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Verdich [7]
2 years ago
9

A company makes pens. They sell each pen for $9.

Mathematics
1 answer:
Allisa [31]2 years ago
5 0

(a) The profit when the company sold 1000 pens is -1000.

(b) The number of pens that are required to sell in the break-even is 1167.

(a)

The profit when the company sold 1000 pens is

P = R - C

= 9x - (3x + 7000)

= (9 × 1000) - (3 × 1000 + 7000)

= 9000 - (3000 + 7000)

= 9000 - 10000

= -1000

(b)

The number of pens that are required to sell in the break-even is

R = C

9x = 3x + 7000

9x - 3x = 7000

6x = 7000

x = 1167

Therefore we can conclude that:

(a) The profit when the company sold 1000 pens is -1000.

(b) The number of pens that are required to sell in the break-even is 1167.

Learn more: brainly.com/question/15036999

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What is the diameter of the cylinder
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<h3><u>Explamation </u><u>:</u></h3>

<em><u>Given </u></em><em><u>:</u></em><em><u>-</u></em>

  • Volume of cylinder = 245π cubic units
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<em><u>To </u></em><em><u>Find </u></em><em><u>:</u></em><em><u>-</u></em>

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<em><u>Solution </u></em><em><u>:</u></em><em><u>-</u></em>

<em>Firstly </em><em>lets </em><em>calculate </em><em>radius </em><em>of </em><em>cylinder </em><em>by </em><em>using </em><em>formula </em><em>of </em><em>volume </em><em>of </em><em>cylinder,</em><em> </em><em>as </em><em>we </em><em>know </em><em>that;</em>

  • Volume of cylinder = πr²h

<em>Putting </em><em>all </em><em>values </em><em>we </em><em>get;</em>

➸ 245π = π × r² × 5

<em>By </em><em>cutting </em><em>'π' </em><em>with </em><em>'π' </em><em>we </em><em>get;</em>

➸ 245 = r² × 5

➸ 245/5 = r²

➸ 49 = r²

➸ √(49) = r²

➸ √(<u>7</u><u> </u><u>×</u><u> </u><u>7</u><u>)</u> = r²

➸ 7 = r

➸ r = 7 units

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<em>Now </em><em>lets </em><em>calculate </em><em>its </em><em>diameter,</em><em> </em><em>as </em><em>we </em><em>know </em><em>that;</em>

  • Diameter = Radius × 2

<em>Putting </em><em>all </em><em>values </em><em>we </em><em>get;</em>

➸ Diameter = 7 × 2

➸ Diameter = 14 units

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Based on the SSS similarity theorem, the pair of triangles that can be proven to be similar is the pair shown in the image attached below.

<h3>What is the SSS Similarity Theorem?</h3>

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\large\underline{\sf{Solution-}}

\textsf{Given expression;}\\

\rm{23 =  \frac{7}{9}(6x - 36) + 9 } \\

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\rm{\longmapsto} \: 23 =  \frac{(42x - 256 + 81)}{9}  \\

\rm{\longmapsto} \: 23 =  \frac{(42x - 175)}{9}  \\

\rm{\longmapsto} \:  \frac{23}{1}  =  \frac{(42x - 175)}{9}  \\

\textsf{By doing cross multiplication, we get}\\

\rm{\longmapsto}23(9) = 1(42x - 175) \\

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\rm \therefore \: x =  -  \frac{375}{42}  \\

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