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  3. The monthly enrollment at a preschool decreased by 8% during one month and incre

The monthly enrollment at a preschool decreased by 8% during one month and incre

游客2024-01-12  55
问题 The monthly enrollment at a preschool decreased by 8% during one month and increased by 6% during the next month. What was the cumulative percent change for the two months?
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答案 2.48%
解析 If E is the enrollment before the first month, then the enrollment as a result of the 8% decrease can be found by multiplying the base E by the decimal equivalent of 100% - 8% = 92%, which is 0.92:
0.92E
The enrollment as a result of the second percent change—the 6% increase—can be found by multiplying the new base 0.92E by the decimal equivalent of 100% + 6% = 106%, which is 1.06:
(1.06)(0.92)E = 0.9752E
The percent equivalent of 0.9752 is 97.52%, which is 2.48% less than 100%. Thus, the cumulative percent change in the enrollment for the two months is a 2.48% decrease.
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