Question

From 2006 to 2010, the population of a town declined to 22,000. The population is expected to continue to decline at a rate of 2.8% each year.

20 POINTS PLEASE HELP
What will the population be in 2040?

Round to the nearest whole number.



Enter your answer in the box.

Answer 1

i took the test and the answer was 9384

Answer 2

Answer: 9384

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In the year 2010, the population is P = 22000 which is the starting population. The rate is r = -0.028 indicating a decrease of 2.8% annually

A = P*(1+r)^t

A = 22000*(1+(-0.028))^t

A = 22000*(1-0.028)^t

A = 22000*(0.972)^t

Now plug in t = 30 to compute the population in the year 2040 (which is 30 years after 2010)

A = 22000*(0.972)^30

A = 22000*0.42656768

A = 9384.48896

A = 9384 .... rounding to the nearest whole number