Unformatted text preview: Now, divide by 5730 to solve for k. k = ln (1/2) . /. 5730 = 1.21e4 Now that we know the value of k, we insert 99.5% into the equation to find out how many years it takes for the picture’s carbon14 to decay 99.5%. .995 = e (1.21e4)t Again, we need to take the ln of both sides to get ride of e. ln (.995) = (1.21e4 )t Divide by 1.21e4 to solve for t, time in years. t = ln (.995) . /. 1.21e4 = 41.426 We concluded that the picture is fake. We know this because it only takes 41.426 years for the carbon14 to decay to 99.5%, but they claim it is over 300 years old. If it were truly over 300 years old, there would be much less carbon14 present....
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 Fall '08
 BLAKELOCK
 Calculus, Radioactive Decay, HalfLife, Huynh

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