The charred bones of a sloth in a cave in Chile represent the earliest evidence of human presence at the southern tip of South America. A sample of the bone has a specific activity of 5.96 disintegrations per minute per gram of carbon (d/minLaTeX: \cdot⋅g). If the 12C/14C ratio for living organisms results in a specific activity of 12.6 d/minLaTeX: \cdot⋅g, how old are the bones (t1/2 of 14C = 5730 years)?
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