Suppose you (magically?) have $5,000 to invest in an account which is paying out at 1.7% interest compounded monthly. Supposing you neither add nor subtract money from your account: a) Determine an exponential function describing how much money you have in the account with respect to time in years. b) Use the function to determine how much money you will have in your account after 5 years. c) How long will it take for you to have $6, 000? d) What is the 1-year effective interest rate?