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PrecalculusSuperchallengeExponential and Logarithmic Functions

Exponential and Logarithmic Functions · Superchallenge problem

A cup of tea cools according to Newton's law of cooling, T(t)=R+Ae−ktT(t)=R+Ae^{-kt}, where RR is the (constant) room temperature. The room temperature is not known. The tea measures 92∘92^\circC at t=0t=0, 56∘56^\circC at t=10t=10 minutes, and 38∘38^\circC at t=20t=20 minutes. Find RR in degrees Celsius.