Matemáticas financieras
Anualidades de Amortización (Cuota 1)
¿Qué cuota anual deberá pagar una persona si quiere pagar una deuda de #d € en #t años a un interés anual de #r %?
]]>
1.0000000
0.3333333
0
0
Cuota=#c]]>
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Anualidades de Amortización (Cuota 2)
¿Qué cuota trimestral deberá pagar una persona si quiere pagar una deuda de #d € en #tt años a un interés anual de #r %?
]]>
1.0000000
0.3333333
0
0
Cuota=#c]]>
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Anualidades de Amortización (Deuda 1)
Para pagar una deuda, una empresa deberá pagar #c € al final de cada año durante #t años. Si se aplica un #r % de interés anual ¿Cuál es el valor de la deuda?]]>
1.0000000
0.3333333
0
0
Deuda=#d]]>
<question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mn>2</mn><mo>,</mo><mn>15</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1000</mn><mo>,</mo><mn>1500</mn><mo>,</mo><mn>2000</mn><mo>,</mo><mn>2500</mn><mo>,</mo><mn>3000</mn><mo>,</mo><mn>3500</mn><mo>,</mo><mn>4000</mn><mo>,</mo><mn>4500</mn><mo>,</mo><mn>5000</mn><mo>,</mo><mn>5500</mn><mo>,</mo><mn>6000</mn></mtd></mtr></mtable></mfenced></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>r</mi><mo>=</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>4</mn><mo>,</mo><mn>4</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>7</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>8</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dd</mi><mo>=</mo><mfrac><mrow><mi>c</mi><mo>*</mo><mo>(</mo><mo>(</mo><mn>1</mn><mo>+</mo><mfrac><mi>r</mi><mn>100</mn></mfrac><msup><mo>)</mo><mi>t</mi></msup><mo>-</mo><mn>1</mn><mo>)</mo></mrow><mrow><mfrac><mi>r</mi><mn>100</mn></mfrac><mo>*</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mfrac><mi>r</mi><mn>100</mn></mfrac></mrow></mfenced><mi>t</mi></msup></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>redondear</mi><mfenced><mi>dd</mi></mfenced></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"><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2000</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dd</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>2763092511350600000</mn><mn>205891132094649</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>13420</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mm</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mm</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi></math></output></command></group><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>D</mi><mi mathvariant="normal">e</mi><mi>u</mi><mi>d</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>d</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param><param name="decimalseparators">', �, ., \,</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Anualidades de Amortización (Deuda 2)
Para pagar una deuda, una persona deberá pagar #c € al final de cada trimestre durante #tt años. Si se aplica un #r % de interés anual ¿Cuál es el valor de la deuda?]]>
1.0000000
0.3333333
0
0
Deuda=#d]]>
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name="decimalseparators">', �, ., \,</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Anualidades de Amortización (Tiempo 1)
¿Durante cuánto tiempo se deberá pagar una cuota anual de #c € si se quiere quiere pagar una deuda de #d € a un interés de #r % anual?
]]>
1.0000000
0.3333333
0
0
Tiempo=#t]]>
<question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tt</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mn>2</mn><mo>,</mo><mn>15</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1000</mn><mo>,</mo><mn>1500</mn><mo>,</mo><mn>2000</mn><mo>,</mo><mn>2500</mn><mo>,</mo><mn>3000</mn><mo>,</mo><mn>3500</mn><mo>,</mo><mn>4000</mn><mo>,</mo><mn>4500</mn><mo>,</mo><mn>5000</mn><mo>,</mo><mn>5500</mn><mo>,</mo><mn>6000</mn></mtd></mtr></mtable></mfenced></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>r</mi><mo>=</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>4</mn><mo>,</mo><mn>4</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>7</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>8</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dd</mi><mo>=</mo><mfrac><mrow><mi>c</mi><mo>*</mo><mo>(</mo><mo>(</mo><mn>1</mn><mo>+</mo><mfrac><mi>r</mi><mn>100</mn></mfrac><msup><mo>)</mo><mi>tt</mi></msup><mo>-</mo><mn>1</mn><mo>)</mo></mrow><mrow><mfrac><mi>r</mi><mn>100</mn></mfrac><mo>*</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mfrac><mi>r</mi><mn>100</mn></mfrac></mrow></mfenced><mi>tt</mi></msup></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>redondear</mi><mfenced><mi>dd</mi></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>tt</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3500</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cc</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cc</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dd</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>4505154521321594525000</mn><mn>174887470365513049</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>25760</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math></output></command></group><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 mathvariant="normal">T</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi>t</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param><param name="decimalseparators">', �, ., \,</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Anualidades de Amortización (Tiempo 2)
¿Durante cuántos trimestres se deberá pagar una cuota trimestral de #c € si se quiere quiere pagar una deuda de #d € a un interés de #r % anual?
