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3 years ago

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Mr. Leonard took a job through an employment agency. the job pays $88k per year. He must pay fee to the employment agency the fe

e is 22% of his first four week's pay. how much money must Mr. Leonard pay the agency, to the nearest cent?

1 answer:

kolezko [41]3 years ago

7 0

4000
not 100 percent sure

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What is the coefficient of x2y3 in the expansion of (2x + y)5?

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Option C:

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$$=\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}+\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1}+\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}+\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}$

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Let us solve the term one by one.

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$$\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}= 80 x^{3} y^{2}$

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$$\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}= 10 x y^{4}$

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Substitute these into the above expansion.

$(2x+y)^5=32 x^{5}+80 x^{4} y+80 x^{3} y^{2}+40 x^{2} y^{3}+10 x y^{4}+y^{5}$

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