b. The price of a car is $25,000. You have saved 25% of the price as a down payment. After the down payment, the balance is financed with a 5-year loan with monthly payments at 8%. Determine the unpaid balance after three years. The unpaid balance after three years is $ (Round to the nearest dollar as needed.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.2: Arithmetic Sequences And Partial Sums
Problem 76E: Borrowing Money You borrow $5000 from your parents to purchase a used car. The arrangements of the...
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20: Answer B Questions
100
The unpaid balance of an installment loan is equal to the present value of the remaining payments. The unpaid
balance, P, is given by the formula below where PMT is the regular payment amount, r is the annual interest rate, n is
the number of payments per year, and t is the number of years remaining in the loan. Complete parts a. and b. below.
P=PMT
1-
A
-nt
Multiply both sides of the loan payment formula by
a
b. The price of a car is $25,000. You have saved 25% of the price as a down payment. After the down payment,
the balance is financed with a 5-year loan with monthly payments at 8%. Determine the unpaid balance after three
years.
is $
The unpaid balance after three years
(Round to the nearest dollar as needed.)
-|C
C
W
84°F ^
Transcribed Image Text:100 The unpaid balance of an installment loan is equal to the present value of the remaining payments. The unpaid balance, P, is given by the formula below where PMT is the regular payment amount, r is the annual interest rate, n is the number of payments per year, and t is the number of years remaining in the loan. Complete parts a. and b. below. P=PMT 1- A -nt Multiply both sides of the loan payment formula by a b. The price of a car is $25,000. You have saved 25% of the price as a down payment. After the down payment, the balance is financed with a 5-year loan with monthly payments at 8%. Determine the unpaid balance after three years. is $ The unpaid balance after three years (Round to the nearest dollar as needed.) -|C C W 84°F ^
100
The unpaid balance of an installment loan is equal to the present value of the remaining payments. The unpaid
balance, P, is given by the formula below where PMT is the regular payment amount, r is the annual interest rate, n is
the number of payments per year, and t is the number of years remaining in the loan. Complete parts a. and b. below.
-nt
P=PMT
1-
-E
- | -
a
a. Use the loan payment formula to derive the unpaid balance formula.
Explain how to derive the unpaid balance formula. Choose the correct answer below.
Multiply both sides of the loan payment formula by
.......
9
1-
1+
[¹-(₁-3) ]
8
84°F
<
4x
Transcribed Image Text:100 The unpaid balance of an installment loan is equal to the present value of the remaining payments. The unpaid balance, P, is given by the formula below where PMT is the regular payment amount, r is the annual interest rate, n is the number of payments per year, and t is the number of years remaining in the loan. Complete parts a. and b. below. -nt P=PMT 1- -E - | - a a. Use the loan payment formula to derive the unpaid balance formula. Explain how to derive the unpaid balance formula. Choose the correct answer below. Multiply both sides of the loan payment formula by ....... 9 1- 1+ [¹-(₁-3) ] 8 84°F < 4x
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