SOLUTION: Please help me form an equation for the problem below: Carbon-11 decays into boron at the rate of roughly 3.5% per minute. What is the half-life of carbon-11?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Please help me form an equation for the problem below: Carbon-11 decays into boron at the rate of roughly 3.5% per minute. What is the half-life of carbon-11?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 973319: Please help me form an equation for the problem below:
Carbon-11 decays into boron at the rate of roughly 3.5% per minute. What is the half-life of carbon-11?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
C-11 retains 96.5% per minute.
If initial quantity is 1 unit, then 1 minute passing,
0.965=1%2Ae%5E%28k%2A1%29
ln%280.965%29=k, and computing this,
k=-0.03563

The decay equation is A=A%5Bo%5De%5E%28-0.03563t%29.



HALF-LIFE

Let A=1%2F2 and A%5Bo%5D=1, and solve for t.