A tank initially holds 100 gallons of salt solution in which 50 Ibs of salt has been dissolved. A pipe fills the tank with brine at the rate of 3 gpm, containing 2 Ibs of dissolved salt per gallon. Assuming that the mixture is kept uniform by stirring, a drain pipe draws out of the tank the mixture at 2gpm. Find the amount of salt in the tank at the end of 30 minutes. Integrating Factor = Amount of salt in the tank at the end of 30 minutes =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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A tank initially holds 100 gallons of salt solution
in which 50 lbs of salt has been dissolved. A pipe
fills the tank with brine at the rate of 3 gpm,
containing 2 Ibs of dissolved salt per gallon.
Assuming that the mixture is kept uniform by
stirring, a drain pipe draws out of the tank the
mixture at 2gpm. Find the amount of salt in the
tank at the end of 30 minutes.
Integrating Factor =
Amount of salt in the tank at the end of 30
minutes =
Transcribed Image Text:A tank initially holds 100 gallons of salt solution in which 50 lbs of salt has been dissolved. A pipe fills the tank with brine at the rate of 3 gpm, containing 2 Ibs of dissolved salt per gallon. Assuming that the mixture is kept uniform by stirring, a drain pipe draws out of the tank the mixture at 2gpm. Find the amount of salt in the tank at the end of 30 minutes. Integrating Factor = Amount of salt in the tank at the end of 30 minutes =
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