An equation for the depreciation of a car is given by y = A(1 – r)t , where y = current value of the car, A = original cost, r = rate of depreciation, and t = time, in years. The value of a car is half what it originally cost. The rate of depreciation is 10%. Approximately how old is the car?

asked by Lina

9 years ago

2,590 views

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1

1 answer

just solve for t in

(1-0.10)^t = 0.5
.9^t = .5
t = log 0.5 / log 0.9

answered by Steve

1

1

Question

An equation for the depreciation of a car is given by y = A(1 – r)t , where y = current value of the car, A = original cost, r = rate of depreciation, and t = time, in years. The value of a car is half what it originally cost. The rate of depreciation is 10%. Approximately how old is the car?

1 answer

just solve for t in

(1-0.10)^t = 0.5
.9^t = .5
t = log 0.5 / log 0.9

Steve · Answer

just solve for t in (1-0.10)^t = 0.5 .9^t = .5 t = log 0.5 / log 0.9