Question: 6. Two funds are started with equal deposits at time t = 0. Fund X is credited with simple interest at an annual rate of

6. Two funds are started with equal deposits at time t

6. Two funds are started with equal deposits at time t = 0. Fund X is credited with simple interest at an annual rate of 3%. Fund Y is credited with force of interest of 2.9%. Let Ax (t) and Ay (t) be the amounts in funds X and Y at time t, respectively. Find the value for t at which Ax (t) Ay (t) is maximized. Be sure to justify why the value you found is an absolute maximum

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