A 300-Gallon Tank Is Full of a Solution Containing 35 $Q = e ^ { ( 1 / 30 ) t }$

question 39

Multiple Choice

A 300-gallon tank is full of a solution containing 35 pounds of concentrate. Starting at time distilled water is added to the tank at a rate of 30 gallons per minute, and the well-stirred Solution is withdrawn at the same rate. Find the amount of concentrate Q in the solution as a function Of t.

• A)\(Q = e ^ { ( 1 / 30 ) t }\)
• B) \(Q = 30 e ^ { - ( 1 / 10 ) t }\)
• C) \(Q = 300 e ^ { - ( 1 / 10 ) z }\)
• D) \(Q = 35 e ^ { - ( 1 / 10 ) t }\)
• E) \(Q = e ^ { - ( 1 / 35 ) z }\)

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Definitions:

Exercise Value

The value of an option if it were exercised immediately, typically the difference between the underlying asset's market price and the option's strike price.

Time Value

The concept that money available in the present is worth more than the same amount in the future due to its potential earning capacity.

Market Value

The ongoing price for buying or selling a service or asset on the open market.

Equilibrium

Equilibrium refers to a state in which market supply and demand balance each other, and as a result, prices become stable.