exponential functions

. A student deposited money into a savings account. The following equation models the amount of money in the account, A(t), after t years. A(z) = 1575(1.045) State the initial amount of money deposited into the account. (1 mark) b. Determine the annual interest rate being paid on the account. (1 mark) c. Use the equation to find the amount of money, to the nearest dollar, in the account after 15 years. Show your substitution and calculations. (1 mark) d. How many years, to the nearest whole year, will it take for the account to have at least $4000? Show work, or describe how this was found on your calculator. (2 marks)