Suppose an Egyptian mummy is discovered in which the amount of​ carbon -14 present is only about one​-half the amount found in living human beings. The amount of​ carbon -14 present in animal bones after t years is given by y = y0 e −0.0001216t​, where y0 is the amount of​ carbon -14 present in living human beings. About how long ago did the Egyptian​ die?   ​(Round to the nearest integer as​ needed.)

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