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The half-life of carbon-14 is 5,730 years. Assuming you start with 100% of carbon-14, what is the expression for the percent, P(t), of carbon-14 that remains in an organism that is t years old and what is the percent of carbon-14 remaining (rounded to the nearest whole percent) in an organism estimated to be 20,000 years old?

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Blitztiger
The general expression would be:
[tex]P(t) = (\frac{1}{2})^{ \frac{t}{5730} } [/tex]
In an organism that is 20,000 years old (t = 20000), we would expect:
[tex]P(t) = (\frac{1}{2} )^( \frac{20000}{5730} ) = 0.08898[/tex]
This menas there would be around 8.898% of carbon-14 remaining in the organism.

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