Find the amount A in the account as a function of the term of the investment t in years.

Determine how much is in the account after 5 years, 10 years, 30 years and 35 years. Round your answers to the nearest cent.

Determine how long will it take for the initial investment to double. Round your answer to the nearest year.

Find and interpret the average rate of change of the amount in the account from the end of the fourth year to the end of the fifth year,and from the end of the thirty-fourth year to the end of the thirty-fifth year. Round your answer to two decimal places.

1. $500 is invested in an account which offers 0.75%, compounded continuously.