Math Problem Statement
Compute the monthly payment and the total amount spent for a vehicle that costs $16 comma 100 if you finance the entire purchase over 5 years at an annual rate of 8.75 percent. Calculate the payment if you finance the car for only four years. Finally, calculate the payment for three years. What do you notice about the payment under the different time assumptions? Note: Round intermediate computations to at least five (5) decimal places. Click on the table icon to view the MILPF table LOADING.... Question content area bottom Part 1 The monthly payment, PMT, on the 5-year auto loan is $
enter your response here. (Round to the nearest cent.) Part 2 The total amount spent if you financed $16 comma 100 for 5 years at 8.75 percent per year is $
enter your response here. (Round to the nearest cent.) Part 3 The monthly payment, PMT, on the 4-year auto loan is $
enter your response here. (Round to the nearest cent.) Part 4 Finally, the monthly payment, PMT, on the 3-year auto loan is $
enter your response here. (Round to the nearest cent.) Part 5 What do you notice about the payment under the different time assumptions? (Select the best choice below.) A. As the number of payments decreases, the monthly payment decreases, all else equal. The shorter the borrowing period, the lower the monthly payments. B. As the number of payments decreases, the monthly payment increases, all else equal. The shorter the borrowing period, the higher the monthly payments.
Solution
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Math Problem Analysis
Mathematical Concepts
Loan Amortization
Compound Interest
Monthly Payments
Time Value of Money
Formulas
PMT = (P * r * (1 + r)^n) / ((1 + r)^n - 1)
Total Amount Spent = PMT * n
Theorems
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Suitable Grade Level
Grades 9-12
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