# SOLUTION: The radioactive element carbon-14 has a half-life of 5750 years. The percentage of carbon-14 present in the remains of plants and animals can be used to determine age. How old is a

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 Question 363543: The radioactive element carbon-14 has a half-life of 5750 years. The percentage of carbon-14 present in the remains of plants and animals can be used to determine age. How old is a skeleton that has lost 40% of its carbon-14? Note: Do not round any numbers during your calculation. Answer by ankor@dixie-net.com(15660)   (Show Source): You can put this solution on YOUR website!The radioactive element carbon-14 has a half-life of 5750 years. The percentage of carbon-14 present in the remains of plants and animals can be used to determine age. How old is a skeleton that has lost 40% of its carbon-14? Note: Do not round any numbers during your calculation. : Using the half-life formula: A = Ao*2^(-t/h) Where A = resulting amt after t yrs Ao = initial amt t = time h = half-life of substance : Assume the initial amt = 1, remaining amt after t yrs = .6 : 1*2^(-t/5750) = .6 using nat logs ln(2) = ln(.6) = ln(2) = -.736955942 t = -5750 * -.736955942 t = 4,237.55 yrs