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angoliabirtio
14.06.2020 •
Mathematics
The population in Kingstown decreases by 30% each month. By what percent did the original population decrease after 2 months? A. 40% B. 49% C. 51% D. 60%
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Ответ:
C. 51%
Step-by-step explanation:
Let P represent the original population.
Given that the population decreases by 30% monthly
After one month P would have decreased
P - 30%P = P(1 - 0.3)
The population at time t months can be written as;
P(t) = P(1 - 0.3)^t
P(t) = P(0.7)^t
For t = 2 months
P(2) = P(0.7)^2
P(2) = P(0.49)
P(2) = 49% of P
Therefore, the population have decreased by
∆P = P - P(2) = P - 49% of P = P(100% - 49%)
∆P = 51% of P
The population have decreased 51%
Ответ: