Question 1102754
3. Initially a tank contains 10,000 liters of liquid. At the time t=0 minutes a tap is opened, and liquid then flows out of the tank. The volume of liquid, V liters, which remains in the tank after t minutes is given by V=10,000(0.933)^t. 
a. Find out how much liquid is in the tank after 5 minutes. 
Sub 5 for t, calculate.
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b. Find out how long, to the nearest second, it takes for half of the initial amount of liquid to flow out of the tank. 
V=10,000(0.933)^t = 5000
Solve for t.
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c. The tank is regarded as effectively empty when 95% of the liquid has flowed out. Show that this takes almost three-quarters of an hour. 
V=10,000(0.933)^t = 500
Solve for t.
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d. (i) Find the value of 10,000 - V when t=0.001 minutes
Sub 0.001 for t.
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(ii) Hence, or otherwise, estimate the initial flow rate of the liquid.
Give your answer in liters per minute, correct to two significant figures.
The result of d. (i) above is a good estimate.