To determine how much water can be pumped from the aquifer to balance the budget, we need to consider the given data:
1. The aquifer receives [tex]\( 40 \, \text{m}^3 \)[/tex] of precipitation.
2. The aquifer loses [tex]\( 10 \, \text{m}^3 \)[/tex] of water through natural movement.
The key to solving this problem is to find the net amount of water available for pumping. This is calculated by subtracting the natural loss from the precipitation received. Here are the steps:
1. Start with the total precipitation received by the aquifer:
[tex]\[
\text{Precipitation} = 40 \, \text{m}^3
\][/tex]
2. Subtract the volume of water lost through natural movement:
[tex]\[
\text{Natural Loss} = 10 \, \text{m}^3
\][/tex]
3. Calculate the net water available for pumping by subtracting the natural loss from the precipitation:
[tex]\[
\text{Water Pumped} = 40 \, \text{m}^3 - 10 \, \text{m}^3 = 30 \, \text{m}^3
\][/tex]
So, the amount of water that can be pumped from the aquifer to balance the budget is [tex]\( 30 \, \text{m}^3 \)[/tex].
Therefore, the correct answer is:
[tex]\[ 30 \, \text{m}^3 \][/tex]
