Answer:
The approximate age of the bone is approximately 11552 years.
Step-by-step explanation:
The current proportion of carbon-14 with respect to its original amount is defined by following formula:
[tex]\frac{y}{a} = e^{-0.00012\cdot t}[/tex] (1)
Where:
[tex]y[/tex] - Current amount of carbon-14, no unit.
[tex]a[/tex] - Initial amount of carbon-14, no unit.
[tex]t[/tex] - Time, in years.
If we know that [tex]\frac{y}{a} = 0.25[/tex], then the approximate age of the bone is:
[tex]t = -8333.333\cdot \ln \frac{y}{a}[/tex]
[tex]t\approx 11552.453\,yr[/tex]
The approximate age of the bone is approximately 11552 years.
