SOLUTION: Hi the amount of water in a tank decreases by half every half hour.the tank now has 70 cubic metres of water. How much water will be left after 90min. thanks

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Question 1095674: Hi
the amount of water in a tank decreases by half every half hour.the tank now has 70 cubic metres of water. How much water will be left after 90min.
thanks

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
"...every half hour..."

The simple way:
Now        70
30 min     35
60 min     17.5
90 min     8.75

8.75 cubic meters remain after 90 minutes.

Answer by ikleyn(52923) About Me  (Show Source):
You can put this solution on YOUR website!
.
The condition says

V(t) = V%5B0%5D%2F2%5E%282t%29,

where V(t) is the current volume, V%5B0%5D is the initial volume and t is time in hours.


In 1.5 hours,  v(1.5) = 70 : 2^(2*(3/2)) = 70%2F2%5E3 = 8.75 cibic meters.




Or, 3/2 hours is 3 times (1/2) of an hour.


So, divide 70 by 2 three times.


You will get the same answer.