Answer:
The organism died 35900 years ago
Explanation:
- Half life C-14 is 5730 years.
- For decay of radioactive nuclides: [tex]\frac{N}{N_{0}}=(\frac{1}{2})^{\frac{t}{t_{\frac{1}{2}}}}[/tex]
- [tex]\frac{N}{N_{0}}[/tex] is the fraction of radioactive nuclide remain present after t time and [tex]t_{\frac{1}{2}}[/tex] is the half-life of radioactive nuclide
- Here [tex]\frac{N}{N_{0}}[/tex] is 0.013 and [tex]t_{\frac{1}{2}}[/tex] is 5730 yeras
Plug-in all the values in the above equation:
[tex]0.013=(\frac{1}{2})^{\frac{t}{5730years}}[/tex]
So, t = 35900 years
Hence the organism died 35900 years ago
