SOLUTION: The half-life of a certain substance is 11.5 years. Suppose that today you have 731 grams of the substance. a) how much will be left after 23 years? b) how much will be left a

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The half-life of a certain substance is 11.5 years. Suppose that today you have 731 grams of the substance. a) how much will be left after 23 years? b) how much will be left a      Log On


   

Question 1145226: The half-life of a certain substance is 11.5 years. Suppose that today you have 731 grams of the substance.
a) how much will be left after 23 years?
b) how much will be left after 34.5 years?
c) how much will be left after 48 years?
Answer by ikleyn(52813) About Me  (Show Source):
You can put this solution on YOUR website!
.

(a)  23 years is twice half-life period --- therefore,   %281%2F2%29%5E2 = 1%2F4 of the substance will remain after 23 years.


(b)  34.5 years is thrice half-life period --- therefore,  %281%2F2%29%5E3 = 1%2F8 of the substance will remain after 34.5 years.