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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?

Verified Answer :

HomertheGenius

y - current value of the car;
A - original cost;
t -time in years;
r - rate of depreciation;
r = 10% = 0.1
y = A ( 1 - r ) ^t
 1/2 A = A ( 1 - 0.1 ) ^t    / : A
  0.5 = 0.9 ^ t
   \(t = log_{0.9}0.5\)
  t = 6.5
  Answer:  The car is approximately 6.5 years old.

tealpatite13

Answer:

6.6 y/o

Step-by-step explanation:

correct on edg

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