Welch Hilton
06/12/2023 · Elementary School

Aun capital de Bs 7500 se le aplicó una tasa de interés compuesto del \( 3.1 \% \) mensual du- ante 8 meses. [Cual es el monto obtenido?

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Para calcular el monto obtenido con interés compuesto, se utiliza la fórmula: \[ M = C \times (1 + r)^n \] donde: - \( M \) es el monto final, - \( C \) es el capital inicial, - \( r \) es la tasa de interés (en forma decimal), - \( n \) es el número de períodos. En este caso: - \( C = 7500 \) Bs, - \( r = 3.1\% = 0.031 \), - \( n = 8 \) meses. Sustituyendo los valores en la fórmula: \[ M = 7500 \times (1 + 0.031)^8 \] Calculamos \( (1 + 0.031)^8 \): \[ (1 + 0.031)^8 \approx 1.031^8 \approx 1.274 \] Ahora, multiplicamos por el capital inicial: \[ M \approx 7500 \times 1.274 \approx 9560.25 \] Por lo tanto, el monto obtenido después de 8 meses es aproximadamente **9560.25 Bs**.

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El monto obtenido después de 8 meses es aproximadamente 9560.25 Bs.
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