An artifact was found and tested for its carbon-14 content. If 79% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? (Carbon-14 has a half-life of 5,730 years.)

The formula to calculate the percentage of C-14 is

P=(1/2)^(y/5730)

When p=79%

0.79=(1/2)^(y/5730)

y/5730=log(0.79)/log(1/2)=-0.102/-0.301

y/5730=0.34

y=5730*0.34~1900

So its probable age is 1900 years

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