Chapter 1.2, Problem 61E

To determine

To calculate: The age of the sample to the nearest $5000$ years by calculating the amount left after $5000$ years, $10,000$ years, …, $35,000$ years using the formula for amount, A of carbon $14$ is approximated by $C\left(t\right)=A{\left(0.999879\right)}^t$ where t is time in years if a fossil originally contained $46$ grams of carbon $14$ and the fossil contains $4.06$ grams of carbon $14$.