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What single decimal multiplier would you use to increase by 5% followed by a 20% increase?

Respuesta :

Answer:

The single decimal multiplier is 1.26.

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.

Increase of 5%

Multiply by [tex]\frac{100+5}{100} = \frac{105}{100} = 1.05[/tex]

Increase of 20%

Multiply by [tex]\frac{100+20}{100} = \frac{120}{100} = 1.2[/tex]

Consecutive:

1.05*1.2 = 1.26

The single decimal multiplier is 1.26.