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The value of a car is given by the function C = 40 000(0.91)t, where t is in years since 1 January 2023 and C is in USD($).(a) Write down the annual rate of depreciation of the car. [1](b) Find the value of the car on 1 January 2028. [2]Alvie wants to buy this car. On 1 January 2023, he invested $15 000 in an account that earns 3% annual interest compounded yearly. He makes no further deposits to, or withdrawals from, the account.Alvie wishes to buy this car for its value on 1 January 2028. In addition to the money in his account, he will need an extra $M.(c) Find the value of M.
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