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Solve the Problem A\mathrm { A } , Declines at a Rate Proportional to the Amount, That

question 166

Multiple Choice

Solve the problem.
-The amount of alcohol in the bloodstream, A\mathrm { A } , declines at a rate proportional to the amount, that is, dAdt=kA\frac { \mathrm { dA } } { \mathrm { dt } } = - \mathrm { kA } . If k=0.5\mathrm { k } = 0.5 for a particular person, how long will it take for his alcohol concentration to decrease from 0.10%0.10 \% to 0.05%0.05 \% ? Give your answer to the nearest tenth of an hour.

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