Lucy invested $\$10,000$ in a new mutual fund account exactly three years ago. The value of the account increased by $10$ percent during the first year,increased by $5$ percent during the second year, and decreased by $10$ percent during the third year. What is the value of the account today?

Calculate the value of the account for each year using the percentage changes sequentially. For the first year, the value becomes 10000 * 1.10 = 11000; for the second year, it becomes 11000 * 1.05 = 11550. For the third year, apply the 10 percent decrease to get the final value of 11550 * 0.90 = 10395. The value of the account today is $10,395.

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