Five thousand dollars is deposited into a savings account at 7.5% 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 9 years.

D. when will the balance reach $7000

E. How fast is the balance growing when it reach $ 7000

Pleas show all work and write answers clearly