# A cup of coffee at 90^\circ C is put into

A cup of coffee at ${90}^{\circ }$ C is put into a ${20}^{\circ }$ C room when t=0. The coffe's temperature is changing at a rate of $r\left(t\right)=-7{e}^{-0.1{t}^{\circ }}$ C per minute, with t in minutes. Estimate the coffee's temperature when t=10
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