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<p><span style="font-family: arial, helvetica, sans-serif;">Se invierten $ #p al inicio del año #a a una tasa del #in % de interés simple anual. ¿Cuánto se habrá acumulado al final del año #a1 ?</span></p> <p><span style="font-family: arial, helvetica, sans-serif;"> </span></p> <p><strong><span style="color: #ff0000;"><span style="font-family: arial, helvetica, sans-serif;">obs.: El resultado ingrésalo aproximado al entero superior sin utilizar el signo $ ( por ejemplo: si la respuesta es $ 56 351.8 se debe ingresar 56352 ; si la respuesta es $ 56 351.2 se debe ingresar 56352 )</span><br /></span></strong></p>
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<p><span style="font-size: medium;">Se trata de una inversión, con una tasa de interés simple, con interés y capitalización anual. En general tenemos:</span></p> <p><span style="font-size: medium;"> <br /></span></p> <p style="text-align: center;"><span style="font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi mathvariant=¨bold-italic¨»C«/mi»«mrow»«mi mathvariant=¨bold¨»n«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«/mrow»«/msub»«mo mathvariant=¨bold¨»=«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»C«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»(«/mo»«mn mathvariant=¨bold¨»1«/mn»«mo mathvariant=¨bold¨»+«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»n«/mi»«mo mathvariant=¨bold¨»§#183;«/mo»«mi mathvariant=¨bold-italic¨»i«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»)«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi mathvariant=¨bold-italic¨»D«/mi»«mi mathvariant=¨bold-italic¨»o«/mi»«mi mathvariant=¨bold-italic¨»n«/mi»«mi mathvariant=¨bold-italic¨»d«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mo mathvariant=¨bold¨»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi mathvariant=¨bold-italic¨»C«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»:«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»C«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»p«/mi»«mi mathvariant=¨bold-italic¨»i«/mi»«mi mathvariant=¨bold-italic¨»t«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»l«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»i«/mi»«mi mathvariant=¨bold-italic¨»n«/mi»«mi mathvariant=¨bold-italic¨»i«/mi»«mi mathvariant=¨bold-italic¨»c«/mi»«mi mathvariant=¨bold-italic¨»i«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»l«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»(«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»C«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»p«/mi»«mi mathvariant=¨bold-italic¨»i«/mi»«mi mathvariant=¨bold-italic¨»t«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»l«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»i«/mi»«mi mathvariant=¨bold-italic¨»n«/mi»«mi mathvariant=¨bold-italic¨»v«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mi mathvariant=¨bold-italic¨»r«/mi»«mi mathvariant=¨bold-italic¨»t«/mi»«mi mathvariant=¨bold-italic¨»i«/mi»«mi mathvariant=¨bold-italic¨»d«/mi»«mi mathvariant=¨bold-italic¨»o«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»)«/mo»«mspace linebreak=¨newline¨/»«mi mathvariant=¨bold-italic¨»i«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»:«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»T«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»s«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»d«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»i«/mi»«mi mathvariant=¨bold-italic¨»n«/mi»«mi mathvariant=¨bold-italic¨»t«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mi mathvariant=¨bold-italic¨»r«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mi mathvariant=¨bold-italic¨»s«/mi»«mspace linebreak=¨newline¨/»«mi mathvariant=¨bold-italic¨»n«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»:«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»n«/mi»«mi mathvariant=¨bold-italic¨»u«/mi»«mi mathvariant=¨bold-italic¨»m«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mi mathvariant=¨bold-italic¨»r«/mi»«mi mathvariant=¨bold-italic¨»o«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»d«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»p«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mi mathvariant=¨bold-italic¨»r«/mi»«mi mathvariant=¨bold-italic¨»i«/mi»«mi mathvariant=¨bold-italic¨»o«/mi»«mi mathvariant=¨bold-italic¨»d«/mi»«mi mathvariant=¨bold-italic¨»o«/mi»«mi mathvariant=¨bold-italic¨»s«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»(«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»c«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»n«/mi»«mi mathvariant=¨bold-italic¨»t«/mi»«mi mathvariant=¨bold-italic¨»i«/mi»«mi mathvariant=¨bold-italic¨»d«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»d«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»d«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»§#241;«/mi»«mi mathvariant=¨bold-italic¨»o«/mi»«mi