20. At the time an item was produced, 0.01 of the carbon it contained was carbon-14, a radioisotope with a half-life of about 5745 yr. a) You examine the item and discover that only 0.0001 of the carbon is carbon-14. How old is the object? (This process of determining the age of an object from

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In all the following problems, assume exponential growth from continuous compounding.

20. At the time an item was produced, 0.01 of the carbon it contained was carbon-14,
a radioisotope with a half-life of about 5745 yr.
a) You examine the item and discover that only 0.0001 of the carbon is carbon-14.
How old is the object? (This process of determining the age of an object from
the amount of carbon-14 it contains is known as carbon-14 dating.)
Transcribed Image Text:20. At the time an item was produced, 0.01 of the carbon it contained was carbon-14, a radioisotope with a half-life of about 5745 yr. a) You examine the item and discover that only 0.0001 of the carbon is carbon-14. How old is the object? (This process of determining the age of an object from the amount of carbon-14 it contains is known as carbon-14 dating.)
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