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Question 1 (a) Consider the amount function A(t)=100+5t, 120. Find (i) iz and (ii) 110- [4 marks] (b) Fund X earns interest at a simple rate of 4% a year. Fund Y earns interest at a simple rate of 100i% a year. $10,000 is invested in Fund X and $11,850 is invested in Fund Y. The accumulated amount in the two funds will be equal after 5 years. Find the simple rate of interest, i. [6 marks) (c) At a certain rate of simple interest i, 1000 will accumulate to 1100 after a certain period of time t. Find the accumulated value of 500 at a rate of simple interest 0.75i after a period of time 2t. [6 marks] (d) Simple interest of i = 4% is being credited to a fund. In which period is this equivalent to an effective rate of 2.5%? [4 marks]