Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon that is 14C is constant. The amount of 14C in an object made from harvested plants, like paper, will decline exponentially according to the equation , where A represents the amount of 14C in the object, Ao represents the amount of 14C in living organisms, and t is the time in years since the plant was harvested. If an archeological artifact has 35% as much 14C as a living organism, how old would you predict it to be? Round to the nearest year.

A. 5715 years
B. 29,310 years
C. 93 years
D. 8655 years
E. 15,427 years


Answer: D

Mathematics

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Mathematics