Suppose that you borrow $14,000 for four years at 5% toward the purchase of a car. Use PMT = to find the monthly payments and the total interest - nt 1- for the loan. The monthly payment is $ 322.41. (Do not round until the final answer. Then round to the nearest cent as needed.) The total interest for the loan is $. (Use the answer from part (a) to find this answer. Round to the nearest cent as needed.)

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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### Loan Repayment Calculation

Suppose that you borrow $14,000 for four years at an interest rate of 5% toward the purchase of a car. You can use the formula below to find the monthly payments and the total interest for the loan.

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

Where:
- \( P \) is the principal amount ($14,000).
- \( r \) is the annual interest rate (0.05).
- \( n \) is the number of times the interest is compounded per year (12, for monthly).
- \( t \) is the loan term in years (4).

#### Monthly Payment Calculation
The monthly payment is **$322.41**.
(Do not round until the final answer. Then round to the nearest cent as needed.)

#### Total Interest Calculation
Calculate the total interest by using the answer from part (a) to find this value. 
Round to the nearest cent as needed.

(Note: The section for entering the total interest value is left blank, indicating that it needs to be calculated.)
Transcribed Image Text:### Loan Repayment Calculation Suppose that you borrow $14,000 for four years at an interest rate of 5% toward the purchase of a car. You can use the formula below to find the monthly payments and the total interest for the loan. #### Formula for Monthly Payments \[ \text{PMT} = \frac{P \left(\frac{r}{n}\right)}{1 - \left(1 + \frac{r}{n}\right)^{-nt}} \] Where: - \( P \) is the principal amount ($14,000). - \( r \) is the annual interest rate (0.05). - \( n \) is the number of times the interest is compounded per year (12, for monthly). - \( t \) is the loan term in years (4). #### Monthly Payment Calculation The monthly payment is **$322.41**. (Do not round until the final answer. Then round to the nearest cent as needed.) #### Total Interest Calculation Calculate the total interest by using the answer from part (a) to find this value. Round to the nearest cent as needed. (Note: The section for entering the total interest value is left blank, indicating that it needs to be calculated.)
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