You receive $4,000 from your aunt when you turn 21 and you immediately invest the money in a saving account. The account earns 12% annual rate, with continuous compounding. You get your first job after 5 years. You want to retire from work in 20 years. If you deposit $100 into your account every month for the first 10 years, and $200 every month for the next 10, how much will you have after 20 years?

Assume you continue to earn 12% annual rate with continuous compounding.