Newton's law of cooling states that the temperature T of a body, initially at temperature t0 placed in a surrounding medium at a lower temperature ,tm is given by t=tm+(to+tm)e^-kt If a cup of coffee, at temperature 160 at 7 AM, is brought outside into air at 40 , and cools to 140 by 7:05 AM,

a. find its temperature at 7:10 AM. Round to the nearest degree.

b. at what time will the temperature have fallen to 100?