Question

The decay of 923 mg of an isotope described by the function A(t)= 923e-0.027t, where t is time in years. Find the amount left after 76 years. Round your answer to the nearest mg. Show all of your work for full credit.

Answer 1

\[A(t) = 923[\textrm{mg}]\cdot e^{-0.027[1/\textrm{yr}]t}\]
Substituting in \(t=76[\textrm{yr}]\)\[A(76[\textrm{yr}]) = 923[\textrm{mg}]\cdot e^{-0.027[1/\textrm{yr}](76[\textrm {yr}])}\\\qquad\qquad=\]