Find the half-life of a radioactive element, which decays according to the function A(t) = A_0e^{- 0.0338t}, where t is the time in years. The half-life of the element is years. (Round to the nearest tenth.)
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This can be represented by the equation: \[ \frac{1}{2} A_0 = A_0 e^{0.0338t_{\frac{1}{2}}} \] where \( A_0 \) is the initial amount and \( t_{\frac{1}{2}} \) is the half-life. ** Show more…
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