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Differential EquationsMediumModels & Qualitative Behavior

Models & Qualitative Behavior · Medium problem

A cup of tea at 70∘70^\circC cools in a 25∘25^\circC room by Newton's law of cooling, T′=−k(T−25)T' = -k(T - 25). After 2020 minutes it is 952∘\frac{95}{2}^\circC. What is its temperature after 6060 minutes? Express your answer as a common fraction or integer.