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Mack Aroni, a bank robber, is worried about his retirement. He decides to start a savings account.

Mack Aroni, a bank robber, is worried about his retirement. He decides to start a savings account. Mack deposits annually his net share of the "loot," which consists of $75,000 per year, for 3 years beginning January 1, 2000. Mack is arrested on January 4, 2002, (after making his third deposit) and spends the rest of 2002 and most of 2003 in jail. He escapes in September of 2003. He resumes his savings plan with semiannual deposits of $30,000, the first one being made on January 1, 2004. Assume that the bank's interest rate was 9% compounded annually from January 1, 2000 through January 1, 2003, and 12 % annual rate compounded semiannually thereafter.

When Mack retires on January 1, 2007 (6 months after his last deposit), what is the balance in his savings account?

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