Statistics Solutions

[See Solution] A tank contains 1000 ~L of brine with 20 ~kg of dissolved salt. Mixture containing 4 ~g / L of salt enters the tank at a rate of 5 ~L / min.

Question: A tank contains $1000 \mathrm{~L}$ of brine with $20 \mathrm{~kg}$ of dissolved salt. Mixture containing $4 \mathrm{~g} / \mathrm{L}$ of salt enters the tank at a rate of $5 \mathrm{~L} / \mathrm{min}$. The solution is kept thoroughly mixed and drains from the tank at the same rate.

How much salt is in the tank after $t$ minutes?
If $S(t)$ is the amount of salt in the tank after $t$ minutes, then find and interpret the limit of $S(t)$ as $t \rightarrow \infty$

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[See Solution] A tank contains 1000 ~L of brine with 20 ~kg of dissolved salt. Mixture containing 4 ~g / L of salt enters the tank at a rate of 5 ~L / min.

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