6. A tank contains 100L of pure water. Through a pipe, brine [salt solution] that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5L/min. Through the second pipe, brine that contains 0,04 kg of salt per liter of water enters the tank at a rate of 101/min. The solution is kept well mixed and drains from the tank at a rate of 15L/min. (a) How much salt is in the tank after 1 hour? (b) When is there 24 kg of salt in the tank? (c) What is the limiting amount of salt in the tank?

6. A tank contains 100L of pure water. Through a pipe, brine [salt solution] that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5L/min. Through the second pipe, brine that contains 0,04 kg of salt per liter of water enters the tank at a rate of 101/min. The solution is kept well mixed and drains from the tank at a rate of 15L/min. (a) How much salt is in the tank after 1 hour? (b) When is there 24 kg of salt in the tank? (c) What is the limiting amount of salt in the tank?

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter12: Sequences, Series And Binomial Theorem

Section12.3: Geometric Sequences And Series

Problem 12.58TI: What is the total effect on the economy of a government tax rebate of $500 to each household in...

See similar textbooks

Similar questions

What is the total effect on the economy of a government tax rebate of $500 to each household in order to stimulate the economy if each household will spend of the rebate in goods and services?
A tank contains initially 2.500 liters of 50% solution. Water enters the tank at the rate of 25 iters per minute and the solution flows out at the rate of 50 liters per minute. Find the percentage of salt after 20 minutes
Macros Chemical Company is trying produce a test batch of a new organic fertilizer made from a proprietary type of green algae. The fertilizer is an experimental mixture of 4 ingedients: salt, water, soil, and algae (all measured in liters). In order to remain stable, the ratio of salt to water must be 5 to 8. In addition, the number of liters of salt and soil combined must always be the same as the number of liters of algae and water combined. How many liters of each compound should be included to create 110 liters of the fertilizer? Set up a system of equations, and then solve using your calculator. Use the variables in order in your equations as x, y, z, w as shown below in part a. MAKE SURE IT IS MATRIX FORM!a) Solve the system; write the solutions here, using tt as the parameter as needed. Solution:x= liters of salt ;y= liters of water ;z= liters of soil ; andw= liters of algae.b) If 14.9 liters of algae are to be used for a batch, how much of each compund will be…
7 In a G/G/3 system with average service time equal to 6.9 minutes, average time in system equal to 25.1 minutes, what is the average wait in queue?
Macros Chemical Company is trying produce a test batch of a new organic fertilizer made from a proprietary type of green algae. The fertilizer is an experimental mixture of 4 ingedients: salt, water, soil, and algae (all measured in liters). In order to remain stable, the ratio of salt to water must be 2 to 5. In addition, the number of liters of salt and soil combined must always be the same as the number of liters of algae and water combined. How many liters of each compound should be included to create 125 liters of the fertilizer? Set up a system of equations, and then solve using your calculator. Use the variables in order in your equations as x, y, z, w as shown below in part a.a) Solve the system; write the solutions here, using tt as the parameter as needed. Solution:x= _______ liters of salt ;y= _______ liters of water ;z= _______ liters of soil ; andw=_______ liters of algae.b) If 50.3 liters of algae are to be used for a batch, how much of each compund will be included in…
A tank contains 200 liters of brine with 20 kg of salt in solution. Brine containing 0.25 kg per liter of salt flows into the tank at the rate of 3 liters per minute, and the mixture, kept uniform by stirring, flows out at the rate of 2 liters/minute. Determine the time when the concentration of salt becomes 0.15 kg/liter. CHOICES: 48.94 minutes 28.94 minutes 38.94 minutes 18.94 minutes
A campaign to promote a brand of dairy products is based on the free distribution of yogurts with lemon or strawberry flavor. It is decided to distribute at least 30,000 yogurts. Every lemon yogurt needs for its elaboration 0.5 gr. of a fermentation product and each strawberry yogurt needs 0.2 gr. of that same product. It has 9 kgs. of that product for fermentation. The cost of producing a yogurt of strawberry is twice that of a lemon yogurt. How many yogurts of each type must be produced so that the cost of the campaign is minimal?.
A chemical production plant makes a particular chemical that is produced by mixing equal amounts of three liquids at an average flow rate of 20 litre/min. The first and second liquids are added at a rate of 14 litre/min and 15 litre/min respectively. a. At what rate does the third liquid need to be added to ensure the target average flow rate? b. After the mixture is ready, the final product is poured into industrial containers at a flow rate of 5 litre/min. What is the average rate of flow for the entire process of mixing the liquids and packaging the final product?
A cooperative society of farmers has 50 hectares of land for two crops, X and Y. Earnings for crops X and Y per hectare are estimated at Rs 10,500 and Rs 9,000, respectively. To control weeds, a liquid herbicide should be used for crops X and Y at a rate of 20 liters and 10 liters per hectare. Also, to protect fish and wildlife no more than 800 liters of herbicide should be used and a pond that collects drainage from this land is recommended. Use the principles of linear programming to determine how much land should be allocated to each crop in order to maximize the total benefit to society.
solve and draw a diagram of the problem Two large tanks, each holding 100L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 3L/min and from tank B into tank A at a rate of 1L/min. The liquid inside each tank is kept well stirred. Pure water flows into tank A at a rate of 6L/min. The solution flows out of the system from tank A at 4L/min and from tank B at 2L/min. If, initially, tank A contains pure water and tank B contains 20kg of salt, determine the mass of salt in each tank at time t ≥ 0.
The work force of a certain factory is growing at rate of 2 per month while the average productivity of a worker is growing at a rate of 4 units per month. If the work force is currently 100 and the average productivity per month is 200 units, at what rate is the total productivity per month of the factory increasing?
A manufacturing company has been experimenting with a new additive that is used to reduce polluting effluents from its production facility. Test results suggest that if no additive is used, pollution levels are 3000 parts per million (ppm). For each pound of additive used per week, pollution levels are reduced by 0.49 ppm. The additive costs $30 per pound. The reason for experimenting with the additive is that a government agency is conducting weekly air quality tests in the vicinity of the production facility. Regulations state that if pollution levels exceed 2000 ppm, a fine is imposed. The fine is $1000 for each ppm by which the pollution level exceeds the 2000 ppm limit. If the company has budgeted $80,000 per week to spend on the additive and any pollution fines, how much additive should be purchased each week for use by the company? What is the resulting amount that the company is willing to pay in terms of weekly fines?