At time minutes

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

Problem

At time tt minutes, a chemical is added to a reactor at a rate of R(t)=5e0.4tR(t)=5e^{0.4t} milligrams per minute. The reactor is initially empty. Determine, to the nearest tenth of a minute, the time tt at which the total amount of chemical added reaches 120 milligrams.

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