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John makes an investment to a bank with a continuously compounded interest rate. a. Find the value of the investment after t years. b. How

John makes an investment to a bank with a continuously compounded interest rate.

a. Find the value of the investment after t years.

b. How much would the interest rate be if after 5 years he will have twice what he invested?

c. If John invests $1200, in how much time will he have a value of $1400, if the interest rate is 5%?

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