Final answer:
a) The remaining balance is $23,000. b) The monthly payment is approximately $435.69.
Step-by-step explanation:
a) To find the remaining balance, we need to subtract the down payment from the total price of the RV. So, the remaining balance is $95,000 - $72,000 = $23,000.
b) To calculate the monthly payment, we can use the loan formula:
R = P * (r(1+r)^n)/((1+r)^n-1)
R = Monthly payment
P = Principal loan amount
r = Monthly interest rate (6% ÷ 12 = 0.06 ÷ 12 = 0.005)
n = Number of monthly payments (5 years × 12 months = 60)
Substituting the values into the formula, we get:
R = $23,000 * (0.005(1+0.005)^60)/((1+0.005)^60-1)
R ≈ $435.69
So, the monthly payment is approximately $435.69.