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)
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Chapter6: Topics In Analytic Geometry
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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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