Many physical processes are exponential in nature. A typical way of cleaning a tank of contaminated water is to run in clean water at a constant rate, stir, and let the mixture run out at the same rate. Suppose there are initially 100 pounds of a contaminant in a large tank of water. Assume that the cleaning method described above removes 20% of the remaining contaminant each hour. How much contaminant is removed during the first three hours

The amount of the contaminant removed during the first three hours will be 48.8 pounds.

Step-by-step explanation:

There, in a large tank of water, are initially 100 pounds of a contaminant.

Also given that the cleaning method removes 20% of the remaining contaminant each hour.

So, after the first hour, the amount of the contaminant will remain by pounds.

Now, after the second hour, the amount of the contaminant will remain by

pounds.

Finally, after the third hour, the amount of the contaminant will remain by pounds.

Therefore, the amount of the contaminant removed during the first three hours will be (100 - 51.2) = 48.8 pounds. (Answer)

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step-by-step explanation:

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