Question

50 POINTS FOR CORRECT ANSWER @PlatoNation REPORTED IF INCORRECT

Answer 1

Answer:

About 2614 years.

Step-by-step explanation:

We are given k, and the information that N/N0 = 0.77, so the C-14 function becomes:

$N=N_0\cdot e^{-kt} \\0.77N_0 = N_0\cdot e^{-kt}\\0.77 = e^{-0.0001 t}$

and we can solve for t:

$0.77 = e^{-0.0001 t}\\\ln0.77 = \ln e^{-0.0001 t}\\\ln 0.77 = -0.0001 t\implies\\t = -\frac{\ln0.77}{0.0001}=2613.65\approx 2614\,\,\,\mbox{years}$

The estimated age of the bird skeleton is 2614 years.