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antiseptic1488 [7]

3 years ago

9

Sarah bought 18 boxes of 65 pens at $12 a box. She sold 378 of them at 3 for $1.00 and the rest at 4 for $1.00. Find her total p

rofit.

1 answer:

ziro4ka [17]3 years ago

8 0

Answer:

108!

Step-by-step explanation:

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Im caca at math please help!

Diano4ka-milaya [45]

Answer:

Option B) $\frac{1}{6}$ Inches

Step-by-step explanation:

Maria's Centipede = $1\frac{1}{12}$ inches = $\frac{13}{12}$ inches

Jerome Centipede = $\frac{11}{12}$

<u><em>To see how much longer Maria's centipede was than Jerome's, we'll subtract the two:</em></u>

=> $\frac{13}{12} -\frac{11}{12}$

=> $\frac{13-11}{12}$

=> $\frac{2}{12}$ inches

=> $\frac{1}{6}$ Inches

4 0

3 years ago

What is the value of x?

ddd [48]

Answer:

45

Step-by-step explanation:

3x+x has to add up to 180

3x+x=180

4x/4=180/4

x=45

6 0

3 years ago

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2 years ago

An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co

Blizzard [7]

Answer:

$(a)$ $C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ $x=82 \text{planes}$

$(c)$ $p=\$30.91 M\;\; \text{per plane}$

$(d)$ maximum profit $=\$ 15.90M$

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

$m(x)=20x-5x^{\frac{3}{4}}+0.01x^2$

$(a)$ Find the cost, demand (or price), and revenue functions.

$C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ Find the production level that maximizes profit.

$f=R(x)-C(x)$

$\Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)$

$\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx$

$x=320-7.7p$

$p=\frac{320-x}{7.7}$

$\frac{dp}{dx} = \frac{-1}{7.7}$

$\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0$

$\Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0$

$\Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0$

$\Rightarrow x=82 \text{planes}$

$(c)$ Find the associated selling price of the aircraft that maximizes profit.

$p=\frac{320-82}{7.7}$

$\Rightarrow p=\$30.91 M\;\; \text{per plane}$

$(d)$ Find the maximum profit.

Manufacturing cost of one plane is:

$m(1)=20-5+0.01$

$=\$15.01 M$

maximum profit $=\$(30.91-15.01)M$

$=\$15.90M$

3 0

3 years ago

What is the width of the rectangle?<br> 30y<br><br> 60y4

Bas_tet [7]

Answer:

2 y^3

Step-by-step explanation:

Area of rectangule is length * width

7 0

3 years ago