SOLUTION: Jasmine buys a computer for $1200. The computer depreciates at a rate of 40% a year, compounded monthly. How much is the computer worth in 18 months? I know the formula for c

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Question 583266: Jasmine buys a computer for $1200. The computer depreciates at a rate of 40% a year, compounded monthly. How much is the computer worth in 18 months?
I know the formula for compounded monthly is A=P(1+r/n)^n*t
so I tried A=1200(.6/12)^(12*1.5) but the answer I got was wrong.
Thanks

Found 2 solutions by Alan3354, solver91311:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Jasmine buys a computer for $1200. The computer depreciates at a rate of 40% a year, compounded monthly. How much is the computer worth in 18 months?
I know the formula for compounded monthly is A=P(1+r/n)^n*t
so I tried A=1200(.6/12)^(12*1.5) but the answer I got was wrong.
----------------------------
It's value decreases 40%/year = 40%/12 = 01%/3 = 0.1/3 per month.
Each month, it's worth (1 - 0.1/3 = 2.9/3) of the month before.
Worth = 1200*(2.9/3)^18
=~ $651.87
-----------------
The term "compounded monthly" doesn't fit here. The problem is not well stated. It should have said it depreciates 40/12% per month.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You have to divide -0.40 by 12 first THEN add to 1 before you raise to the power:



So



and so on...

John

My calculator said it, I believe it, that settles it
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