The initial cost of buying a car is 6000. Over the years, its value depreciates and its

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The initial cost of buying a car is £6000. Over the years, its value depreciates and its running costs increase, as shown in the table below.

1 2 2 3 4 5 6 t Value after t years Running cost in year t 600 900 1200 1500 1800 2100 4090 2880 2030 1430

Draw up a table showing 

(a) The cumulative running cost after t years,

(b) The total cost (that is, running cost plus depreciation) after t years 

(c) The average cost per year over t years. Estimate the optimal time to replace the car.

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