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Bruce makes an opening deposit of 5000 into a fund which earns interest at an annual effective interest rate of i for the first five

Bruce makes an opening deposit of 5000 into a fund which earns interest at an annual effective interest rate of i for the first five years and j thereafter. By the end of 10 years, the fund has accumulated to 10277.32110. If the annual effective had been j throughout the entire 10 year period, the fund would have accumulated to 12968.7123. Find the accumulated amount of the fund assuming the annual effective rate is i throughout the entire 10 year period. Show all work.

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