To find the value decrease per month, we need to divide the total decrease in value by the number of months. The total decrease in value is $2,500 and the number of months is 6.
We can set up the division as follows:
\[ \text{Decrease per month} = \frac{\text{Total decrease}}{\text{Number of months}} = \frac{2500}{6} \]
Now, we can perform the division:
\[ 2500 \div 6 \approx 416.6667 \]
To round this to the nearest hundredth, we consider the third decimal place (6), which leads us to round up:
So, \(416.6667\) rounded to the nearest hundredth is \(416.67\).
Thus, the value decreases by approximately $416.67 per month.