Real-World Applicationshard
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A 100-liter tank contains saltwater with a concentration of 10 g/L. Fresh water flows in at 5 L/min while the mixed solution drains at 5 L/min (volume constant). The salt amount S(t)S(t) satisfies dSdt=S(t)5100\frac{dS}{dt} = -\frac{S(t) \cdot 5}{100}. Approximately how many grams of salt remain after 30 minutes?