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2. [Maximum mark: 6] A sum of $3000 is invested at a compound interest rate of 4.6% per year. (a) Find the value of the

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2. [Maximum mark: 6] A sum of $3000 is invested at a compound interest rate of 4.6% per year. (a) Find the value of the investment at the end of seven years. [3] (b) The value of the investment will exceed $5000 after x full years, Calculate the minimum value of x. [3]

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