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smc

prealgebra senior

Problem

The yearly changes in the population census of a town for four consecutive years are, respectively, 25% increase, 25% increase, 25% decrease, 25% decrease. The net change over the four years, to the nearest percent, is:
(A)
(B)
(C)
(D)
Solution
A 25% increase means the new population is of the original population. A 25% decrease means the new population is of the original population. Thus, after four years, the population is times the original population. Thus, the net change is -12%, so the answer is .
Final answer
A