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swat32
3 years ago
8

Jennifer needs to make an average of at least $350 per week. If she makes $385, $326, and $298 for the first 3 weeks of the mont

h, how much must she earn during the fourth week to end up with an average of at least $350 per week for this month?
Mathematics
1 answer:
ella [17]3 years ago
8 0
385 + 326 + 298 = 1,009 / 3 = 336.33

385 + 326 + 298 + x = 350

350 x 4 = 1,400
1,400 - 1,009 = 391

385 + 326 + 298 + 391 = 1,400 / 4 = 350


The answer is $391
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maks197457 [2]
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u=8+2x\implies \cfrac{du}{dx}=2\implies \cfrac{du}{2}=dx\\\\
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\bf \displaystyle \int\limits_{0}^{28}\ \cfrac{1}{\sqrt[3]{u^2}}\cdot \cfrac{du}{2}\implies \cfrac{1}{2}\int\limits_{0}^{28}\ u^{-\frac{2}{3}}\cdot du\impliedby 
\begin{array}{llll}
\textit{now let's change the bounds}\\
\textit{by using } u(x)
\end{array}\\\\
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u(0)=8+2(0)\implies u(0)=8
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u(28)=8+2(28)\implies u(28)=64

\bf \\\\
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\displaystyle  \cfrac{1}{2}\int\limits_{8}^{64}\ u^{-\frac{2}{3}}\cdot du\implies \cfrac{1}{2}\cdot \cfrac{u^{\frac{1}{3}}}{\frac{1}{3}}\implies \left. \cfrac{3\sqrt[3]{u}}{2} \right]_8^{64}
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\left[ \cfrac{3\sqrt[3]{(2^2)^3}}{2} \right]-\left[ \cfrac{3\sqrt[3]{2^3}}{2}  \right]\implies \cfrac{12}{2}-\cfrac{6}{2}\implies 6-3\implies 3
3 0
3 years ago
Jaime earned some money mowing the neighbor's lawn. He spent one-fourth of his money to take his friends to see a movie. Then he
steposvetlana [31]

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3 years ago
What is the solution to the following system?<br> X+2y+z=9<br> X-y+3z=13<br> 2z=10
Vinvika [58]

Answer:  x = 0; y = 2; z = 5

Step-by-step explanation:

x+2y+z=9

x-y+3z=13

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==

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Let's rewrite the second equation with 1) z=5, and 2) rearrange to find x:

x-y+3z = 13

x - y +3*5 = 13

x = y-2

Now use the values for x [(y-2)] and y [5] in the first equation:

X+2y+z=9

(y-2) +2y + 5 = 9

3y +3 = 9

3y = 6

y = 2

Now that we have y [2] and z [5], let's use the first equation to solve for x:

x+2y+z=9

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x + 9 = 9

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====

Try the three values (x=0, y=2, and z=5) in any of the formulas.  The result should/will equal the number shown.

5 0
3 years ago
Distribute -(-4v+6.3w-9.8)
Firdavs [7]

Answer:

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Basically it's switching the signs

Hope that helped :)

3 0
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In a survey of 22,000 people, 14,300 responded that salary was the most important consideration in their ideal career. What perc
Nat2105 [25]
(14,300 x 100) / 22,000 = 65%
100% - 65% = 35%
5 0
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