You are 45 years old and want to start saving for your retirement.
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a.    You are 45 years old and want to start saving for your retirement.  Suppose you open an account today

with a $10,000 cash deposit and then invest $2,000 at the end of each year for the next 20 years at an annual rate of 10% compounded annually.    How much money will you have in the account at the end of 20 years?  

b.    One year after your last deposit is made in part (a) you begin withdrawing money from the account. You make equal withdrawals ($X) at the end of each year for a total of 15 years.  What is the maximum value of the annual withdrawal ($X) if the annual interest rate is 10%?  

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