All living things contain carbon. Most of this carbon is stable carbon-12. However, a small percentage will be carbon-14, a radioactive isotope of carbon that decays with time. As living things eat and breath, carbon is constantly recycled and therefore the percentage of carbon-14 remains constant. It's not until death that the percentage of carbon-14 will begin to diminish from decay. Because radioactive decay is a first-order process, the integrated rate law for a first-order reaction can be rewritten asfraction remaining=0.5 (t/t 1/2 ) where t is the time elapsed and t 1/2 is the half-life. The half-life of C-14 is 5730 years.

Part A A fossil was analyzed and determined to have a carbon-14 level that is 46.0% that of living organisms. How old is the fossil?Express your answer with the appropriate units