The half-life of carbon-14 is 5730 years. Find the amount of carbon-14 remaining after 10,000 years if q₀ = 40.0 g.

In use the fact that the quantity of a radioactive substance after t years is given by q = q₀(2^-t/k), where q₀ is the original amount of radioactive material and k is its half-life (the number of years it takes for half the radioactive substance to decay).