In 1998 archaeologist uncover a wooden coffin believed by local residents to be that of early american colonist. A piece of the coffin is analyzed by radiocarbon dating to determine the actual age of the coffin. The decay rate for carbon 14 in the sample is 14.2 dis/min per graham carbon. In what year was the coffin most likely made? ( Assume the half life of carbon-14 is 5730 years and that the decay rate for carbon 14 in living organisms is 15 dis/min per gram carbon