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Betty invests $4,000 at 10% per annum compounded semiannually. Bob invests $10,000 at 7% per annum continuously compounded. Algebraically find how many years it will

Betty invests $4,000 at 10% per annum compounded semiannually. Bob invests $10,000 at 7% per annum continuously compounded. Algebraically find how many years it will take for their accounts to be of equal value. What is this account value? Your final answer should be correct to 3 places after the decimal point.

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