SOLUTION: Home values in a town have declined 27 % per year for each of the past four years. What was the total percentage decrease in home values during the​ four-year period?

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Question 1206356: Home values in a town have declined 27 % per year for each of the past four years. What was the total percentage decrease in home values during the​ four-year period?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
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Answer by ikleyn(52926) About Me  (Show Source):
You can put this solution on YOUR website!
.
Home values in a town have declined 27 % per year for each of the past four years.
What was the total percentage decrease in home values during the​ four-year period?
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        The solution in the post by @josgarithmetic,  giving the answer   " PerCent Decrease, 100%281-0.27%5E4%29 "
        is  INCORRECT  and  TOTALLY  WRONG.

        I came to bring you a correct solution and a correct answer.  See below


Home values at the beginning       1 


Home values in one year after      (1-0.27)

Home values in two years after     %281-0.27%29%5E2

Home values in three years after   %281-0.27%29%5E3

Home values in four  years after   %281-0.27%29%5E4 = 0.2840,  or  28.4%  (rounded).


The total percentage decrease in 4 years is 100% - 28.4% = 71.6%, rounded.

Solved  (correctly).