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

A) 1.7 Years

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.

1/800 is the right answer