You are looking for the value of so that . That means . Take the natural log of both sides and divide both sides by .
Jake boils water at home for a cup of tea. He takes his tea and sits down at his desk to study, where the temperature of the room is at 67 F. After how many minutes will the temperature of the tea reach 175 F. (Water boils at 212 F. Assume k = .0486) Use Newton's Law of Cooling and solve for t. Show your work.
This is all I've got and I'm stuck here:
T(t) = 67 + 145e^-.0486(t)
Can someone help me out and show me how to do this? THANKS!