Share

## 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

in progress
0

Math
2 weeks
2021-09-10T13:01:46+00:00
2021-09-10T13:01:46+00:00 2 Answers
0
## Answers ( )

Answer: A) 1.7 YearsStep-by-step explanation:Answer:A. 1.7 yearsStep-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.