SOLUTION: I am having trouble with this one. Anyone out there that can help me. Thanks! The half-life of radioactive carbon-14 is 5,700 years. How much initial sample will remain after

Question 62160: I am having trouble with this one. Anyone out there that can help me. Thanks!
The half-life of radioactive carbon-14 is 5,700 years. How much initial sample will remain after 3,000 years.
Thanks!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The half-life of radioactive carbon-14 is 5,700 years. How much initial sample will remain after 3,000 years.
:
The half-life formula that I have:
:
A = Ao[.5^(t/h)]
Where:
Ao = initial amt
t = time (yrs here)
h = half life of the substance
:
Let the initial sample (Ao) = 1, t = 3000, h = 5700
:
A = 1*(.5^(3000/5700))
A = .5^.5263
ln(A) = .5263*ln(.5); using nat logs
ln(A) = -.3648
A = .6943
:
We can say that 69.43% of the initial amt remain after 3000 years

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