7. Suppose that you deposit $4000 into a savings account that pays 5.5% annual interest, (a) (5 points) what is the function f(t) that describes the future value of the account? (Hint: Use n to be a placeholder for the number of compounding terms per year, but fill in any other quantities that you know.) (b) (3 points) how much money will be in the account after 10 years if the interest is com- pounded monthly? (c) (3 points) how much money will be in the account after 10 years if the interest is com- pounded quarterly? (d) (3 points) how much money will be in the account after 10 years if the interest is com- pounded annually? (1 point) which of the above compounding schedules (monthly, quarterly, or annually) is the best option