]]>
1.0000000
0.3333333
0
0
Tiempo=#t]]>
<question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tt</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mn>2</mn><mo>,</mo><mn>15</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mn>4</mn><mo>*</mo><mi>tt</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1000</mn><mo>,</mo><mn>1500</mn><mo>,</mo><mn>2000</mn><mo>,</mo><mn>2500</mn><mo>,</mo><mn>3000</mn><mo>,</mo><mn>3500</mn><mo>,</mo><mn>4000</mn><mo>,</mo><mn>4500</mn><mo>,</mo><mn>5000</mn><mo>,</mo><mn>5500</mn><mo>,</mo><mn>6000</mn></mtd></mtr></mtable></mfenced></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>r</mi><mo>=</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>4</mn><mo>,</mo><mn>4</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>7</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>8</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dd</mi><mo>=</mo><mfrac><mrow><mi>c</mi><mo>*</mo><mo>(</mo><mo>(</mo><mn>1</mn><mo>+</mo><mfrac><mi>r</mi><mrow><mn>100</mn><mo>*</mo><mn>4</mn></mrow></mfrac><msup><mo>)</mo><mi>t</mi></msup><mo>-</mo><mn>1</mn><mo>)</mo></mrow><mrow><mfrac><mi>r</mi><mrow><mn>100</mn><mo>*</mo><mn>4</mn></mrow></mfrac><mo>*</mo><msup><mfenced><mrow><mn>1</mn><mo>+</mo><mfrac><mi>r</mi><mrow><mn>100</mn><mo>*</mo><mn>4</mn></mrow></mfrac></mrow></mfenced><mi>t</mi></msup></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>redondear</mi><mfenced><mi>dd</mi></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3500</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cc</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cc</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dd</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>6995680311781689787815540987398009830658124658899403650914486660663265912146583464486830175000</mn><mn>62179776559827072453132867575519319568046426622282306576654209489504376640837619797067601</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>112507</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>52</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math></output></command></group><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 mathvariant="normal">T</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi>t</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param><param name="decimalseparators">', �, ., \,</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Anualidades de Capitalización (Cuota 1)
Averigua la anualidad que tendríamos que abonar al principio de cada año durante #t años para conseguir #m € al #r % anual]]>
1.0000000
0.3333333
0
0
Cuota=#c]]>
<question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cc</mi><mo>=</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1000</mn><mo>,</mo><mn>1500</mn><mo>,</mo><mn>2000</mn><mo>,</mo><mn>2500</mn><mo>,</mo><mn>3000</mn><mo>,</mo><mn>3500</mn><mo>,</mo><mn>4000</mn><mo>,</mo><mn>4500</mn><mo>,</mo><mn>5000</mn><mo>,</mo><mn>5500</mn><mo>,</mo><mn>6000</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mn>2</mn><mo>,</mo><mn>15</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>4</mn><mo>,</mo><mn>4</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>7</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>8</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mm</mi><mo>=</mo><mfrac><mrow><mi>cc</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>+</mo><mfrac><mi>r</mi><mn>100</mn></mfrac><mo>)</mo><mo>*</mo><mo>(</mo><mo>(</mo><mn>1</mn><mo>+</mo><mfrac><mi>r</mi><mn>100</mn></mfrac><msup><mo>)</mo><mi>t</mi></msup><mo>-</mo><mn>1</mn><mo>)</mo></mrow><mfrac><mi>r</mi><mn>100</mn></mfrac></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>redondear</mi><mfenced><mi>mm</mi></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>cc</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1000</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mm</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>13801008</mn><mn>3125</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4416</mn></math></output></command></group><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 mathvariant="normal">C</mi><mi>u</mi><mi>o</mi><mi>t</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>c</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param><param name="decimalseparators">', �, ., \,</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Anualidades de Capitalización (Cuota 2)
Averigua la cuota trimestral que tendríamos que abonar al principio de cada trimestre durante #tt años para conseguir #m € al #r % anual]]>
2.0000000
0.3333333
0
0
Cuota=#c]]>
