Many persons prepare for retirement by making monthly contributions to a savings program. Suppose that ​$2,600 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 23 years. b. In Part​ (a), suppose that an annuity will be withdrawn from savings that have been accumulated at the EOY 23. The annuity will extend from the EOY 24 to the EOY 32. What is the value of this annuity if the interest rate and compounding frequency in Part​ (a) do not​ change?

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