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4. A tank contains 80 gal of pure water. Brine solution with 2 lb/gal of salt enters at 2 gal/min, and the well-stirred mixture leaves at the same rate. Find a) the amount of salt in the tank after half an hour, b) determine the limiting value for the amount of salt in the tank after a long time, and c) how much time must pass before the amount of salt in the tank reaches 80% of this limiting value?

4. A tank contains 80 gal of pure water. Brine solution with 2 lb/gal of salt enters at 2 gal/min, and the well-stirred mixture leaves at the same rate. Find a) the amount of salt in the tank after half an hour, b) determine the limiting value for the amount of salt in the tank after a long time, and c) how much time must pass before the amount of salt in the tank reaches 80% of this limiting value?

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section: Chapter Questions
Problem 10MPS
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Differential Equation Word Problems
B. Word Problems: Solve the following word problems. Express all answers in simplest form with the correct units. For decimal answers within computation, round to 4 decimal places, and for final answer, 2 decimal places.
Transcribed Image Text:B. Word Problems: Solve the following word problems. Express all answers in simplest form with the correct units. For decimal answers within computation, round to 4 decimal places, and for final answer, 2 decimal places.
4. A tank contains 80 gal of pure water. Brine solution with 2 lb/gal of salt enters at 2 gal/min, and the well-stirred mixture leaves at the same rate. Find a) the amount of salt in the tank after half an hour, b) determine the limiting value for the amount of salt in the tank after a long time, and c) how much time must pass before the amount of salt in the tank reaches 80% of this limiting value?
Transcribed Image Text:4. A tank contains 80 gal of pure water. Brine solution with 2 lb/gal of salt enters at 2 gal/min, and the well-stirred mixture leaves at the same rate. Find a) the amount of salt in the tank after half an hour, b) determine the limiting value for the amount of salt in the tank after a long time, and c) how much time must pass before the amount of salt in the tank reaches 80% of this limiting value?
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