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An archaeologist locates a fossil of an early human skeleton. To determine the age of the fossil, the archaeologist utilizes a technique
called carbon dating, where the relative amount of carbon-14 can help determine the age of the fossil. Carbon-14 has a half-life of
about 5700 years.
He finds that the fossil contains 15% of the amount of carbon-14 anticipated when compared to a living femur of the same size.
The decay of carbon-14 can be calculated as shown below, where No is original amount of carbon-14,t is the time of decay, in years,
represents the rate of decay, and N(t) represents the amount of carbon-14 remaining.
N(t) = Nort
Rounded to the nearest year, the skeleton is approximately

years old.