Suppose the amount of a radtoactive element remaining in a sample of 100 milligrams after x years2can be described by Ax = 100e-001831x How much is remaining after 295 years Round theanswer to the nea
To find the amount remaining after 295 years, we plug in x = 295 into the equation A(x) = 100e^(-0.01831x):
A(295) = 100e^(-0.01831 * 295)
Using a calculator, we can evaluate this expression:
A(295) ≈ 100e^(-5.39945)
A(295) ≈ 100 * 0.00418133
A(295) ≈ 0.418133
Rounding to the nearest hundredth of a milligram, the amount remaining after 295 years is approximately 0.42 milligrams.
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