The quanity, Q, of radioactive carbon-14 remaining t yearsafter an organism dies is given by the formulaQ-Q

_{o}e^{-0.000121t}where Q_{0}is theinitial quanity.a. A skull uncovered at an archeological dig has 15% of theoriginal amount of carbon-14 present. Estimate its age.

b. Calculate the half-life of carbon-14

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## Answers ( 1 )

a) the amount of carbon-14 is 15% of the original,or . plug this into the equation and solve for t:

the Q

_{0}'s cancel:(answer)

b) the half life is where the carbon is half gone, so:

(answer)