Help please!!!!!!????!!!!
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Answer:
16,460 gallons
Step-by-step explanation:
This is a differential equation problem, we have a constant flow of contaminant into the lake, but also we know that only a fraction of that quantity of contaminant remains because of the enzymes. For that reason, the differential equation of contaminant's flow into the lake would be:
Then, we have to integrate in order to find the equation for Q(t), as the quantity of contaminant in the lake, in function of time.
Now, we use the given conditions to replace them in the equation, in order to solve for
Then, we reorganize the equation and we replace t for 17 hours, in order to determine the quantity of contaminant at that time: