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-

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
icon
Related questions
Question
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--- ✓
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--- ✓
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning