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Question: Valeri wants to buy a performance exhaust system for her car. The exhaust systems cost $1,500. She pays 30% up front and finances the rest. Her monthly payment for financing is $97. The APR for financing is
To find the APR (Annual Percentage Rate) for financing, we first need to calculate the amount that was financed and the total number of monthly payments Valeri has to make. 1. Calculate the upfront payment: 30% of $1,500 = 0.3 * $1,500 = $450 2. Calculate the financed amount: Total cost - Upfront payment = $1,500 - $450 = $1,050 3. Determine the number of monthly payments: Since Valeri is making $97 monthly payments, we can divide the financed amount by the monthly payment amount to find the number of payments. Number of payments = Financed amount / Monthly payment = $1,050 / $97 ≈ 10.82 We will round up to 11 payments since she cannot make a fraction of a payment. To find the APR, we can use the following formula: APR = [((Total cost of financing - Initial financed amount) / Initial financed amount) / Number of years] * 100 4. Calculate the total cost of financing: Total cost of financing = Number of payments * Monthly payment = 11 * $97 = $1,067 5. Calculate the APR: APR = [((Total cost of financing - Initial financed amount) / Initial financed amount) / Number of years] * 100 APR = [((1,067 - 1,050) / 1,050) / (11/12)] * 100 ≈ 21.11% The APR for financing is approximately 21.11%.
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