A car dealer carries out the following calculations. What is the annual percentage rate? (Round your answer to the nearest tenth.)

List price $ 5,368.00
Options $ 1,625.00
Destination charges $ 200.00
Subtotal $ 7,193.00
Tax $ 431.58
Less trade-in $ 2,932.00
Amount to be financed $ 4,692.58
8% interest for 48 months $ 1,501.63
MONTHLY PAYMENT $ 129.05

 

in Algebra 1 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

The bottom-line figure is amount to be financed=$4,692.58. All the other figures above this are the dealer's own calculations.

The monthly payment must cover this plus interest. 48 payments of $129.05=$6,194.40.

The growth is 6194.4/4692.58=1.32004 approx.

(1+r)^4=1.32004; 4log(1+r)=log1.32004=0.12059, so log(1+r)=0.03015 approx, 1+r=1.0719, making r=7.19% per annum compound interest rate. 4692.58+1501.63=$6,194.21 is the amount estimated by the dealer. The difference can be explaned by rounding errors affecting the cents calculation. Using 6194.21/4692.58=1.32000 still gives 7.19% or 7.2% to the nearest tenth.

by Top Rated User (1.2m points)

Related questions

1 answer
1 answer
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
87,516 questions
100,279 answers
2,420 comments
732,350 users