Money over time

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If I invest $1000$ dollars, I make $10$% of that on day one. The next day I take the amount I had plus the profit, and invest it making $10$% of that. How can I calculate the amount it will be after $100$ days ? I know the formula for a 10 percent increase of static $1000$ dollars a day. $1000 * 1.1^{100}$ But that is not the formula I need.