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What single decimal multiplier would you use to increase by 7% followed by a 9% increase?​

Sagot :

MrRoyal

Answer:

[tex]Digit = 1.1663[/tex]

Step-by-step explanation:

Given

Increase by 7% followed by a 9% increase

Required

Represent by a single decimal

Represent 7% increment by x and 9% increment by y.

Increment by 7% is:

[tex]x = 1 + 7\%[/tex]

Express as decimal

[tex]x = 1 + 0.07[/tex]

[tex]x = 1.07[/tex]

Increment by 9% is:

[tex]y = 1 + 9\%[/tex]

Express as decimal

[tex]y = 1 + 0.09[/tex]

[tex]y = 1.09[/tex]

The single digit is:

[tex]Digit = x * y[/tex]

[tex]Digit = 1.07*1.09[/tex]

[tex]Digit = 1.1663[/tex]

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