When interest is continually compounded, at any time the amount of money increases proportionally to the amount present a). Calculate the amount collected at the end of five years, when $ 5000 is deposited into a savings account that yields 5 ¾% annual interest compounded continuously. b) In how many years will the initial capital have doubled? Rta. 6665.45; approx 12.05 years.  Please explain answer step by step.

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