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For a loan of UF 270,000, UF 30,217.50 of interest was paid after 8 and a half months. What annual simple interest rate was applied to the loan?

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Answer to a math question For a loan of UF 270,000, UF 30,217.50 of interest was paid after 8 and a half months. What annual simple interest rate was applied to the loan?

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Corbin
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A continuación se explica cómo calcular la tasa de interés simple anual paso a paso: **1. Convertir meses a años:** * Un año tiene 12 meses, por lo que 8 meses y medio equivalen a 8,5/12 = 0,7083 años. **2. Utilice la fórmula de interés simple:** * Interés simple (SI) = (Principal * Tasa * Tiempo) / 100 * Dónde: *SI = 30.217,50 UF (Intereses pagados) * Principal = 270.000 UF (Monto del préstamo) * Tiempo = 0,7083 años (Duración del préstamo) * Tasa = La tasa de interés anual desconocida que queremos encontrar **3. Reorganice la fórmula para resolver Tasa:** * Tarifa = (SI * 100) / (Principal * Tiempo) **4. Introduzca los valores y calcule:** * Tasa = (30.217,50 * 100) / (270.000 * 0,7083) * Tasa = 3.021.750 / 191.241 * Tasa ≈ 15,80% **Por tanto, la tasa de interés simple anual aplicada al préstamo es aproximadamente del 15,80%.**

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