A piece of charcoal is found to contain 30% of the carbon-14 that it originally had.(a) When did the tree from which the charcoal came die? Use 5730 years as the half-life of carbon-14.(b) Using a graphing utility, graph the relation between the percentage of carbon-14 remaining and time.(c) Using INTERSECT, determine the time that elapses until half of the carbon-14 remains.(d) Verify the answer found in part (a).

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