SOLUTION: The half-life of a certain radioactive material is 42 days. An initial amount of the material has a mass of 49 kg. Write an exponential function that models the decay of this mater

Question 681751: The half-life of a certain radioactive material is 42 days. An initial amount of the material has a mass of 49 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 8 days. Round your answer to the nearest thousandth.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The half-life of a certain radioactive material is 42 days.
An initial amount of the material has a mass of 49 kg.
Write an exponential function that models the decay of this material.
:
A = Ao*2^(-t/h), where:
A = amt after t time
Ao = initial amt (t=0)
t = time of decay
h = half life of substance
:
A = 49*2^(-t/42)
:
:
Find how much radioactive material remains after 8 days.
A = 49*2^(-8/42)
A = 49*.8763
A = 42.9395 ~ 42.940, to the nearest thousandth.
RELATED QUESTIONS
The half-life of a certain radioactive material is 85 days. An initial amount of material (answered by nerdybill)

The half-life of a certain radioactive material is 85 days. An initial amount of the... (answered by drk)

help me please The half-life of a certain radioactive material is 66 days. An initial (answered by ccs2011)

The half-life of a certain radioactive material is 85 days. An initial amount of the... (answered by ankor@dixie-net.com)

The half-life of a certain radioactive material is 67 days. An initial amount of the... (answered by ewatrrr)

The half-life of a certain radioactive material is 32 days. An initial amount of the... (answered by ankor@dixie-net.com)

The half-life of a certain radioatcive material is 85 days. An initial amount of the... (answered by ankor@dixie-net.com)

The half-life of a certain radioactive material is 76 hours. An initial amount of the... (answered by stanbon)

The half-life of a certain radioactive material is 71 hours. An initial amount of the... (answered by ankor@dixie-net.com)