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Eight months from today you plan to deposit $20,000 into an account with an APR of...

Eight months from today you plan to deposit $20,000 into an account with an APR of 5.5% per year with quarterly compounding. In addition, eleven months from today, you plan to make the first of a series of semiannual deposits into the same account. Your first deposit will equal $4000 and subsequent deposits will grow by 0.5% each. You will make your final deposit five years and five months from today. How much will be in your account six years from today if you make no withdrawals before then?
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