A tank contains 100 gal of brine in which 50lb of salt is dissolved. Brine containing 2lb/gal of salt runs into the tank at the rate of 3 gal/min; and the mixture, assumed to be kept uniform by stirring, runs out the rate of 2 gal/min. Assuming that the tank is sufficiently large to avoid overflow, find the amount of salt in the tank as a function of the time t. When will the concentration of salt in the tank reach 3/2 lb/gal? How much salt is in the tank at the end of 30 mins?

A tank contains 100 gal of brine in which 50lb of salt is dissolved. Brine containing 2lb/gal of salt runs into the tank at the rate of 3 gal/min; and the mixture, assumed to be kept uniform by stirring, runs out the rate of 2 gal/min. Assuming that the tank is sufficiently large to avoid overflow, find the amount of salt in the tank as a function of the time t. When will the concentration of salt in the tank reach 3/2 lb/gal? How much salt is in the tank at the end of 30 mins?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 57SE: Repeat the previous exercise to find the formula forthe APY of an account that compounds daily....

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