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omeli [17]
2 years ago
15

El 1 de enero de 1990, Emilio depositó $ 1650 en una cuenta de ahorros pagando el 6.2% de interés, compuesto mensualmente. Si no

ha realizado depósitos o retiros adicionales desde entonces, y si la tasa de interés se ha mantenido igual, ¿en qué año su saldo alcanzó los $ 3300, de acuerdo con la regla de 72?
Spanish
1 answer:
lina2011 [118]2 years ago
6 0
<span>El saldo se duplica en t años.  

El multiplicador de capitalización mensual es (1 + .062 / 12) ^ 12t y esto será igual a 2.  

 Tomando logaritmos naturales, 12t (ln1.005166666) = ln 2.

  La solución para t da 11.2. Esto significa que pasan más de 11 años completos hasta que ocurra este evento de duplicación, entonces 1990 + 12 = 2002. Respuesta: B

   Presumiblemente, la regla de 72 arrojará la misma respuesta. (Dicha regla no está en mi repertorio).</span>
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