Predict what might happen to a population that is experiencing little immigration and emigration, low birth rate, and high death rate.

Based on what you described, they would experience a decrease in population. With immigration and emigration balanced, that means that the number of available work force would not change, and with low birth rates and a high death rates, that means that more people would die than be born, which would mean that there would be no work force and no people alive, which means the country would experience a decrease in population on a large scale.