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Suppose you plan to retire at age 70, and you want to be able to withdraw an amount of $6,000 per month beginning with the

Suppose you plan to retire at age 70, and you want to be able to withdraw an amount of $6,000 per month beginning with the first month after your 70th birthday until you reach your birthday at age 100. If the account which contains your savings earns 7% APR compounded monthly, how much money needs to be in the account by the time you reach your 70th birthday? (Answer to the nearest dollar.)

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