SOLUTION: The half-life of a certain radioactive material is 67 days. An initial amount of the material has a mass of 25 kg. Write an exponential function that models the decay of this mater

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The half-life of a certain radioactive material is 67 days. An initial amount of the material has a mass of 25 kg. Write an exponential function that models the decay of this mater      Log On


   



Question 607380: The half-life of a certain radioactive material is 67 days. An initial amount of the material has a mass of 25 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 27 days. Round your answer to the nearest thousandth.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Q = Q[0]e^-kt
The half-life of a certain radioactive material is 67 days
.5 = e^-67k
ln(.5)/-67 = k = .01
Q = Q%5B0%5De%5E%28-.01t%29
An initial amount of the material has a mass of 25 kg.
Q = 25e%5E%28-.01t%29
Find how much radioactive material remains after 27 days
Q = 25e%5E%28-.01%2A27%29
Q = 19.084