A radioactive substance decays according to with decay constant

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

A radioactive substance decays according to y(t)=Cekty(t)=Ce^{kt} with decay constant k=−0.042 yr−1k=-0.042\,\text{yr}^{-1}. Determine its half-life, to the nearest whole year.

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