Allan borrowed \( \$ 5,300 \) from his father to buy a car. He repaid him after 10 months with interest of \( 7 \% \). Find the total amount he repaid. Round to the nearest cent. A. \( \$ 5,578.25 \) B. \( \$ 309.17 \) C. \( \$ 5,609.17 \) D. \( \$ 5,671.00 \)

To calculate the total amount Allan repaid, we first find the interest using the formula for simple interest: \[ \text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time} \] Here, the principal is \( \$5,300 \), the rate is \( 7\% \) (or \( 0.07 \)), and the time is \( 10/12 \) of a year (since he borrowed it for 10 months). Plugging in these values: \[ \text{Interest} = 5300 \times 0.07 \times \frac{10}{12} = 5300 \times 0.07 \times 0.8333 \approx 309.17 \] Next, we add the interest to the principal to find the total amount repaid: \[ \text{Total Repayment} = \text{Principal} + \text{Interest} = 5300 + 309.17 \approx 5609.17 \] Therefore, the total amount Allan repaid is approximately \( \$5,609.17 \), which corresponds to option C.