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While exploring a coal mine, scientists found plant fossils in the ceiling of the mine which had been preserved by an earthquake. Samples taken from one of the fossils have carbon-14 activities of 20.0 counts/min. A reference sample of the same size, from a plant alive today, has a carbon-14 activity of 160.0 counts/min. If carbon-14 has a half-life of 5730 years, what is the age of the plant fossil in years?