The value of a second-hand car reduces exponentially with age, so that its value $y after t years can be modelled by the formula y = Ae^−ax
If the car was worth $50 000 when new and $38 000 after two years, find the values of A and a, correct to three decimal places.
Use this model to predict the value of the car

(a) when the car is five years old;
(b) in the long run.