Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10%. The

Question

Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of
10%. The second car depreciates at an annual rate of 15%. What is the approximate difference in the ages of the two cars?
A. 1.7 years
B. 2.0 years
C. 3.1 years
D. 5.0 years​

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2 weeks 2021-09-10T13:01:46+00:00 2 Answers 0

Step-by-step explanation:

A. 1.7 years

Step-by-step explanation:

Let be the original value of first car,

Since, the car depreciates at an annual rate of  10%,

Let after years the value of car is depreciated to 60%,

That is,

Taking ln on both sides,

Now, let is the original value of second car,

Since, the car depreciates at an annual rate of 15%

Suppose after years it is depreciated to 60%,

Taking ln on both sides,

Hence, the approximate difference in the ages of the two cars is 1.7 years,

Option ‘A’ is correct.