d'interès 1MS.3.3.65Q TAE→Nominal Calcula les taxes nominals que corresponen a:

a) una TAE de #j_1 % i un període de conversió mensual
b) una TAE de #j_2 %i un període de conversió quadrimestral
c) una TAE de #j_3 % i un període de conversió trimestral

Resposta: tant per cent arrodonit als centèsims sense el símbol %

]]> 1.0000000 1.0000000 0 0 a) =#i_1b) =#i_2c) =#i_3]]> <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>i_1</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>01</mn><mo>*</mo><mi>aleatori</mi><mo>(</mo><mn>250</mn><mo>,</mo><mn>490</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i_2</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>01</mn><mo>*</mo><mi>aleatori</mi><mo>(</mo><mn>250</mn><mo>,</mo><mn>490</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i_3</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>01</mn><mo>*</mo><mi>aleatori</mi><mo>(</mo><mn>250</mn><mo>,</mo><mn>490</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t_1</mi><mo>=</mo><mfenced><mfrac><mi>i_1</mi><mn>100</mn></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t_2</mi><mo>=</mo><mfenced><mfrac><mi>i_2</mi><mn>100</mn></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t_3</mi><mo>=</mo><mfenced><mfrac><mi>i_3</mi><mn>100</mn></mfrac></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r_1</mi><mo>=</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mfrac><mi>t_1</mi><mn>12</mn></mfrac></mrow></mfenced><mn>12</mn></msup><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r_2</mi><mo>=</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mfrac><mi>t_2</mi><mn>3</mn></mfrac></mrow></mfenced><mn>3</mn></msup><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r_3</mi><mo>=</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mfrac><mi>t_3</mi><mn>4</mn></mfrac></mrow></mfenced><mn>4</mn></msup><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>j_1</mi><mo>=</mo><mfrac><mrow><mi>arrodoneix</mi><mfenced><mrow><mn>10000</mn><mo>*</mo><mi>r_1</mi></mrow></mfenced></mrow><mn>100</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>j_2</mi><mo>=</mo><mfrac><mrow><mi>arrodoneix</mi><mfenced><mrow><mn>10000</mn><mo>*</mo><mi>r_2</mi></mrow></mfenced></mrow><mn>100</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>j_3</mi><mo>=</mo><mfrac><mrow><mi>arrodoneix</mi><mfenced><mrow><mn>10000</mn><mo>*</mo><mi>r_3</mi></mrow></mfenced></mrow><mn>100</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mo> </mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">i</mi><mi>_</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mo> </mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">i</mi><mi>_</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mo> </mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">i</mi><mi>_</mi><mn>3</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Aïlla i en la fórmula de la TAE

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