Answer:
The complete question is to: <em>Find the company's break-even point for the desk. </em>
<em>Answer: </em><u><em>400 desks</em></u><em> to break-even.</em>
Step-by-step explanation:
<em>Let's let x = the number of desks.</em>
Therefore:
k(x) = 150x + 14 000 and;
q(x) = 500x
<em>In conclusion:</em>
k(x) = q(x)
150x + 14 000 = 500x
14 000 = 350x
<em>400 = x</em>
<em>400 desks should be sold for the company to break-even</em>
Answer:
wastewater and fertilizer runoff
Step-by-step explanation:
Factors such as temperature, pH electrochemical (redox) potential, and the transparency of air and water can affect the chemical and physical characteristics of ecological systems. This are as a result of activities like climate change, water contamination, and changes in water runoff.
Wastewater and fertilizer runoff causes low amount of dissolved oxygen in water, which affect biological communities and cycling thereby resulting in chemical and physical states changes.
The answer is: " 32a² − 24a − 8 " .
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Given:
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(8a − 8)(4a + 1) ; Let us expand this expression using the: "FOIL" method.
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"FOIL" stands for "<u>F</u>irst terms, <u>O</u>uter terms, <u> I</u>nner Terms, <u>L</u>ast Terms" ;
in that order.
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Basically:
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(a + b)(c + d) = ac + ad + bc + bd ;
in which the:
<u>F</u>irst term is: "ac" ;
<u>O</u>uter term is: "ad" ;
<u>I </u>nner term is: "bc" ;
<u>L</u>ast term is: "bd " .
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So; we have (given):
(8a − 8)(4a + 1) ;
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Let's take the "<u>F</u>irst, <u>O</u>uter, <u> </u><u>I</u>nner, and <u>L</u>ast terms" ; as follows:
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<u>F</u>: (8a)*(4a) = 32a² ;
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<u>O</u>: (8a)*(1) = 8a ;
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<u>I </u>: (-8)*(4a) = -32a ;
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<u>L</u>: (-8)*(1) = -8
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Now, let us write out these terms:
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32a² + 8a − 32a - 8 ;
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Now, combine the "like terms" in this expression; to simplify:
+ 8a − 32a = -24a ;
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and rewrite the simplified expression ; which is:
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32a² − 24a − 8 .
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The line from Bob to the Peak of the mountain is the hypotenuse, and Bob's distance from the center base of the mountain is one leg, and the height of the mountain is the other leg. The 23o29' angle is between the hypotenuse and the leg from Bob to the Base (16194.6 ft). The side opposite to the angle is the height of the mountain.
The relevant trig function, then, is the tangent:
Tangent x = opposite side/adjacent side
Here the adjacent side is 16,194.6 feet and the opposite side is the height of the mountain. So
Tan(23.483o) = height/(16,194.6)
Solve for the height.
I believe the answer is 764.90. 3% of 700 is 21, then add that to 700- have three percent of that- add it to the 721, find 3% of that, then three percent of that then add that to 700 :)