Please help me answer the following questions #30, 31, 32, 33, 36

I'm going to provide some examples.

The formula for the exercises gonna be provided:

30. 31. 32. Ctkillllg. The temperature of a hot liquid is 100. The liquid is placed in a refrigerator where the tem- perature is 40\c) After how many years will the population of the Ukraine be 1, according to this model? 36. Atmospheric Pressure. Atmospheric pressure P at altitude a is given by P = Poe -0.00095a. where Po is the pressure at sea level. Assume that Po = 14.7 1b/in (pounds per square inch). a) Find the pressure at an altitude of 1000 ft. b) Find the pressure at an altitude of 20,000 ft. c) At what altitude is the pressure 1.47 Ib/in?? tw d) Find the rate of change of the pressure and in- terpret its meaning.15 Carbon Dating. How old is a piece of wood that has lost 90% of its carbon-14? 16. Carbon Dating How old is a skeleton that has lost 50% of its carbon-14? 17. Carbon Dating. How old is a Chinese artifact that has lost 60% of its carbon-14?20. Cancer Treatment. Iodine-125 is often used to treat cancer and has a half-life of 60.1 days. a) Suppose in a sample the amount of iodine-125 decreased by 25% while in storage. How long was that sample sitting on the shelf? b) Suppose that a sample of iodine-125 was on the shelf for 48 days. What percent of the iodine- 125 remains in the sample?Te = Pop-kt +C Po = To - C Po = constant To = initial temperature C= Surrounding temperature