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The Age of an Ancient Artifact Can Be Determined by the Amount

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The age of an ancient artifact can be determined by the amount of radioactive carbon-14 remaining in it. If D0D _ { 0 } is the original amount of carbon-14 and D is the amount remaining, then the artifact's age A (in years) is given by A=8267ln(DD0)A = - 8267 \ln \left( \frac { D } { D _ { 0 } } \right) Find the age of an object if the amount D of carbon-14 that remains in the object is 50% of the original amount D0D _ { 0 } .

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