Show all work. Label and clearly explain your answer. This is very important. 1) You must explain how you arrived at your answer in order to get full credit 2) If you do show your work, and your answer is wrong you can still earn a substantial amount of credit depending on how serious the error is. 3) If your answer is wrong, and you don't show your work, you will get a zero. On January 1st 2040, Dr. HG Peabody Sherman discovers a time machine, and decides to use it to earn some spare cash. He decides to take the machine for a spin, and he visits several pivotal dates in American History: The Louisiana Purchase in 1803 The Emancipation Proclamation in 1863 Pearl Harbor in 1941 The Apollo Moon Landing in 1969 During each of these visits, Dr. Shermar deposits $1 in a bank account (suppose that each deposit was made on Jan 1st of the stated year). Further suppose the accounts pay an interest rate of 5% per year. How much money will be in Dr. Sherman's account when he returns to January 1, 2040