SOLUTION: Suppose the amount of a radioactive element remaining in a sample of 100 milligrams after x years can be described by A(x)=100e^-0.01657x. How much is remaining after 257 years. Ro

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Suppose the amount of a radioactive element remaining in a sample of 100 milligrams after x years can be described by A(x)=100e^-0.01657x. How much is remaining after 257 years. Ro      Log On


   



Question 151244: Suppose the amount of a radioactive element remaining in a sample of 100 milligrams after x years can be described by A(x)=100e^-0.01657x. How much is remaining after 257 years. Round the answer to the nearest hundredth of a milligram.
Answer by stanbon(75887) About Me  (Show Source):
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Suppose the amount of a radioactive element remaining in a sample of 100 milligrams after x years can be described by A(x)=100e^-0.01657x. How much is remaining after 257 years. Round the answer to the nearest hundredth of a milligram.
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A(257) = 100e^(-0.01657*257)
A(257) = 100[0.01414...]
A(257) = 1.414... milligrams
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Cheers,
Stan H.