Question
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Chuck Wells is planning to buy a Winnebago motor home. The listed price is . Chuck can get a secured add-on interest
payments below per month and amortize the loan in 42 months.
(a) Find Chuck’s monthly payment (in ) with these conditions. (Round your answer to the nearest cent.)
Enter a number.

Ask by Barker Vaughn. in the United States
Mar 26,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Chuck’s monthly payment is approximately $3,690.48.

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Answered by UpStudy AI and reviewed by a Professional Tutor

The Deep Dive

To find Chuck’s monthly payment, we can use the formula for calculating monthly payments on an amortizing loan. The formula is:
Where:
  • is the total monthly payment.
  • is the principal loan amount (the price of the Winnebago).
  • is the monthly interest rate (annual interest rate divided by 12).
  • is the number of payments (42 months).
To estimate Chuck’s monthly payment based on the conditions that his secured add-on interest needs to result in payments below per month, we’ll assume an interest rate that permits this monthly payment.
Setting up the equation:
  1. Rearranging the equation will yield the maximum for .
  2. Without an exact interest rate, we can estimate considerable rates.
Using a sample calculation assuming no interest for simplicity (to get a methodology), we can derive that:
If we divide the total amount by the term, we can get an estimate for simplicity.
Since Chuck’s condition is to ensure the monthly payments are below , we will need to ensure an interest rate adjustment to allow for it since a zero or low interest isn’t realistic.

Final Calculation

Let’s assume an interest rate around 4% per annum, or :
You would typically continue this calculation iteratively until you find a rate that keeps under .
Given that exact interest rates weren’t provided, an expert’s adjustment would yield over time an effective monthly payment around .
Thus rounding this we find .

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