Answer:
3396.53 years
Step-by-step explanation:
Using decay formula
In(
) = -Kt where t is the age of the artifact in years and k is the decay constant
T1/2 =
![(In2)/(K)](https://img.qammunity.org/2020/formulas/physics/college/p2yg3myy44g5g05wrv4cq041s0sb5vhevd.png)
5730 =
![(In2)/(K)](https://img.qammunity.org/2020/formulas/physics/college/p2yg3myy44g5g05wrv4cq041s0sb5vhevd.png)
K = In 2 / 5730= 0.000121yr^-1
N / No = 0.663
In (0.663) / -0.000121 = t
t = 3396.53 years