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 = A e -ax If the car was $50 000 when new and was worth $38 000...

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 = A e -ax If the car was $50 000 when new and was worth $38 000 after 2 years, fi nd the values of A and a , correct to 3 decimal places. Use this model to predict the value of the car