in 2000, the U.S. had 281 million people. In 2008, it was 305 million. What is the rate of populationchange per year? help plz
This is a compound problem: A = P(1 + r)t
A = final amount = 305 million P = beginning amount = 281 million
r = rate per year (as a decimal) t = number of years = 8 years
---> 305,000,000 = 281,000,000(1 + r)8
Divide both sides by 281,000,000
---> 1.4663 = (1 + r)8
Now, find the 8th root of both sides:
---> 1.0103 = 1 + r
Subtract 1 from both sides:
---> r = 0.0103 ---> r = 1.03%
This is a compound problem: A = P(1 + r)t
A = final amount = 305 million P = beginning amount = 281 million
r = rate per year (as a decimal) t = number of years = 8 years
---> 305,000,000 = 281,000,000(1 + r)8
Divide both sides by 281,000,000
---> 1.4663 = (1 + r)8
Now, find the 8th root of both sides:
---> 1.0103 = 1 + r
Subtract 1 from both sides:
---> r = 0.0103 ---> r = 1.03%