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(I) represents the amount of carbon-14 remaining.

N(t) = Noert

Rounded to the nearest year, the skeleton is approximately___ years old.