A yeast culture starts with mass and grows exponentially with rate constant

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

Problem

A yeast culture starts with mass 5 g5\text{ g} and grows exponentially with rate constant k=0.21 h−1k=0.21\text{ h}^{-1}. For what interval of time t (in hours)t\,(\text{in hours}) will the mass remain below 50 g50\text{ g}?

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