Q:

Manny Brought a brand new car in 2012 for $28750. if the car depreciates by 12% each year, write n exponential function to model the situation, then find the value of the car in 2018

Accepted Solution

A:
The formula for exponential decay is 
[tex]y=a(1-r)^{x} [/tex]

where  a is the initial value (28750)
r is the rate of decrease (0.12)
x is the time, in this case in years (6 .  2018-2012 = 6 years)

[tex]y=28750(1-0.12)^{6} [/tex]

y ≈ 13351.62