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  • 06-12-2020
  • Mathematics
contestada

What single percentage change is equivalent to a 9% increase followed by a 16%
increase?

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sqdancefan
sqdancefan sqdancefan
  • 06-12-2020

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Answer:

  an increase of 26.44%

Step-by-step explanation:

The 9% increase multiplies the value by 1 +9% = 1.09.

The 16% increase multiplies the value by 1 +16% = 1.16.

Either followed by the other will multiply the value by ...

  1.09 · 1.16 = 1.2644 = 1 + 26.44%

The effect of both increases is an increase in the original value of 26.44%.

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