15. A tank contains 750 L of pure water. Brine that contains .12 kg of salt per liter of waterenters the tanke at a rate of 5 L/min. Brine that contains .04 kg of salt per liter of waterenters the tank at a rate of 10 L/min. The solution is kept thoroughly mixed and drains fromthe tank at a rate of 15 L/min. How much salt is in the tank after 1 hour?(a) 50(1 – e 6/5) (b) 50(1 + e-5/7) (c) 50(1 – e-1/15) (d) 50(1 +e-7/15)(e) 50(1 – e'2/5)

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Answered: 15. A tank contains 750 L of pure…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.5: Exponential And Logarithmic Models

Problem 3ECP: Estimate the age of a newly discovered fossil for which the ratio of carbon-14 to carbon-12 is...

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Estimate the age of a newly discovered fossil for which the ratio of carbon-14 to carbon-12 is R=1/1014.
A tank initially holds 80 gal of a brine solution containing8/1 lb of salt per gallon. At t = 0, another brine solution containing 1 lb of salt per gallon is poured into the tank at the rate of 4 gal/min while the well-stirred mixture leaves the tank at the rate of 8 gal/min.a. Find the amount of salt in the tank at any time t.b. Determine when the tank will be empty.c. Determine when the tank will hold 40 gal of solution.d. Find the amount of salt in the tank when the tank contains exactly 40gal of solution.e. Determine when the tank will contain the most salt
A tank contains 100 liters of brine, with 50 kg total dissolved salt. Saltwater, with a concentration of 0.5 kg per liter, is allowed to run into the tank at the rate of 3 liters a minute. Brine run out of the tank at the rate of 2 liters a minute. The instantaneous concentration in the tank is kept uniform by stirring. How much salt is in the tank at the end of one hour?
A tank contains 400 liters of brine. Twelve (12) liters of brine, each containing 2.50 N of dissolved salt enter the tank per minute and the mixture kept uniform by stirring, leaves at the rate of 8 liters per minute. If the concentration is to be 2.00 N per liter at the end of one hour, how many newtons of salt were originally present in the tank?
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A large tank initially contains 100 liters of brine in which there is dissolved 5 grams of salt. Brine containing 4 grams of dissolved salt per liter flows into the tank at the rate of 5 liters per minute. The mixture is kept uniform by stirring, and the stirred mixture simultaneously flows out at a rate of 3 liters per minute. How much gram of salt is in the tank at the end of 46 minutes?
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A certain company produces flavored drinking water. During the mixing of the product, 150 gallons of water and 3.4 kilograms of natural flavoring are initially poured into a large mixing tank. Every minute, 15 gallons of water and 0.34 kilograms of natural flavoring are simultaneously added to the tank. Find the concentration C of the natural flavoring in the tank after 10 minutes. Note that concentration C is the ratio of kilograms of natural flavoring F to gallons of water W Do the following: 1) Construct the table of values. 2) Sketch the graph of the function. 3) Interpret the graph. 4) Determine the domain
A certain company produces flavored drinking water. During the mixing of the product, 150 gallons of water and 3.4 kilograms of natural flavoring are initially poured into a large mixing tank. Every minute, 15 gallons of water and 0.34 kilograms of natural flavoring are simultaneously added to the tank. Find the concentration C of the natural flavoring in the tank after 10 minutes. Note that concentration C is the ratio of kilograms of natural flavoring F to gallons of water W. Do the following:1) Construct the table of values.2) Sketch the graph of the function.3) Interpret the graph.4) Determine the domain and range.
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