A tank like the one pictured above has a capacity of 900 gallons. Initially, the tank contains 20 pounds of sugar dissolved in 100 gallons of water. At time = 0, a solution : containing 0.3 pounds of sugar per gallon flows into the tank at a rate of 6 gallons per minute, and the well-stirred mixture flows out of the tank at a rate of 4 gallons per minute. 1. How much time will elapse before the tank is filled to capacity? Answer: minutes 2. What is the sugar concentration in the tank when it contains 250 gallons of solution? Answer: ☐ pounds per gallon 3. What is the sugar concentration in the tank at the instant the tank is filled to capacity? Answer: ☐ pounds per gallon

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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Question
A tank like the one pictured above has a capacity of 900
gallons. Initially, the tank contains 20 pounds of sugar
dissolved in 100 gallons of water. At time = 0, a solution
:
containing 0.3 pounds of sugar per gallon flows into the
tank at a rate of 6 gallons per minute, and the well-stirred
mixture flows out of the tank at a rate of 4 gallons per
minute.
1. How much time will elapse before the tank is filled to
capacity?
Answer:
minutes
2. What is the sugar concentration in the tank when it
contains 250 gallons of solution?
Answer: ☐ pounds per gallon
3. What is the sugar concentration in the tank at the
instant the tank is filled to capacity?
Answer: ☐ pounds per gallon
Transcribed Image Text:A tank like the one pictured above has a capacity of 900 gallons. Initially, the tank contains 20 pounds of sugar dissolved in 100 gallons of water. At time = 0, a solution : containing 0.3 pounds of sugar per gallon flows into the tank at a rate of 6 gallons per minute, and the well-stirred mixture flows out of the tank at a rate of 4 gallons per minute. 1. How much time will elapse before the tank is filled to capacity? Answer: minutes 2. What is the sugar concentration in the tank when it contains 250 gallons of solution? Answer: ☐ pounds per gallon 3. What is the sugar concentration in the tank at the instant the tank is filled to capacity? Answer: ☐ pounds per gallon
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