Suppose that you borrow $14,000 for three years at 5% toward the purchase of a car. Use PMT=- find the monthly payments and the total interest for the loan. (KIX) The monthly payment is $. (Do not round until the final answer. Then round to the nearest cent as needed.) 1 The total interest for the loan is $. (Use the answer from part (a) to find this answer. Round to the nearest cent as needed.) P -|C to

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Example: Calculating Monthly Car Loan Payments**

Suppose that you borrow $14,000 for three years at 5% interest toward the purchase of a car. To calculate the monthly payments and the total interest for the loan, use the formula:

\[ 
\text{PMT} = \frac{P \frac{r}{n}}{1 - \left(1 + \frac{r}{n}\right)^{-nt}} 
\]

**Steps:**

1. Calculate the monthly payment (PMT).  
   - Do not round until the final answer. Then round to the nearest cent as needed.

2. Calculate the total interest for the loan.
   - Use the answer from part (1) to find this answer. Round to the nearest cent as needed.

**Graph Explanation:**

This section does not include graphs or diagrams. The provided formula relates to calculating monthly payments (PMT) for a loan based on the principal amount (P), annual interest rate (r), number of payments per year (n), and the total number of payments (nt).
Transcribed Image Text:**Example: Calculating Monthly Car Loan Payments** Suppose that you borrow $14,000 for three years at 5% interest toward the purchase of a car. To calculate the monthly payments and the total interest for the loan, use the formula: \[ \text{PMT} = \frac{P \frac{r}{n}}{1 - \left(1 + \frac{r}{n}\right)^{-nt}} \] **Steps:** 1. Calculate the monthly payment (PMT). - Do not round until the final answer. Then round to the nearest cent as needed. 2. Calculate the total interest for the loan. - Use the answer from part (1) to find this answer. Round to the nearest cent as needed. **Graph Explanation:** This section does not include graphs or diagrams. The provided formula relates to calculating monthly payments (PMT) for a loan based on the principal amount (P), annual interest rate (r), number of payments per year (n), and the total number of payments (nt).
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