Suppose you are shopping around for college funds for your children. You have $2000 to invest and want to find the most profitable interest rate and compounding frequency. Your banker gives you the following account options. Determine which bank account will be the most profitable after letting the bank account accrue interest for 16 years. Be sure to show the function for each scenario then calculate the balance using your calculator.

a) 2.65%, compounds monthly

b) 1.85%, compounded weekly

c) 3.15%, compounds annually

d) 2.85%, compounds quarterly