SOLUTION: A business estimates that the value V(t) of office equipment is decreasing according to the function V(t)=13200(4)^-0.14t, where t represents the number of years that have elapsed

Question 614077: A business estimates that the value V(t) of office equipment is decreasing according to the function V(t)=13200(4)^-0.14t, where t represents the number of years that have elapsed since the equipment was purchased, and V(t) is in dollars. After how many years will the value of the equipment be $3300?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A business estimates that the value V(t) of office equipment is decreasing according to the function V(t)=13200(4)^-0.14t, where t represents the number of years that have elapsed since the equipment was purchased, and V(t) is in dollars. After how many years will the value of the equipment be $3300?
.
Given:

set V(t) t0 3300 and solve for t

take log base 4 of both sides:

answer: 7.35 years
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