The appropriate real-world problem that could be solved with the sum \(102.50 + (-39.95)\) is:
Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?
In this case, \(102.50\) represents the money Nevaeh earned, and \(-39.95\) represents the money he spent. The calculation \(102.50 + (-39.95)\) effectively subtracts the amount spent from the amount earned, allowing us to find out how much money Nevaeh has left after his purchase.