Starting three years from today, you make equal annual deposits of $5,000 into an account which offers 12 percent compounded semiannually. (a) How many years from today will it take for your balance to reach exactly $220,606.2574?  (b) How many years from today will it take for your balance to reach exactly $233,842.6328?  (c) How many years from today will it take for your balance to reach exactly $247,873.1908?  [Hint: With semiannual compounding, each of these questions has an exact answer.] Step by step please, as if writing on a sheet of paper and taking notea.

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