Question 245978: The function A=A0e^-0.01386x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 500 pounds of the material are placed in the vault, how much time will need to pass for only 63 pounds to remain?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The function A(x)= Aoe^-0.01386x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 500 pounds of the material are placed in the vault, how much time will need to pass for only 63 pounds to remain?
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A(x)= Ao[e^-0.01386x]
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63 = 500[e^(-0.01386x)]
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e^(-0.01386x) = 0.1260
Take the natural log of both sides:
-0.01386x = -2.0715
x = 149.46.. years
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Cheers,
Stan H.
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