A car depreciates at a rate of 15% of its value annually. Carl purchased a new car for $25,000 and wants to know how many years it will take until the car is worth a specific amount. a) Formulate a logarithmic function that would find the number of years t it will take for the car to be worth x dollars.

Then

b) How many years will Carl have until the new car is worth about $5000?

the answer is 8/21

hope this

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)