Three hundred sixty five dollars ($365) are deposited to a retirement account every year for 20 years. The money will be withdrawn lump sum after 30 years. The annual interest rate is 6%/yr.
Calculate the total withdraw amounts for the following calculation methods. Assume each year has 365 days for all 20 years.
1. One dollar ($1) is deposit at the beginning of every day.
2. Three hundred sixty five dollars are deposit uniformly every year, and the deposit is continuous. (by integration).