Step 1 :Given that the original value of the truck is \$33,700 and it depreciates at a rate of 11.1% each year.
Step 2 :To find the depreciation amount for the first year, we multiply the original value by the depreciation rate. This is calculated as \(33700 \times 0.111 = 3740.70\).
Step 3 :Subtract the depreciation from the original value to find the value of the truck after 1 year. This is calculated as \(33700 - 3740.70 = 29959.30\).
Step 4 :\(\boxed{29959.30}\) is the value of the truck after 1 year of depreciation.