Given data
*The carbon-14 has a half-life is t = 5730 years
*The amount of quantity contained is n = 70 mg
*The given time is T = 17190 years
The expression for the radioactivity decay equation is given as
[tex]N=n(0.5)^{\frac{T}{t}}[/tex]Substitute the values in the above expression as
[tex]\begin{gathered} N=70(0.5)^{\frac{17190}{5730}} \\ =8.75\text{ mg} \end{gathered}[/tex]