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If Gustavo has accumulated $3,500,000 in his deposit in 18 months and the interest rate was 6% compounded semiannually, how much was the capital deposited by Gustavo?

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Answer to a math question If Gustavo has accumulated $3,500,000 in his deposit in 18 months and the interest rate was 6% compounded semiannually, how much was the capital deposited by Gustavo?

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Frederik
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94 Answers
Primero, identificar la ecuación del interés compuesto:

3500000 = C \left(1 + \frac{0.06}{2}\right)^{3}

Lo siguiente es despejar \( C \):

C = \frac{3500000}{(1 + \frac{0.06}{2})^3}

Calcular la expresión dentro del paréntesis:

1 + \frac{0.06}{2} = 1.03

Elevar esta cantidad al cubo:

1.03^3 \approx 1.092727

Sustituir en la fórmula:

C=\frac{3500000}{1.092727}\approx3202995.81

Por lo tanto, el capital depositado por Gustavo fue:

\approx3202995.81

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