<PRE><B>Question 1080195</B>
carbon-14 is a radioactive isotope of carbon, half-life is the time for half the carbon-14 in an object to decay into nitrogen-14.
:
The appropriate formula is
:
A = Ao x (1/2)^(t / HL), A is the amount currently remaining, Ao is the original amount, t is the amount of time that has passed, and HL is the half-life
:
0.20 = 1.00 x (1/2)^(t / 5750)
:
0.20 = (1/2)^(t / 5750)
:
use definition of logarithm
:
(t / 5750) = log base (1/2) 0.20 = 2.3219
:
t = 5750 * 2.3219 = 13350.925
:
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The object is 13,350 years old
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