Solve the problem.
-Radioactive carbon-14 has a continuous compound rate of decay of r = -0.000124.Estimate the age of a skull uncovered at an archaeological site if 6% of the original amount of carbon-14 is still present.(Compute answer to the nearest year.)
A)22,689 yr
B)470 yr
C)124,027 yr
D)20,032 yr

Question

Quizplus · Accepted Answer

The formula for continuous compound decay is N(t) = N0 * e^(rt). Given that 6% of the original amount is present, we have 0.06 = e^(-0.000124t). Solving for t gives approximately 22,689 years.

Solve the Problem. -Radioactive Carbon-14 Has a Continuous Compound Rate of Decay of of Decay