29.99%.

To find the APR (Annual Percentage Rate), we need to first determine the financed amount and the total cost of the loan. Then we can calculate the APR. 1. Calculate the initial payment: 30% of $1,500 Initial payment = 0.3 × $1,500 = $450 2. Calculate the amount financed: total cost - initial payment Amount financed = $1,500 - $450 = $1,050 3. Determine the number of months needed to pay off the financed amount: We need to find out how many months it would take Valeri to pay off her loan. Since her monthly payment is $97, we need to divide the financed amount by her monthly payment. Number of months = $1,050 / $97 ≈ 10.8 months (assuming she is rounding up, Valeri would need 11 months to pay off her loan) 4. Calculate the total interest paid: Total paid after financing = monthly payment × number of months Total paid after financing = $97 × 11 = $1,067 Interest paid = total paid after financing - amount financed Interest paid = $1,067 - $1,050 = $17 5. Calculate the APR: Since we have interest paid, financing amount, and the loan term (number of months), we can use these values to estimate the APR. First, we will find the monthly interest rate, considering that there are 12 months in a year: Monthly interest rate = (interest paid / financing amount) / number of months Monthly interest rate = ($17 / $1,050) / 11 ≈ 0.0015 Now, we can calculate the APR: APR = monthly interest rate × number of months in a year APR = 0.0015 × 12 = 0.018 or 1.8% Valeri's estimated APR for financing her performance exhaust system is approximately 1.8%.