Question

in 2016, you purchased a new car for $20,000. The value of the car depreciates at a rate of 18% per year. The value V of the car after t years is given by the function V(t)=20000(0.82)t. When will the car be worth three-quarters of its original value?

Answer 1

V = Vi (0.82)^t not times t

.75 = .82^t
log .75 = t log .82
t = log.75 / log.82 = 1.45 years