To determine how much water can be pumped from the aquifer to balance the budget, follow these steps:
1. Identify the total amount of precipitation: The aquifer receives 40 cubic meters ([tex]$m^3$[/tex]) of water through precipitation.
2. Account for the natural water loss: The aquifer loses 10 cubic meters ([tex]$m^3$[/tex]) of water through natural movement.
3. Calculate the difference between precipitation and natural loss: To balance the water budget, you need to subtract the natural loss from the total precipitation. This gives:
[tex]\[
40 \, m^3 - 10 \, m^3 = 30 \, m^3
\][/tex]
Therefore, the amount of water that can be pumped from the aquifer to balance the budget is [tex]\(30 m^3\)[/tex].
Hence, the correct answer is:
[tex]\[
30 \, m^3
\][/tex]
