To find out how much water can be pumped from the aquifer to balance the budget, let's consider the information given:
1. The aquifer receives [tex]\(40 \, \text{m}^3\)[/tex] of precipitation.
2. It loses [tex]\(10 \, \text{m}^3\)[/tex] of water due to natural movement.
Balancing the budget means that the amount of water pumped from the aquifer should equal the surplus of water after accounting for losses.
Here are the steps to determine the amount of water that can be pumped:
1. Start with the total precipitation:
[tex]\[
\text{Total Precipitation} = 40 \, \text{m}^3
\][/tex]
2. Subtract the natural losses from the total precipitation to find the available water:
[tex]\[
\text{Available Water} = 40 \, \text{m}^3 - 10 \, \text{m}^3 = 30 \, \text{m}^3
\][/tex]
Thus, the amount of water that can be pumped from the aquifer to balance the budget is [tex]\(30 \, \text{m}^3\)[/tex].
So the correct answer is [tex]\(30 \, \text{m}^3\)[/tex].
