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Differential EquationsMediumModels & Qualitative Behavior

Models & Qualitative Behavior · Medium problem

A cup of tea at 100∘100^\circC cools in a 20∘20^\circC room by Newton's law of cooling, T′=−k(T−20)T' = -k(T - 20). After 55 minutes it is 60∘60^\circC. What is its temperature after 1010 minutes? Express your answer as a common fraction or integer.