a. If an account has an APR of 100 r % compounded continuously, its annual growth factor is

b. Based on your answer to part (a), the accounts t -year growth factor must then be

c.Based on your answers to parts (a) and (b), what is the account value after t years if P dollars is initially invested in the account?

d.Therefore, the function A that models the account's value after t years if interest is compounded continuously is (use the same parameter letters defined above):