A pan of boiling water with a temperature of 100C is set in a room with a

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A pan of boiling water with a temperature of 100°C is set in a room with a temperature of 20°C. The water cools to 50°C in 40 minutes. 

(a) Find values for T0, D, and a so that the formula T(t)= T0 Dat models the data, where t is in hours. 

(b) Find the temperature of the water after 90 minutes. 

(c) How long does it take the water to reach 30°C?

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