742
Chapter 6 | Applications of Integration
10 = 100 e −(ln 2/5730) t 1 10 = e −(ln 2/5730) t t ≈ 19035.
The artifact is about 19,000 years old.
6.46 Ifwehave 100 gof carbon-14, how much is left after t years? If an artifact that originally contained 100 g of carbon now contains 20 g of carbon, how old is it? Round the answer to the nearest hundred years.
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