Many persons prepare for retirement by making monthly contributions to a savings program. Suppose that $2,000 is set aside each year and invested in a savings account that pays 8% interest per year, compounded continuously. a. Determine the accumulated savings in this account at the end of 22 years. b. In Part (a), suppose that an annuity will be withdrawn from savings that have been accumulated at the EOY 22. The annuity will extend from the EOY 23 to the EOY 31. What is the value of this annuity if the interest rate and compounding frequency in Part (a) do not change? Click the icon to view the interest and annuity table for continuous compounding when i= 8% per year. a. The accumulated savings amount at the end of 22 years will be $ (Round to the nearest dollar)