Final answer:
The fossil is approximately 5730 years old.
Step-by-step explanation:
To determine the age of the fossil, we can use the concept of half-life. The half-life of Carbon-14 is 5730 years, which means that after 5730 years, half of the Carbon-14 in a sample will have decayed. Since the fossil has 50% of the Carbon-14 compared to a living sample, we can conclude that it has gone through one half-life. Therefore, the fossil is approximately 5730 years old.