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3. (20 points) Moke plans on retiring in 100 years. So she opens a retirement fund today, which credits interest at an annual effective rate

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3. (20 points) Moke plans on retiring in 100 years. So she opens a retirement fund today, which credits interest at an annual effective rate of 7%. She then makes 100 end of year deposits. The first is X, and each deposit is X greater than the previous deposit. Starting one year after retirement, Moke will make end of year withdrawals of 1,000,000 forever. What is the smallest value of X to make her retirement plan carry out successfully

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