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Part $1$

You are saving for retirement. To live$$ comfortably, you decide you will need to save $$$$2$ comma $000$ comma $000$ by the time you are $67.$ Today is your $25$th $$birthday$,$ and you$$ decide, starting today and continuing on every birthday up to and including your $67$th $$birthday$,$ that you will put the same amount into a savings account. If the interest rate is $11\%,$ how much must you set aside each year to make sure that you will have $$$$2$ comma $000$ comma $000$ in the account on your $67$th $$birthday$?$