<question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cc</mi><mo>=</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1000</mn><mo>,</mo><mn>1500</mn><mo>,</mo><mn>2000</mn><mo>,</mo><mn>2500</mn><mo>,</mo><mn>3000</mn><mo>,</mo><mn>3500</mn><mo>,</mo><mn>4000</mn><mo>,</mo><mn>4500</mn><mo>,</mo><mn>5000</mn><mo>,</mo><mn>5500</mn><mo>,</mo><mn>6000</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tt</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mn>2</mn><mo>,</mo><mn>15</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>tt</mi><mo>*</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>4</mn><mo>,</mo><mn>4</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>7</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>8</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mm</mi><mo>=</mo><mfrac><mrow><mi>cc</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>+</mo><mfrac><mi>r</mi><mrow><mn>100</mn><mo>*</mo><mn>4</mn></mrow></mfrac><mo>)</mo><mo>*</mo><mo>(</mo><mo>(</mo><mn>1</mn><mo>+</mo><mfrac><mi>r</mi><mrow><mn>100</mn><mo>*</mo><mn>4</mn></mrow></mfrac><msup><mo>)</mo><mi>t</mi></msup><mo>-</mo><mn>1</mn><mo>)</mo></mrow><mfrac><mi>r</mi><mrow><mn>100</mn><mo>*</mo><mn>4</mn></mrow></mfrac></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>redondear</mi><mfenced><mi>mm</mi></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>cc</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2000</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>33</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mm</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>50221965527928419782276576381848031893529127379290734316417530816</mn><mn>602714554323799714917464509511546566500328481197357177734375</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>83326</mn></math></output></command></group><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 mathvariant="normal">C</mi><mi>u</mi><mi>o</mi><mi>t</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>c</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param><param name="decimalseparators">', �, ., \,</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Anualidades de Capitalización (Montante 1)
Averigua el montante producido por una depósito anual de #c € durante #t años si el interés ofrecido por la entidad financiera es del #r %]]>
1.0000000
0.3333333
0
0
Montante=#M]]>
<question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1000</mn><mo>,</mo><mn>1500</mn><mo>,</mo><mn>2000</mn><mo>,</mo><mn>2500</mn><mo>,</mo><mn>3000</mn><mo>,</mo><mn>3500</mn><mo>,</mo><mn>4000</mn><mo>,</mo><mn>4500</mn><mo>,</mo><mn>5000</mn><mo>,</mo><mn>5500</mn><mo>,</mo><mn>6000</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mn>2</mn><mo>,</mo><mn>15</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>4</mn><mo>,</mo><mn>4</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>7</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>8</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>MM</mi><mo>=</mo><mfrac><mrow><mi>c</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>+</mo><mfrac><mi>r</mi><mn>100</mn></mfrac><mo>)</mo><mo>*</mo><mo>(</mo><mo>(</mo><mn>1</mn><mo>+</mo><mfrac><mi>r</mi><mn>100</mn></mfrac><msup><mo>)</mo><mi>t</mi></msup><mo>-</mo><mn>1</mn><mo>)</mo></mrow><mfrac><mi>r</mi><mn>100</mn></mfrac></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M</mi><mo>=</mo><mi>redondear</mi><mo>(</mo><mi>MM</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3000</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>12</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6.5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>MM</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>55499.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>55499</mn></math></output></command></group><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>M</mi><mi>o</mi><mi>n</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi>M</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param><param name="decimalseparators">', �, ., \,</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Anualidades de Capitalización (Montante 2)
Averigua el montante producido por una depósito trimestral de #c € durante #tt años si el interés ofrecido por la entidad financiera es del #r %]]>
1.0000000
0.3333333
0
0
Montante=#m]]>
<question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1000</mn><mo>,</mo><mn>1500</mn><mo>,</mo><mn>2000</mn><mo>,</mo><mn>2500</mn><mo>,</mo><mn>3000</mn><mo>,</mo><mn>3500</mn><mo>,</mo><mn>4000</mn><mo>,</mo><mn>4500</mn><mo>,</mo><mn>5000</mn><mo>,</mo><mn>5500</mn><mo>,</mo><mn>6000</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tt</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mn>2</mn><mo>,</mo><mn>10</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mn>4</mn><mo>*</mo><mi>tt</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>4</mn><mo>,</mo><mn>4</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>7</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>8</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mm</mi><mo>=</mo><mfrac><mrow><mi>c</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>+</mo><mfrac><mi>r</mi><mrow><mn>100</mn><mo>*</mo><mn>4</mn></mrow></mfrac><mo>)</mo><mo>*</mo><mo>(</mo><mo>(</mo><mn>1</mn><mo>+</mo><mfrac><mi>r</mi><mrow><mn>100</mn><mo>*</mo><mn>4</mn></mrow></mfrac><msup><mo>)</mo><mi>t</mi></msup><mo>-</mo><mn>1</mn><mo>)</mo></mrow><mfrac><mi>r</mi><mrow><mn>100</mn><mo>*</mo><mn>4</mn></mrow></mfrac></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>redondear</mi><mo>(</mo><mi>mm</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3000</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tt</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>24</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mm</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>25355935096156977167958363174650202289290029770475240659445533203</mn><mn>281474976710656000000000000000000000000000000000000000000000</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>90082</mn></math></output></command></group><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>M</mi><mi>o</mi><mi>n</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">m</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param><param