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Suppose you plan to retire at age 70, and you want to be able to withdraw an amount of $65,000 per year on each birthday from age 70 to age 100 (a total of 31 withdrawals). If the account which contains savings earns 5.5% per year simple interest, how much money needs to be in the account by the time you your 70th birthday? (Answer to the nearest dollar.)

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