Math  /  Differential Equations

Question Find the time it takes for a tranquilizer with a half-life of 50 hours to decay to 95%95\% of its original dosage using the exponential decay model A=A0ektA=A_{0} e^{k t}.

Studdy Solution
Calculate the time.
t=ln(0.95)0.0138637.14hourst = \frac{\ln(0.95)}{0.01386} \approx 37.14 \, hours
It will take approximately 37.14 hours for the drug to decay to 95% of the original dosage.

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