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
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.4: Mathematics Of Finance
Problem 23E
icon
Related questions
Question
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning