work for answers

5. The element Unobtainium has a halflife of 3 years. Let M (t) be the mass of Unobtainium at time t starting with an initial amount of 14 kg. (a) Give a formula for MOE). (b) After how many years will the initial mass of Unobtainium shrink to 1 kg? Round your answer to one digit after the decimal point. 6. Starbucks serves coffee at 170 and the room temperature in Starbucks is 70\". The coffee cools to 100\" after 10 minutes. Let T(t) be the temperature of the coffee at time t, measured in minutes. (a) Write down the differential equation for T(t) and determine a formula for T(t). (b) Rom the time when the temperature is 100\" at t = 10, how many additionaiminute; will it take for the temperature of the coffee to reach 80"? Round your answer to one digit after the decimal point