Wade Ellis buys a new car for $16,515.75. He puts 10% down and obtains a simple interest amortized loan for the rest at 1112% interest for four years. (Round your answers to the nearest cent.)(a) Find his monthly payment.
Question
Wade Ellis buys a new car for $16,515.75. He puts 10% down and obtains a simple interest amortized loan for the rest at 1112% interest for four years. (Round your answers to the nearest cent.)(a) Find his monthly payment.
Solution
To find Wade Ellis's monthly payment, we need to follow these steps:
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Calculate the down payment: 10% of 1,651.58.
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Subtract the down payment from the total cost to find the loan amount: 1,651.58 = $14,864.17.
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Calculate the annual interest: 1112% of 165,304.30.
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Divide the annual interest by 12 to find the monthly interest: 13,775.36.
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Multiply the monthly interest by the number of months in the loan term (4 years = 48 months): 661,217.28.
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Add the loan amount to the total interest to find the total repayment amount: 661,217.28 = $676,081.45.
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Divide the total repayment amount by the number of months in the loan term to find the monthly payment: 14,085.03.
So, Wade Ellis's monthly payment would be $14,085.03.
Please note that the interest rate of 1112% is extremely high and not typical for a car loan. The calculations are based on this rate, but in reality, the interest rate would likely be much lower.
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