The value of a car is modelled using the formula V=17100e−0.2t+2000V = 17100e^{-0.2t} + 2000V=17100e−0.2t+2000
Find the initial value of the car.
Given the model predicts that the value of the car is decreasing at a rate of £1000 per year at the instant when t=Tt = Tt=T, (i) Show that 3420e−0.2T=10003420e^{-0.2T} = 10003420e−0.2T=1000 and (ii) find the age of the car at this instant, giving your answer in years and months to the nearest month.