SOLUTION: A 300g sample of thorium-234 has a half-life of 24 days. The mass of thorium, in grams, that remains after t days can be modeled by M(t)=300(1/2)^t/24. what mass will remain after

Algebra ->  Rational-functions -> SOLUTION: A 300g sample of thorium-234 has a half-life of 24 days. The mass of thorium, in grams, that remains after t days can be modeled by M(t)=300(1/2)^t/24. what mass will remain after       Log On


   



Question 1090745: A 300g sample of thorium-234 has a half-life of 24 days. The mass of thorium, in grams, that remains after t days can be modeled by M(t)=300(1/2)^t/24. what mass will remain after 31 days?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A 300g sample of thorium-234 has a half-life of 24 days.
The mass of thorium, in grams, that remains after t days can be modeled by:
M(t)=300(1/2)^t/24.
what mass will remain after 31 days?
:
M%28t%29+=+300%28.5%29%5E%2831%2F24%29; the exponent is 31%2F24
Use your calc
M(t) = 300*.408479
M(t) = 122.54 grams remain after 31 days