SOLUTION: A bicycle loses its value each month after it is purchased. It’s value as a function of time, in months, is modelled by V(m)=2200(0.98)^m. In which month after it is purchased do

Algebra ->  Rational-functions -> SOLUTION: A bicycle loses its value each month after it is purchased. It’s value as a function of time, in months, is modelled by V(m)=2200(0.98)^m. In which month after it is purchased do      Log On


   



Question 1139321: A bicycle loses its value each month after it is purchased. It’s value as a function of time, in months, is modelled by V(m)=2200(0.98)^m. In which month after it is purchased does the bicycles worth fall below $1,500?
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Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

V%28m%29=2200%280.98%29%5Em
if V%28m%29=1500, we have:
1500=2200%280.98%29%5Em
%280.98%29%5Em=1500%2F2200
%280.98%29%5Em=15%2F22
ln%28%280.98%29%5Em%29=ln%2815%2F22%29
m%2Aln%2898%2F100%29=ln%2815%2F22%29
m=ln%2815%2F22%29%2Fln%2898%2F100%29
m=%28-0.38299%29%2F%28-0.0202027%29
m=18.96 months => 18 full months
=> answer:18