SOLUTION: The value of gold fluctuates over the next 4 years. It increases by 10%, decreases by 10%, increases by 10% and then finally decreases by 10%. Find the percentage change over 4 y

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The value of gold fluctuates over the next 4 years. It increases by 10%, decreases by 10%, increases by 10% and then finally decreases by 10%. Find the percentage change over 4 y      Log On


   

Question 1098806: The value of gold fluctuates over the next 4 years. It increases by 10%, decreases by
10%, increases by 10% and then finally decreases by 10%. Find the percentage change
over 4 years. 3
(hint Let x be the initial value of gold)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
A reduction of loosing 10% means, keeping 90%.
An increase of 10% means, factor of 1.10.

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increases by 10%, decreases by
10%, increases by 10% and then finally decreases by 10%.
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x%2A1.10%2A0.9%2A1.10%2A0.9

x%2A%281.1%29%5E2%2A%280.9%29%5E2

x%2A1.21%2A0.81

0.9801x

About a 2% decrease in value