An object with initial temperature 20∘C is placed in an oven at time t=0. For the first 5 minutes its temperature T(t) satisfies dtdT=0.1T. After t=5 minutes the oven is turned off, and for t≥5 the object cools so that dtdT=−0.05T. What is T(8), the temperature in degrees Celsius after 8 minutes?
a) Approximately 44.5
b) Approximately 24.4
c) Approximately 28.4
d) Approximately 38.3