The flow of water into a fresh-water tank is controlled by a ballcock valve. After filling from empty, the volume V litres of water in the tank at time t minutes is given by: V = 200(1-e-0.5t) (i) Solve this equation to determine the time, correct to the nearest second, at which the volume of water in the tank is equal to 100 litres.
The flow of water into a fresh-water tank is controlled by a ballcock valve. After filling from empty, the volume V litres of water in the tank at time t minutes is given by: V = 200(1-e-0.5t) (i) Solve this equation to determine the time, correct to the nearest second, at which the volume of water in the tank is equal to 100 litres.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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Question
The flow of water into a fresh-water tank is controlled by a ballcock valve.
After filling from empty, the volume V litres of water in the tank at time t
minutes is given by:
V = 200(1-e-0.5t)
(i) Solve this equation to determine the time, correct to the nearest
second, at which the volume of water in the tank is equal to 100 litres.
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