(b) Tara's aunt invests $2000 for her when she is born. The interest rate is 3.5% per year. This rate does not change as long as the money stays invested. The interest is added to the amount she has invested on her birthday each year. The value of the investment after years can be modelled by the equation A = 2000 ×(1.035)' where the A is the value of the investment. (1) How long would it take for the value of the investment to be $2250? (ii) Tara reaches her 18th birthday. Calculate how much extra the investment will be worth if she leaves the money invested for another 3 years beyond her 18th birthday. (iii) Tara is calculating 2000 x 1.035™ (1.035"-1) With reference to the investment, explain what Tara is calculating.

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