SOLUTION: A skeleton contains one hundredth of its original amount of its original amount of carbon-14. If carbon-14 has a half-life of 5750 years, to the nearest 1000 years, how old is the
Algebra.Com
Question 81408: A skeleton contains one hundredth of its original amount of its original amount of carbon-14. If carbon-14 has a half-life of 5750 years, to the nearest 1000 years, how old is the skeleton?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A skeleton contains one hundredth of its original amount of its original amount of carbon-14. If carbon-14 has a half-life of 5750 years, to the nearest 1000 years, how old is the skeleton?
-----------
A(t) = A(o)(1/2)^(t/5750)
0.01A(o) = A(o)(1/2)^(t/5750)
0.01 = 0.5^(t/5750)
Take the log of both sides to get:
log 0.01 = (t/5750)*log0.5
t/5750 = log0.01/log0.5 =6.64385619...
t = 38202 yrs
==============
Cheers,
Stan H.
RELATED QUESTIONS
If a bome contains 94% of its original carbon-14, how old is the bome? (Carbon-14 has a... (answered by greenestamps)
an artifact was found and tested for its carbon-14 content. If 87% of the original... (answered by stanbon)
An artifact was found and tested for its carbon-14 content. If 82% of the original... (answered by ankor@dixie-net.com)
An artifact was found and tested for its carbon-14 content. If 79% of the original... (answered by stanbon)
An artifact was found and tested for its carbon-14 content. If 72% of the original... (answered by ankor@dixie-net.com)
An artifact was found and tested for its carbon-14 content. If 77% of the original... (answered by ankor@dixie-net.com)
how old is a skeleton that has 95% of its carbon-14... (answered by solver91311)
A paleontologist discovers a fossil and wishes to determine its age. This can be done by (answered by scott8148)
The half-life of carbon 14 is 5,730 years. Approximately, how old is a bone that has 70%... (answered by Theo,greenestamps)