Question

GEOMETRIC SEQUENCES
The original value of a car is $18,000, and it depreciates (loses value) by 15% each year. What is the value of the car after three years?

Answer 1

After one year it loses .15 *18000
So how much is it worth after one year

Answer 2

12000? I have no idea

Answer 3

18000 - .15 18000=18000 -2700

Answer 4

15300

Answer 5

18000-2700=15300

Answer 6

Yes

Answer 7

that doesn't help too much for figuring out 3 years

Answer 8

Do another year but strat with 15300

Answer 9

strat?

Answer 10

15300 - .15 * 15300

Answer 11

How much is that?

Answer 12

is there no formula to use where I can plug in numbers?

Answer 13

Yes, I will get you to the formula when you follow my steps

Answer 14

isn't that just making the process longer? You could give me the formula to use and I would know what to do from there :)

Answer 15

\[18000*(1-.15)^3\]

Answer 16

17939.25

Answer 17

No

Answer 18

what did i do incorrect? ono

Answer 19

\[
18000 *(0.85)^3=11054.2
\]

Answer 20

ahh i see what i did... but why is the exponent on the outside?

Answer 21

The exponent is only for .85

Answer 22

18000 is not raised to the power 3

Answer 23

ahhh I HATE MAKING STUPID LITTLE MISTAKES

Answer 24

srry about caps... X)

Answer 25

In general if the original price is P and the depreciation is r %, then the value after in years is
\[
P*(1-r)^n
\]

Answer 26

Do not worry

Answer 27

thanks! i wouldn't have caught my mistake

Answer 28

NP. Love to help you/

Answer 29

i have one more if you would help..

Answer 30

Post is as new problem