MAT 112

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# MAT 112 - PowerPoint PPT Presentation

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

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:
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
• 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!
• 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!!!
• 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
• 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
• 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?