Investing when the interest on an investment is compounded, Mathematics

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Investing when the interest on an investment is compounded

Question: Investing when the interest on an investment is compounded continuously, the investment grows at a rate that is proportional to the amount in the account. If $20,000 is invested (when t = 0) and the amount in the account after 22 years is $280,264, find the function that gives the value of the investment as a function of t. What is the interest rate on this investment?

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Mathematics: Investing when the interest on an investment is compounded

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