Question

Automobiles generally depreciate 14% per year. Hamid purchased a Smart Car for $25 000.
Create an equation that represents the value of this new vehicle over time, in years.
What would its value be after 20 years?
How long will it take for the Smart Car to lose three-quarters of its original value?

Answer 1

@kc_kennylau

Answer 2

Equation would be:
\[\LARGE A=25,000(1-.14)^n \]
Where n=number of years and A=total amount.

Answer 3

okay thank you!

Answer 4

part b ? @Luigi0210

Answer 5

Plug in 20 as "n" into the equation and evaluate.

Answer 6

i got 1224.35

Answer 7

@Luigi0210

Answer 8

Well actually it's $1224.36, but yea.

Answer 9

part c??

Answer 10

@Luigi0210

Answer 11

Solve this for n:
\[\LARGE 6250=25,000(1-.14)^n \]

Answer 12

what is n? @Luigi0210

Answer 13

Solve for it..

Answer 14

ok one sec

Answer 15

-10.5 ?

Answer 16

@Luigi0210

Answer 17

is ir righttt???

Answer 18

@Luigi0210

Answer 19

How did you get a negative?

Answer 20

idk

Answer 21

what did you get?

Answer 22

http://www.wolframalpha.com/input/?i=log1.14%286250%2F25000%29

Answer 23

@Luigi0210

Answer 24

It's about 9 years:
http://www.wolframalpha.com/input/?i=6250%3D25%2C000%281%E2%88%92.14%29%5En

Answer 25

@Luigi0210

Answer 26

can you simplify them for me ?

Answer 27

Open a new question and post them separately