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 years
2.0 years
3.1 years
5.0 years

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 years
2.0 years
3.1 years
5.0 years

misty1212 · Answer

HI again!!

misty1212 · Answer

gotta find the years for each right?

anonymous · Answer

Originally I just figured 15% is one year so 2 2/3 years for first and 4 years for second

misty1212 · Answer

first one, solve 
$$.9^t=.6$$ second one solve 
$$.85^t=.6$$ you will get the age for each

misty1212 · Answer

don't be "figuring" exponential s don't figure that easily!

anonymous · Answer

I got 5 for the first one and 3 for the second

misty1212 · Answer

ok then i guess 2 is the answer 
i didn't do it, you want me to check, or are you confident?

anonymous · Answer

I'm confident, your equations are so much easier

misty1212 · Answer

no scratch that, it is 5

anonymous · Answer

oh ok you scared me for a sec

misty1212 · Answer

yeah 5 and 3

misty1212 · Answer

are you supposed to be doing that 
$$e^{kt}$$ business?

anonymous · Answer

I'm not sure honestly lol

misty1212 · Answer

ok then nvm
$$\color\magenta\heartsuit$$

anonymous · Answer

thanks