SOLUTION: a radioactive substance has a half life of 120 days.if an original sample of the substance has a mass of 10 grams, about how much of the substance will remain after 180 days of the

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: a radioactive substance has a half life of 120 days.if an original sample of the substance has a mass of 10 grams, about how much of the substance will remain after 180 days of the      Log On


   



Question 452384: a radioactive substance has a half life of 120 days.if an original sample of the substance has a mass of 10 grams, about how much of the substance will remain after 180 days of the original substance
-------------------------------------------------------------------------------i need help with this question. would appreciate the help. sorry, i dont know if this is under the right section.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a radioactive substance has a half life of 120 days.
if an original sample of the substance has a mass of 10 grams, about how much
of the substance will remain after 180 days of the original substance
:
The radioactive decay formula
A = Ao*2^(-t/h)
where
A = resulting amt after t time
Ao = initial amt
t = time
h = half-life of substance
:
A = 10*2^(-180/120)
A = 10*2^(-3/2)
:
Find 2^-1.5 on calc
A = 10 * .35355
A = 3.5355 grams after 180 days