Posted by Jane on Saturday, April 21, 2012 at 7:07pm.
The value of a $20,000 car decreases every, t. The equation below model this situation.
20,000(10.04t) = 13,000
How many years will the car be worth $13,000? Round to the nearest tenth if necessary.
I got 20,000(.96t)= 13,000, but I don't believe gives me the correct answer. Help!

typo  Damon, Saturday, April 21, 2012 at 8:26pm
this does not make sense:
" decreases every, t "
did it say it decreased 4% per year?
that would mean
.96^n =13/20
.96^n = .65
n log .96 = log .65
n = .187/.0177
= 10.6 years

math  Jane, Saturday, April 21, 2012 at 9:38pm
I understand most of the explanation except the part below:
n log .96 = log .65
n = .187/.0177
Could you please explain? Thanks
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