To determine how much water can be pumped from the aquifer to balance the budget, we need to understand that the water pumped should equal the net water received after accounting for natural losses.
Step-by-step solution:
1. Determine Precipitation Received:
The aquifer receives [tex]\(40 \, m^3\)[/tex] of precipitation.
2. Calculate Natural Loss:
There is a loss of [tex]\(10 \, m^3\)[/tex] of water through natural movement.
3. Compute Net Water:
Subtract the natural loss from the precipitation to find the net water available for pumping:
[tex]\[
40 \, m^3 \text{ (precipitation)} - 10 \, m^3 \text{ (natural loss)} = 30 \, m^3
\][/tex]
4. Balanced Budget:
To balance the water budget, the amount of water pumped from the aquifer should equal the net water received, which is [tex]\(30 \, m^3\)[/tex].
Therefore, the correct amount of water that can be pumped from the aquifer to balance the budget is [tex]\(30 \, m^3\)[/tex].
So, the answer is:
[tex]$30 m^3$[/tex]
