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An amount of money is deposited in a savings account with interest compounded continuously. Let A(t) be the balance in the account after t years.

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An amount of money is deposited in a savings account with interest compounded continuously. Let A(t) be the balance in the account after t years. Answer each of the following: (a) How fast will the balance be growing in 3 years? (b) Give the general form of the function A(t). (c) How long will it take for the initial deposit to triple? (d) Find the balance after 3 years. (c) When will the balance be 3 dollars

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