SOLUTION: The age of an ancient artifact can be determined by the amount of radioactive carbon-14 remaining in it. If D0 is the original amount of carbon-14 and D is the amount remaining, th
Algebra ->
Rational-functions
-> SOLUTION: The age of an ancient artifact can be determined by the amount of radioactive carbon-14 remaining in it. If D0 is the original amount of carbon-14 and D is the amount remaining, th
Log On
Question 1194668: The age of an ancient artifact can be determined by the amount of radioactive carbon-14 remaining in it. If D0 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 = −8267 ln(D/D0)
Find the age of an object if the amount D of carbon-14 that remains in the object is 92% of the original amount D0. (Round your answer to the nearest whole number.) Answer by ikleyn(52803) (Show Source):
You can put this solution on YOUR website! .
The age of an ancient artifact can be determined by the amount of radioactive carbon-14
remaining in it. If D0 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 = −8267 ln(D/D0).
Find the age of an object if the amount D of carbon-14 that remains in the object
is 92% of the original amount D0. (Round your answer to the nearest whole number.)
~~~~~~~~~~~~~~~~~
The problem says that the amount D of the Carbon-14 remaining in the artifact
is 92%, or 0.92, of the original amount D0.
In other words, according to the problem, D/D0 = 0.92.
Having it, apply the given formula: the age of the artifact is
A = = = use your calculator = 688.5 years = 690 years (ap-proximately.