Albert buys a car for $12,000. the value of the car depreciates about 9% per year. after about how many years will the car be worth $7500?

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

where  

D is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

t  is Number of Time Periods  

in this problem we have  

substitute in the formula above and solve for t

Apply log both sides

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).