mathvariant=¨bold-italic¨»s«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»)«/mo»«/math»</span></p> <p><span style="font-size: medium;"> </span></p> <p> </p> <p><span style="font-size: medium;">Dado que el capital inicial es de $ #p , la tasa de interés simple con capitalización anual es del #in % y la cantidad de períodos es de #b años, correspondiente a la diferencia entre el año #a y #a1,</span><span style="font-size: medium;">entonces tenemos:</span></p> <p> </p> <p style="text-align: center;"><span style="font-size: medium;"><span style="font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mspace linebreak=¨newline¨/»«mi mathvariant=¨bold-italic¨»C«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»=«/mo»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold-italic¨»p«/mi»«mspace linebreak=¨newline¨/»«mi mathvariant=¨bold-italic¨»i«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»=«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold-italic¨»i«/mi»«mi mathvariant=¨bold-italic¨»n«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»%«/mo»«mspace linebreak=¨newline¨/»«mi mathvariant=¨bold-italic¨»n«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»=«/mo»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold-italic¨»b«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»§#241;«/mi»«mi mathvariant=¨bold-italic¨»o«/mi»«mi mathvariant=¨bold-italic¨»s«/mi»«/math»</span></span></p> <p> </p> <p> </p> <p><span style="font-size: medium;">entonces el capital acumulado se determina como:</span></p> <p><span style="font-size: medium;"> </span></p> <p style="text-align: center;"><span style="font-size: medium;"> <span style="font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi mathvariant=¨bold-italic¨»C«/mi»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold-italic¨»b«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«/mrow»«/msub»«mo mathvariant=¨bold¨»=«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold-italic¨»p«/mi»«mo mathvariant=¨bold¨»§#183;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»(«/mo»«mn mathvariant=¨bold¨»1«/mn»«mo mathvariant=¨bold¨»+«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold-italic¨»b«/mi»«mo mathvariant=¨bold¨»§#183;«/mo»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold-italic¨»i«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»)«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«/math»</span></span></p> <p style="text-align: center;"><span style="font-size: medium;"> </span></p> <p><span style="font-size: medium;"> Con lo que el capital acumulado al final del año #a1 es:</span></p> <p> </p> <p style="text-align: center;"><span style="font-size: medium;"> <span style="font-size: medium;"><span style="font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi mathvariant=¨bold-italic¨»C«/mi»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold-italic¨»b«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«/mrow»«/msub»«mo mathvariant=¨bold¨»=«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold-italic¨»s«/mi»«mi mathvariant=¨bold-italic¨»o«/mi»«mi mathvariant=¨bold-italic¨»l«/mi»«mn mathvariant=¨bold¨»1«/mn»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«/math»</span></span></span></p> <p style="text-align: left;"><span style="font-size: medium;">Luego la cantidad aproximada es:</span></p> <p><span style="font-size: medium;"> <br /></span></p> <p style="text-align: center;"><span style="font-size: medium;"> <span style="font-size: medium;"><span style="font-size: medium;"><span style="font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi mathvariant=¨bold-italic¨»C«/mi»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold-italic¨»b«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«/mrow»«/msub»«mo mathvariant=¨bold¨»=«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold-italic¨»s«/mi»«mi mathvariant=¨bold-italic¨»o«/mi»«mi mathvariant=¨bold-italic¨»l«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«/math»</span></span></span></span></p> <p><span style="font-size: medium;"> </span></p>
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<p><span style="font-size: medium; font-family: arial, helvetica, sans-serif;">Muy bien</span></p>
Answer 2
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16.66667%
14.28571%
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11.11111%
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<p><span style="font-family: arial, helvetica, sans-serif; font-size: medium;">Al parecer cometiste un error, revisa tu desarrollo y consulta a tu profesor si aún te quedan dudas.</span></p>
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66.66667%
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33.33333%
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16.66667%
14.28571%
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11.11111%
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33.33333%
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