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DaniilM [7]
2 years ago
13

Chris used an employment agency to get a job. The job pays $38K per year. He must pay a fee of 32% of the first four weeks pay.

How much must he pay?
Mathematics
1 answer:
GarryVolchara [31]2 years ago
5 0

Answer:

$935.39

Step-by-step explanation:

Annual salary is 38,000 per year which has 52 weeks so the weekly pay is 38000:52

The amount he earns in 4 weeks is 4(38000):52

The fee is 0.32 times 4(38000)/52 = 935.39

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Mandy Lee is making a sandbox for her children. She has made a wooden frame for her backyard that is 7 feet long, 6 feet wide, a
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Andrea is making a sandbox.She has made a wooden frame in her backyard that is 6 feet long, 6 feet wide, and 2 feet deep. She can purchase sand for $30 per cubic meter. How much will it cost for her to purchase sand? Hint: 1 foot equals 0.3048 meters.

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The vertex of the graph of f(x) = |x – 3| + 6 is located at ( , ).
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The vertex would be at (3, 6).

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3 years ago
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What are the ordered pairs of the
9966 [12]

Start by writing the system down, I will use y to represent f(x)

y=x^2-5x+3\wedge y=-3

Substitute the fact that y=-3 into the first equation to get,

-3=x^2-5x+3

Simplify into a quadratic form (ax^2+bx+c=0),

x^2-5x+6=0

Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

x^2+x(m+n)+mn=0

which then must factor into

(x+m)(x+n)=0

And the solutions will be m,n.

Clearly for small coefficients like ours 5,6, this is very easy to figure out. To get 5 and 6 we simply say that m=3, n=2.

This fits the definition as 5=3+2 and 6=2\cdot3.

So as mentioned, solutions will equal to m=3, n=2 but these are just x-values in the solution pairs of a form (x,y).

To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.

So the solution pairs are (2,0) and (3,0).

Hope this helps :)

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2 years ago
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