When Gerardo was born, his grandparents started a savings account for him with a beginning balance of 1,250 Peruvian Sols. Every month they deposited 160 Sols into the account. The savings account paid an annual interest rate of 2.1%, compounded monthly.Gerardo just turned 24 and the balance of his account is now $61,917.43.How much of the money in Gerardo's account was earned in interest?(Round your answer to two decimal places, and don't include a currency sign.)
Question
When Gerardo was born, his grandparents started a savings account for him with a beginning balance of 1,250 Peruvian Sols. Every month they deposited 160 Sols into the account. The savings account paid an annual interest rate of 2.1%, compounded monthly.Gerardo just turned 24 and the balance of his account is now $61,917.43.How much of the money in Gerardo's account was earned in interest?(Round your answer to two decimal places, and don't include a currency sign.)
Solution
Para resolver este problema, sigamos los siguientes pasos:
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Calcular el número total de meses: Gerardo tiene 24 años, y cada año tiene 12 meses.
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Calcular el monto total depositado sin intereses: Los abuelos de Gerardo depositaron 160 Soles cada mes durante 288 meses, además del saldo inicial de 1,250 Soles.
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Calcular el monto total en la cuenta con intereses: El saldo final de la cuenta es 61,917.43 Soles.
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Calcular el monto ganado en intereses:
Por lo tanto, el monto de dinero en la cuenta de Gerardo que fue ganado en intereses es 14,587.43.
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