Answer:
After 17,190 years, the amount of carbon-14 left would be approximately 5 mg.
The half-life of carbon-14 is 5,730 years, which means that every 5,730 years, half of the remaining carbon-14 decays. To calculate the amount of carbon-14 remaining after 17,190 years, we can use the formula:
A = A0 * (1/2)^(t/T)
where:
A0 is the initial amount (80 mg)
t is the time elapsed (17,190 years)
T is the half-life (5,730 years)
A = 80 * (1/2)^(17,190/5,730)
A = 80 * (1/2)^3
A = 80 * (1/8)
A = 10 mg * 1/2
A = 5 mg