Question 1077704: A radioactive substance is known to decay at a rate proportional to the amount
present. If half of a given sample has disappeared after 1200 years, find ( to the
nearest percent) what percentage remains after 1800 years.
Answer by jorel1380(3719)   (Show Source):
You can put this solution on YOUR website! Half the mass lost is:
1/2=e^-kt where k is a constant, and t is the time. In this case,our substances' half life is 1200, so:
-0.69314718055994530941723212145818=-1200k
k=0.000577622650466621
e^-(0.0005776226504666211)1800=35.355339059327375658806198307235% of the mass remaining after 1800 years. ☺☺☺☺
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