Question 1077601: you buy computer for$ 150. the computers value decreased by 12.5 % each year.
write an exponential function for the value of the computer ?
to the nearst tenth of a year when the computer be worth $600?
to the nearst con, how much will the computer be worth in 10 years?
Answer by themasterofcircuits(27)   (Show Source):
You can put this solution on YOUR website! V=V_0*e^(-k*t)
Where V_0 is the initial value of the computer, k is the depreciation constant, and t is the number of years.
In this case, V_0 is $150 and k is 12.5% or 0.125
so [V=150*exp(-0.125*t)]
The max value of V is $150, so the computer will only go down in price as the years go down, so the value of the computer will [NEVER] reach $600.
In 10 years: V(10)=150*exp(-0.125*10)= [$42.97]
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