To determine how much water can be pumped from the aquifer to balance the budget, we start by analyzing the given data:
1. The aquifer receives [tex]\(40 \, m^3\)[/tex] of precipitation.
2. The aquifer loses [tex]\(10 \, m^3\)[/tex] of water through natural movement.
To balance the water budget, the amount of water that can be pumped from the aquifer should be equal to the net water available after accounting for these losses. This is calculated as follows:
[tex]\[
\text{Water that can be pumped} = \text{Precipitation} - \text{Natural movement loss}
\][/tex]
Substituting the given values:
[tex]\[
\text{Water that can be pumped} = 40 \, m^3 - 10 \, m^3
\][/tex]
[tex]\[
\text{Water that can be pumped} = 30 \, m^3
\][/tex]
Therefore, the amount of water that can be pumped from the aquifer to balance the budget is [tex]\(30 \, m^3\)[/tex].
Among the given options, the correct answer is:
[tex]\[
\boxed{30 \, m^3}
\][/tex]
