## 11 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 βax If the car was $50000 when new and was worth $38000 after 2 years, find the values of A and a , correct to 3 decimal places. Use this model to predict the value of the car (a) when the car is 5 years old (b) in the long run

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