Anew car is purchased for 23900 dollars. the value of the car depreciates at 9.75% per year. to the nearest year, how long will it be until the value of the car is 7700 dollars?

11 years

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

substitute in the formula

Apply log both sides

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50