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A college account was established for a child when she was 10 years old. A deposit of $400 was made twice a year in an investment that paid 8% interest compounded semiannually. When the child was 18 years old the deposits were stopped, but she decided not to go to college until the following year. The fund remained untouched at the same interest rate for an additional year.

How much did she have when she started college?

Please show your step by step solution.

Thank you.