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?

1.7 ears
2.0 years
3.1 years
or 5.0 years
log<sub>0.90</sub>0.6 - log<sub>0.85</sub>0.6 = 1.7

or, since you probably don't have a button for log<sub>0.9</sub>x,

log(0.6)/log(0.9) - log(0.6)/log(0.85)
or even
log(0.6)(1/log(0.9)-1/log(0.85))
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?

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