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The Ludwig Employment Agency posted a job in the advertising field. The fee is 18% of
three weeks' pay. The job pays d dollars annually. Express the agency fee algebraically.

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TaeKwonDoIsDead

Answer:

[tex]\frac{27}{2600}d[/tex]

Step-by-step explanation:

Job pays "d" dollars per year and there are 52 weeks in a year. So to find 3 weeks pay we can write:

[tex]\frac{3}{52}*d[/tex]

The agency fee is basically 18% of that. 18%, in decimal, means 0.18

Note: to get percentage to decimal, we divide by 100, so 18% means 18/100=0.18, in fraction, it is 18/100 or 9/50

THus, the fee is  [tex](\frac{9}{50})(\frac{3}{52}*d)\\=\frac{27}{2600}d[/tex]

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