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?