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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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?
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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