Question 101292This question is from textbook Algebra 2 with Trigonometry
: hey could you please help me with this question : "The yearly changes in the population of a city for three consecutive years are, respectively, 20% increase, 30% increase, and 20% decrease.What is the total percent change from the beginning to the end of the third year?"
i will appreciate your help, my math teacher refused to help....if you could give me other examples it would be great. it can be other type of problem,
thank you!
This question is from textbook Algebra 2 with Trigonometry
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! "The yearly changes in the population of a city for three consecutive years are, respectively, 20% increase, 30% increase, and 20% decrease.What is the total percent change from the beginning to the end of the third year?"
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Let the population start at "x".
After a 20% increase the population is 1.20x
After a 30% increase the population is (1.30)[1.20x]
After a 20% decrease the population is (0.80)(1.30)[1.20x = 1.248x
That would be a gain of 24.8%
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Cheers,
Stan H."The yearly changes in the population of a city for three consecutive years are, respectively, 20% increase, 30% increase, and 20% decrease.What is the total percent change from the beginning to the end of the third year?"
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