SOLUTION: Maxwell buys a used car by paying a down payment of $5,000 and instalment of $850 a month for 3 years. The first instalment is paid one month after the time of purchase. If the int

Question 1185062: Maxwell buys a used car by paying a down payment of $5,000 and instalment of $850 a month for 3 years. The first instalment is paid one month after the time of purchase. If the interest rate is 9% per year compounded monthly, find the purchase price of the used car
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
down payment is 5000
payments are 850 a month for 3 years.
payments are at the end of each month.
interest rate is 9% per year compounded monthly.

the monthly interest rate is 9/12 = .75%
the number of time periods of the loan is 36 months.
the end of each month payment is 850.
you are looking for the present value of the loan.
using the calculator at , the present value of the loan is 26,729.78.
add 5000 down payment to that and the price of the car is 31,729.78.

inputs to loan calculator.

output from loan calculator.

this can also be done by formula.
the formula used is in the link.
if you need assistance with how to use the formula, let me know.

RELATED QUESTIONS
Annuity Question. fauzi buys a condominium for 80000 and he pays 10% down payment . the... (answered by Theo)

Jenelle bought a home for $220,000, paying 24% as a down payment, and financing the rest... (answered by Theo)

You are buying a used car for $495 you make a down payment of $120 and you're going to... (answered by rfer)

A man borrows 1,000 and agrees to repay with 10 instalments, each instalment being less... (answered by mananth,math_tutor2020,ikleyn)

A man borrows 1,000 and agrees to repay with 10 instalments, each instalment being less... (answered by ikleyn)

Jenelle bought a home for $470,000, paying 20% as a down payment, and financing the rest... (answered by Boreal)

A man borrows 2,00 and agrees to repay with a total interest of 340 in 12 monthly... (answered by ikleyn,math_tutor2020)

The cash price of a television set is $10 000.00 A woman buys the television set on hire (answered by Theo)

Find the monthly PITI payment for a mortgage of $196,000 at a rate of 6.5% for 25 years... (answered by amarjeeth123)