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6. $3,000.00 is deposited into a saving account that earns 1.5% interest compounded continuously. a. What is the formula for A(t), the balance after 7 years? b. What differential equation is satisfied by A(t), the balance after t years? c. How much money will be in the account after 10 years? d. When will the balance reach $5,000.00? e. How fast is the balance growing when it reaches $5,000.00?

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