A 50-gallon barrel is filled completely with pure water. Salt water with a concentration of 0.3 pounds/gallon is then pumped into the barrel, and the resulting mixture overflows at the same rate. The amount of salt (in pounds) in the barrel at time t (in minutes) is given by Q(t) = 15(1-e) where k> 0 (a) Find k if there are 12.5 pounds of salt in the barrel after 30 minutes. Round your answer to 4 decimal places. (b) What happens to the amount of salt in the barrel ast? Q-Select-
A 50-gallon barrel is filled completely with pure water. Salt water with a concentration of 0.3 pounds/gallon is then pumped into the barrel, and the resulting mixture overflows at the same rate. The amount of salt (in pounds) in the barrel at time t (in minutes) is given by Q(t) = 15(1-e) where k> 0 (a) Find k if there are 12.5 pounds of salt in the barrel after 30 minutes. Round your answer to 4 decimal places. (b) What happens to the amount of salt in the barrel ast? Q-Select-
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...
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Transcribed Image Text:A 50-gallon barrel is filled completely with pure water. Salt water with a concentration of 0.3 pounds/gallon is then pumped into the barrel, and the resulting mixture overflows at the same rate. The amount of salt (in pounds) in the barrel at time t (in minutes) is given by Q(t) = 15(1 - e-kt) where k > 0.
(a) Find k if there are 12.5 pounds of salt in the barrel after 30 minutes. Round your answer to 4 decimal places.
k=
(b) What happens to the amount of salt in the barrel as t→ ∞0 ?
Q→ ---Select--- ✓
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