english maths problem

2013-03-04 11:25 pm
high school problem

the value of gold fluctuated so that in four consecutive years it increased 10%
,increased 10%,decreased 10%,decreased 10%

a) find the actually changed over the four years
b) find the percentage change over the four years

回答 (1)

2013-03-06 2:55 am
✔ 最佳答案
你好~~~

以下是本人的意見,供參考~~~

Let the value of the gold be $y.

a) The final value of that gold

= y * (1 + 10%) * (1 + 10%) * (1 - 10%) * (1 - 10%)

= y * 1.1 * 1.1 * 0.9 * 0.9

= y * 0.9801

= 0.9801y

So, the actual change of the gold is decreased by 1.99%.

b) The percentage change

= (0.9801y - y) / y * 100%

= -1.99%

希望可以幫到你~~~~~
參考: Yogi


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