name="decimalseparators">', �, ., \,</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Anualidades de Capitalización (Tiempo 1)
Averigua durante cuántos años se ha de abonar una anualidad de #c € al #r % anual para conseguir un montante de #m €]]>
1.0000000
0.3333333
0
0
Tiempo=#t]]>
<question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tt</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mn>2</mn><mo>,</mo><mn>15</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1000</mn><mo>,</mo><mn>1500</mn><mo>,</mo><mn>2000</mn><mo>,</mo><mn>2500</mn><mo>,</mo><mn>3000</mn><mo>,</mo><mn>3500</mn><mo>,</mo><mn>4000</mn><mo>,</mo><mn>4500</mn><mo>,</mo><mn>5000</mn><mo>,</mo><mn>5500</mn><mo>,</mo><mn>6000</mn></mtd></mtr></mtable></mfenced></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>r</mi><mo>=</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>4</mn><mo>,</mo><mn>4</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>7</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>8</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mm</mi><mo>=</mo><mfrac><mrow><mi>c</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>+</mo><mfrac><mi>r</mi><mn>100</mn></mfrac><mo>)</mo><mo>*</mo><mo>(</mo><mo>(</mo><mn>1</mn><mo>+</mo><mfrac><mi>r</mi><mn>100</mn></mfrac><msup><mo>)</mo><mi>tt</mi></msup><mo>-</mo><mn>1</mn><mo>)</mo></mrow><mfrac><mi>r</mi><mn>100</mn></mfrac></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>redondear</mi><mfenced><mi>mm</mi></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>tt</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5500</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tt</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mm</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>38605.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>38605</mn></math></output></command></group><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 mathvariant="normal">T</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi>t</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param><param name="decimalseparators">', �, ., \,</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Anualidades de Capitalización (Tiempo 2)
Averigua durante cuántos trimestres se ha de ingresar una cantidad de #c € al #r % anual para conseguir un montante de #m €]]>
1.0000000
0.3333333
0
0
Tiempo=#t]]>
<question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tt</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mn>2</mn><mo>,</mo><mn>15</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mn>4</mn><mo>*</mo><mi>tt</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1000</mn><mo>,</mo><mn>1500</mn><mo>,</mo><mn>2000</mn><mo>,</mo><mn>2500</mn><mo>,</mo><mn>3000</mn><mo>,</mo><mn>3500</mn><mo>,</mo><mn>4000</mn><mo>,</mo><mn>4500</mn><mo>,</mo><mn>5000</mn><mo>,</mo><mn>5500</mn><mo>,</mo><mn>6000</mn></mtd></mtr></mtable></mfenced></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>r</mi><mo>=</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>4</mn><mo>,</mo><mn>4</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>7</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>8</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mm</mi><mo>=</mo><mfrac><mrow><mi>c</mi><mo>*</mo><mo>(</mo><mn>1</mn><mo>+</mo><mfrac><mi>r</mi><mrow><mn>100</mn><mo>*</mo><mn>4</mn></mrow></mfrac><mo>)</mo><mo>*</mo><mo>(</mo><mo>(</mo><mn>1</mn><mo>+</mo><mfrac><mi>r</mi><mrow><mn>100</mn><mo>*</mo><mn>4</mn></mrow></mfrac><msup><mo>)</mo><mi>t</mi></msup><mo>-</mo><mn>1</mn><mo>)</mo></mrow><mfrac><mi>r</mi><mrow><mn>100</mn><mo>*</mo><mn>4</mn></mrow></mfrac></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>redondear</mi><mfenced><mi>mm</mi></mfenced></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"><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5000</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tt</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mm</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3339924688156692195651</mn><mn>48828125000000000</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>68402</mn></math></output></command></group><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 mathvariant="normal">T</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo>=</mo><mo>#</mo><mi>t</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param><param name="decimalseparators">', �, ., \,</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>