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3 years ago

Find the value of 4! O A. 24 O B. 16 O C. 12 O D. 10

Mathematics

1 answer:

Alex73 [517]3 years ago

4 0

Answer:

A) 24

Step-by-step explanation:

4 x 3 x 2 x 1

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A box of volume 180 m3 with square bottom and no top is constructed out of two different materials. The cost of the bottom is $4

zysi [14]

Answer:

Side of square bottom=6.46 m

Height of box=4.31 m

Step-by-step explanation:

Let s be the side bottom

Height of box=h

Volume of box= $180m^3$

Volume of box= $lbh=s^2h$

$s^2h=180$

$h=\frac{180}{s^2}$

Cost of bottom=$40 per square m

Cost of sides =$30 per square m

Total cost= $C=40s^2+30(4sh)$

$C=40s^2+120s\times \frac{180}{s^2}$

$C(s)=40s^2+\frac{21600}{s}$

Differentiate w.r.t s

$C'(s)=80s-\frac{21600}{s^2}$

$C'(s)=0$

$80s-\frac{21600}{s^2}=0$

$80s=\frac{21600}{s^2}$

$s^3=\frac{21600}{80}=270$

$s=(270)^{\frac{1}{3}}=6.46$

Again,differentiate w.r.t s

$C''(s)=80+\frac{43200}{s^3}$

Substitute s=6.46

$C''(6.46)=80+\frac{43200}{(6.46)^3}=240.2>0$

Hence, the cost is minimum at s=6.46

$h=\frac{180}{s^2}=\frac{180}{(6.46)^2}=4.31$

Side of square bottom=6.46 m

Height of box=4.31 m

5 0

3 years ago

Question number 1 You are comparing the costs of producing jewelry at two different manufacturers. Company 1 charges $3.25 per p

Assoli18 [71]

The value of x at equal total cost is 266.67

Here, we want to solve the equation to get the x-value that shows the total costs for the two companies are equal

We proceed as follows;

$\begin{gathered} 3.25x\text{ + 400 = 2.50x + 600} \\ 3.25x-2.50x\text{ = 600-400} \\ \\ 0.75x\text{ = 200} \\ \\ x\text{ = }\frac{200}{0.75} \\ x\text{ = 266.67} \end{gathered}$

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timofeeve [1]

Answer: A,B and d

Cause i have a brain

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yulyashka [42]

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