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What single decimal multiplier would you use to decrease by 1% followed by a 4% increase?

Respuesta :

Answer:

The single decimal multiplier is 1.0296.

Step-by-step explanation:

Multipliers:

For a decrease of a%, we multiply by: [tex]\frac{100-a}{100}[/tex]

For a increase of a%, we multiply by: [tex]\frac{100+a}{100}[/tex]

For consecutive changes, we multiply the multipliers.

Decrease of 1%

Multiplication by [tex]\frac{100-1}{100} = \frac{99}{100} = 0.99[/tex]

Increase of 4%

Multiplication by [tex]\frac{100+4}{100} = \frac{104}{100} = 1.04[/tex]

Consecutive:

0.99*1.04 = 1.0296

The single decimal multiplier is 1.0296.