Question

A motorcycle cost $12,000 when it was purchased. The value of a motorcycle decreases by 6% each year. Find the rate of decay each month and select the correct answer below.

−0.005143%
−0.5143%
−0.005%
−0.5%

Answer 1

i medal and fan I need help with two questions

Answer 2

12,000 doesnt matter.
Since they are asking for each year that means divide by 12.
They already give you a rate for decay they just want a conversion.
So take 6% and convert it into decimal form by dividing it by 100
\[\frac{ 6 }{ 100 } = .06\]
Now since it is per month divide by 12
\[\frac{ .06 }{ 12 } = .005\]
Now since all the answers are in percentages multiply .005 by 100 to put it into that form.
\[\left( .005 \right)\left( 100 \right) = .5 percent\]