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Required Lump$-$Sum Payment

To complete your last year in business school and then go through law school, you will need $$10,000$ per year for $4$ years, starting next year $($that is$,$ you will need to withdraw the first $$10,000$ one year from today$).$ Your uncle offers to put you through school, and he will deposit in a bank paying $9\%$ interest a sum of money that is sufficient to provide the four payments of $$10,000$ each. His deposit will be made today. Do not round intermediate calculations. Round your answers to the nearest cent. If your answer is zero, enter $"0".$

How large must the deposit be$?$

$

How much will be in the account immediately after you make the first withdrawal? After the last withdrawal?

After the first withdrawal: $

After the last withdrawal: $