Mathematics
Mathematics, 29.01.2020 23:56, lesliesaucy4987

Solve using proper methods. show work. (25 points)

initially a tank contains 10,000 liters of liquid at the time t = 0 minutes a tap is opened, a liquid then follows out of the tank. the volume of the liquid v liters, which remains in the tank after t minutes is given by v = 10,000(0.933)^t

a) find the value of v after 5 minutes.
b) find how long, to the nearest second, it takes for half of the initial amount of liquid to follow out of the tank.
c) the tank is regarded as effectively empty when 95% of the liquid has flowed out. show that it takes almost three quarters of an hour for this to happen.
d) (i) find the value of 10,000 - v when t = 0.001 minutes
(ii) hence or otherwise, estimate the initial flow rate of the liquid. give your answer in liters per minute, correct to two significant figures.

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Answers: 1

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Solve using proper methods. show work. (25 points)

initially a tank contains 10,000 lite...

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