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12 votes
PLS HELP I'M BEGGING U

A new car is purchased for 22300 dollars. The value of the car depreciates at 7.5% per year. To the nearest year, how long will it be until the value of the car is 7700 dollars?

User Avi Marcus
by
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1 Answer

10 votes
10 votes

Answer:

13 years the value of the car is 7700 dollars.

Explanation:

Your search - { Present Volue = initial value (1-7.5%) t t is the years

∴7700 = 22300 (1-7,5%)^t

= $10.925 ) t =
(7700)/(23300) = 0.345 t=13

Supplement:

I year.

P value = 22300- 22300.7.5%

2 years

p value = (122300 - 22300. 7.5% ) - (22300-223107.5%)

= (22300 - 12300.7.5% ) (1-7.5%)

= 22300 (1-7.5%)(1-7.5%).

so t years :

p value = 22300 (1-7.5%)^t

User Daymond
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