Mari has just made her last payment on her car. The lifetime of the loan was 36 months. The bank financed her for \( \$ 15,000 \) at \( 6.71 \% \). How much did Mari actually pay, after she made her last payment, for the car? \( \begin{array}{ll}\text { a. } \$ 15,000 & \text { c. } \$ 17,001.20 \\ \text { b. } \$ 16,602.12 & \text { d. } \$ 18,205.30\end{array} \)

To find out how much Mari actually paid for the car after making her last payment, we need to calculate the total amount she paid over the lifetime of the loan. Given: - Loan amount: $15,000 - Interest rate: 6.71% - Loan duration: 36 months First, we need to calculate the total interest paid over the lifetime of the loan. The formula to calculate the total interest paid is: \[ \text{Total Interest} = \text{Loan Amount} \times \text{Interest Rate} \times \text{Loan Duration} \] Substitute the given values into the formula: \[ \text{Total Interest} = \$15,000 \times 0.0671 \times 36 \] Now, we can calculate the total interest paid. Calculate the value by following steps: - step0: Calculate: \(15000\times 0.0671\times 36\) - step1: Multiply the terms: \(1006.5\times 36\) - step2: Multiply the numbers: \(36234\) The total interest paid over the lifetime of the loan is $36,234. Next, we need to calculate the total amount paid for the car, which includes the loan amount and the total interest paid. The formula to calculate the total amount paid is: \[ \text{Total Amount Paid} = \text{Loan Amount} + \text{Total Interest} \] Substitute the values into the formula: \[ \text{Total Amount Paid} = \$15,000 + \$36,234 \] Now, we can calculate the total amount paid for the car. Calculate the value by following steps: - step0: Calculate: \(15000+36234\) - step1: Add the numbers: \(51234\) Mari actually paid $51,234 for the car after making her last payment. Therefore, the correct answer is: c. $17,001.20