Growth or Decay? Increase

Growth or Decay? Depreciate

Growth or Decay? Half-Life

Growth or Decay? The population of HomeTown is 2016 was estimated to be 35,000 people with an annual rate of increase of 2.4%.

Growth or Decay? Newtons Law of Cooling states that the rate of cooling of an object is

proportional to the temperature difference between the object and its surroundings.

A roast turkey is taken from the oven when tis temperature has reached 185 F

and is placed on a table in a room where the temperature is 75 F.

Growth or Decay? We are given an equation relating the rate at which electricity is draining from a capacitor and the passage of time. We need to a) solve for V and then b) find how long it will take for the voltage to drop to 10% of its original value.

Growth or Decay? A biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts one hundred bacteria into what he has determined to be a favorable environment. Six hours later, he measures 450 bacteria.

Growth or Decay? Carbon-14 has a half-life of 5730 years. You are presented with a document which purports to contain the recollections of a Mycenaean soldier during the Trojan War. The city of Troy was finally destroyed in about 1250 BC, or about 3250 years ago. Carbon-dating evaluates the ratio of radioactive carbon-14 to stable carbon-12. Given the amount of carbon-12 contained a measured sample cut from the document, there would have been about 1.3 × 10–12 grams of carbon-14 in the sample when the parchment was new, assuming the proposed age is correct. According to your equipment, there remains 1.0 × 10–12 grams. Is there a possibility that this is a genuine document? Or is this instead a recent forgery? Justify your conclusions.

Growth or Decay? A certain type of bacteria, doubles in population every 6.5 hours. Given that there were approximately 100 bacteria to start with, how many bacteria will there be in a day and a half?

Growth or Decay? Radio-isotopes of different elements have different half-lives. Magnesium-27has a half-life of 9.45 minutes. What is the constant for Magnesium-27? Round to five decimal places.

Growth or Decay? A strain of bacteria growing on your desktop doubles every 5 minutes. Assuming that you start with only one bacterium, how many bacteria could be present at the end of 96 minutes?

Growth or Decay? Some people are frightened of certain medical tests because the tests involve the injection of radioactive materials. A hepatobiliary scan of my gallbladder involved an injection of 0.5 cc's (or about one-tenth of a teaspoon) of Technetium-99m, which has a half-life of almost exactly 6 hours. While undergoing the test, I heard the technician telling somebody on the phone that "in twenty-four hours, you'll be down to background radiation levels." Figure out just how much radioactive material remained from my gallbladder scan after twenty-four hours.

Growth or Decay? A patient is given a 300 mg dose of medicine that degrades by 25% every hour. What is the remaining drug concentration after a day?

If y = a(B)^x is a decay then...