Carbon dating of small bits of charcoal used in cave paintings has determined that some of the paintings are from 10000 to 30000 y old. Carbon-14 has a half-life of 5730 y. In a 1μg-sample of carbon from a live tree, the activity of carbon-14 is 6.4μCi. If researchers determine that 1μg of charcoal from a prehistoric cave painting in France has an activity of 1.6 μCi, what is the age of the painting? Express your answer using two significant figures.
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