One of the places all of us encounter exponential growth is in banking and finance: almost everyone has a savings account in a bank, and almost everyone needs a loan to make a large purchase at some time. When you put money in a bank, the bank does not stash it away in a safe (not for very long in any case). The bank usually lends it out. In exchange for letting the bank use your money, the bank pays you interest, a percentage of what you deposited paid at regular intervals. If you do not withdraw the money, you will earn interest on your interest, a process called compounding. Compounding is exponential. These questions the phenomenon of exponential growth in this context.

a. Suppose you invest $10,000. Make a table like the one below showing the value of this investment at 1%, 2%, 3%, ... interest assuming you do not withdraw anything for 25 years. (Include this spreadsheet when you submit your project.)