SOLUTION: The half-life of a certain radioactive material is 32 days. An initial amount of the material has a mass of 361 kg. Write an exponential function that models the decay of this mate
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Question 638910: The half-life of a certain radioactive material is 32 days. An initial amount of the material has a mass of 361 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 5 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 32 days.
An initial amount of the material has a mass of 361 kg.
Write an exponential function that models the decay of this material.
Find how much radioactive material remains after 5 days.
Round your answer to the nearest thousandth.
:
The radio active decay formula: A = Ao*2^(-t/h); where
A = remaining amt after t time
Ao = initial amt
t = time of decay
h = half-life of the substance
:
A = 391*2^(-5/32)
using a calc find 2^(-5/32)
A = 391 * .89735
A = 350.866 kg
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