Pregunta
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.
payments below
(a) Find Chuck’s monthly payment (in
Enter a number.
Ask by Barker Vaughn. in the United States
Mar 26,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Chuck’s monthly payment is approximately $3,690.48.
Solución
To find Chuck’s monthly payment, we can use the formula for the monthly payment of an amortized loan, which is given by:
Where:
-
is the monthly payment -
is the principal amount (the loan amount) -
is the monthly interest rate (annual interest rate divided by 12) -
is the number of payments (loan term in months)
Given:
-
-
- The monthly payment
must be less than .
Since we don’t have the interest rate, we will first calculate the maximum monthly payment without the interest rate and then check if it fits within the limit.
Let’s calculate the maximum monthly payment
using the principal and the number of months.
We can rearrange the formula to find
:
Now, substituting the values:
Let’s calculate this value.
Calculate the value by following steps:
Calculate the value by following steps:
- step0: Calculate:
- step1: Reduce the fraction:
Calculating the maximum monthly payment:
Thus, Chuck’s monthly payment would be approximately
dollars.
Since this amount is below the limit of
, it fits within the conditions provided.
Therefore, Chuck’s monthly payment is approximately $3,690.48 (rounded to the nearest cent).
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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:
- Rearranging the equation
will yield the maximum for . - 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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