SOLUTION: The half-life of a certain radioactive material is 76 hours. An initial amount of the material has a mass of 794 kg. 1. Write an exponential function that models the decay of th

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The half-life of a certain radioactive material is 76 hours. An initial amount of the material has a mass of 794 kg. 1. Write an exponential function that models the decay of th      Log On


   

Question 477838: The half-life of a certain radioactive material is 76 hours. An initial amount of the material has a mass of 794 kg.
1. Write an exponential function that models the decay of this material.
2. Calculate the amount of radioactive material remaining after 15 hours. Round your answer to the nearest thousandth.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The half-life of a certain radioactive material is 76 hours. An initial amount of the material has a mass of 794 kg.
1. Write an exponential function that models the decay of this material.
A(t) = 794(1/2)^(t/76)
---------------------------

2. Calculate the amount of radioactive material remaining after 15 hours. Round your answer to the nearest thousandth.
---
A(15) = 794(1/2)^(15/76)
----
A(15) = 794*(0.8721)
---
A(15) = 692.48 kg
=======================
Cheers,
Stan H.
================

=====