000$ years: $\displaystyle m(12000) = m_0 e^ = 10^e^ \approx 2.34 \times 10^$ I think you can now do the ,000$ year case (just change the value of $t$).So, the scientist would find C14-to-C12 ratios ranging from: .34 \times 10^$ - to - [insert 000$ year calculation here].The exponential decay formula is given by: $$m(t) = m_0 e^$$ where $\displaystyle r = \frac$, $h$ = half-life of Carbon-14 = 30$ years, $m_0$ is of the initial mass of the radioactive substance.
These and many similar questions can be answered by carbon dating, a method used by archaeologists and other scientists to discover the age of ancient remains and artifacts. All living organisms on this planet are composed partially of carbon.
So, objects older than that do not contain enough of the isotope to be dated.
Conversely, the method doesn't work on objects that are too young.
This process, known as carbon dating, was developed by the American chemist Willard Libby in 1947 at the Institute for Nuclear Studies at Columbia University.
Carbon dating uses an exponential decay function, remaining in an object that is t years old.