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Rewrite the expression using the GCF and the distributive property (39+91)
David pays a 20% income tax on his 2,100 month salary. How much does he pay in taxes each year?
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frika

Answer:

1. [tex]13\cdot (3+7)[/tex]

2. $2,520

Step-by-step explanation:

1. Given numbers 39 and 91. Factorize them:

[tex]39=3\cdot 13\\ \\91=7\cdot 13,[/tex]

then

[tex]GCF(39,91)=13[/tex]

Use distributive property:

[tex]39+91=3\cdot 13+7\cdot 13=13\cdot (3+7)[/tex]

2. Month salary = $2,100

To find 10% of $2,100, just multiply $2,100 by 0.1 (because 10% is 0.1 as decimal):

[tex]\$2,100\cdot 0.1=\$210[/tex]

$210 is the monthly tax, then the year tax is

[tex]\$210\cdot 12=\$2,520[/tex]

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