A potato with an initial temperature of 13 is placed in an oven at 200 and this reheats according to the following differential equation

dtdH= k(H 200)

where H(t) represents the temperature of the potato t minutes after being placed in the oven. After 20 minutes the temperature of the potato is 105C. What is the value of k rounded to 3 decimal places?

A.k 0.076 B.k 0.062 C.k 0.028 D.k 0.057 E.k 0.034 F.k 0.046 G.k 0.040 H.k 0.037