The population of a center town increases by 50% every 50 years. If the population in 1959 was 810, in what year was the population 160?

The population of a center town increases by 50% every 50 years. If the population in 1959 was 810, in what year was the population 160? Correct Answer 1750

C = P (1 + r)n 810 = 160 (1 + 0.5)n 810/160 = 1.5n (3/2)4 = (3/2)n So, n = 4. Therefore, the population of the city was 160 at the year which was 4 cycles of 50 years before 1959. So, the year is 1959 - (4 x 50) = 1759 which brings us to the nearest optipn 1750.
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