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MAT 112. Problems of Growth and Decay. Carbon-14 Dating. Carbon 14, also known as a radiocarbon, is a radioactive form of carbon that is found in all living plants and animals. After the plant or animal dies, the radiocarbon disintegrates. The amount of substance remaining after t years is:.

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mat 112

MAT 112

Problems of Growth and Decay

carbon 14 dating
Carbon-14 Dating
  • Carbon 14, also known as a radiocarbon, is a radioactive form of carbon that is found in all living plants and animals. After the plant or animal dies, the radiocarbon disintegrates. The amount of substance remaining after t years is:
carbon 14 problem
Carbon-14 Problem
  • Find the half-life.
  • Suppose an Egyptian mummy is discovered in which the amount of C-14 present is only about 1/3 of the amount in living human beings. About how long ago did the Egyptian die?
  • A sample of a refuse deposit near the Strait of Magellan had 60% of the C-14 of a contemporary living sample. How old is the sample?
newton s law of cooling
Newton’s Law of Cooling
  • A pie comes out of the oven with a core temperature of 450 degrees farenheit into a room that is 75 degrees farenheit. What would the value of C be?
i m getting hungry
I’m getting hungry!
  • If the pie cooling in the 75 degree room is 300 degrees after 15 minutes, what would be the value of k? (remember that t should be measured in hours!)
i want pie
I want Pie!!!
  • If the human mouth can handle temperatures of 130 degrees or less without burning, how long should we let the pie cool before attempting to eat it?
a new problem
A new problem
  • If I invest $60,000.00 in a bank that offers 6.75% interest compounded continuously, how long will it take for my money to grow into $80,000.00?
interesting interest
Interesting Interest
  • How long will it take my $60,000.00 to grow to $80,000.00 if I place it in an account with 7% interest compounded quarterly?