please help me step by step so I get this down on homework and understand before my test

Two thousand dollars is deposited into a savings account at 4.5% interest compounded continuously. (a) What is the formula for A(t), the balance after t 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 3 years? (d) When will the balance reach $4000? (e) How fast is the balance growing when it reaches $4000