4. Nicky starts a retirement account at age 31, putting away $200 each pay period, of which she has 26 per year. However, as her salary increases, she finds she is able to increase contributions at a continuous rate of 2%, modeled by f(t)=5200e0. If her savings grow at 6.5% continuously, find the amount of money Nicky will have at age 65. Use the appropriate formula, set it up and evaluate with all work shown. Round to the nearest $1.

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