SOLUTION: A substance decomposes radioactively. It's half-life is 26 years. How much of the original substance will remain after 300 years?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: A substance decomposes radioactively. It's half-life is 26 years. How much of the original substance will remain after 300 years?      Log On


   



Question 288378: A substance decomposes radioactively. It's half-life is 26 years. How much of the original substance will remain after 300 years?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A substance decomposes radioactively.
It's half-life is 26 years. How much of the original substance will remain after 300 years?
:
The half life formula: A = Ao[2^(-t/h)]
Where
A = the resulting amt after t yrs
Ao = initial amt
t = time in yrs
h = half-life in yrs
:
Assume the initial amt = 1
A = 2^(-300/26)
:
enter 2^(-300/26), on a good calc;
A = .00033618 ~ .03362% after 300 years