Solve the problem.
-An artifact is discovered at a certain site. If it has $65 \%$ of the carbon-14 it originally contained, what is the approximate age of the artifact to the nearest year? (carbon-14 decays at the rate of $0.0125 \%$ annually.)
A) 5200 years
B) 1497 years
C) 2800 years
D) 3446 years

Question

Quizplus · Accepted Answer

The decay of carbon-14 can be modeled using the formula $ N(t) = N_0 e^{-kt} $, where $ N(t) $ is the remaining amount of carbon-14, $ N_0 $ is the initial amount, $ k $ is the decay constant, and $ t $ is time. Given $ N(t)/N_0 = 0.65 $ and $ k = 0.000125 $, solving for $ t $ gives approximately 3446 years.

Solve the Problem 65%65 \%65% Of the Carbon-14 It Originally Contained, What Is the Approximate

Solve the Problem $65 \%$ Of the Carbon-14 It Originally Contained, What Is the Approximate