Given that the cubical piece has side (s) 7 mm, and a cylindrical hole of diameter (d) as 3 mm.
The volume of the piece can be calculated as,
![\begin{gathered} \text{Volume of piece}=\text{ Volume of cube}-\text{ Volume of cylinder} \\ V=s^3-\frac{\pi}{4}d^2s \\ V=7^3-\frac{\pi}{4}(3)^2(7) \\ V=343-\frac{63\pi}{4} \\ V\approx293.52mm^3 \\ V\approx293.52\times10^{-9}\text{ }m^3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BVolume%20of%20piece%7D%3D%5Ctext%7B%20Volume%20of%20cube%7D-%5Ctext%7B%20Volume%20of%20cylinder%7D%20%5C%5C%20V%3Ds%5E3-%5Cfrac%7B%5Cpi%7D%7B4%7Dd%5E2s%20%5C%5C%20V%3D7%5E3-%5Cfrac%7B%5Cpi%7D%7B4%7D%283%29%5E2%287%29%20%5C%5C%20V%3D343-%5Cfrac%7B63%5Cpi%7D%7B4%7D%20%5C%5C%20V%5Capprox293.52mm%5E3%20%5C%5C%20V%5Capprox293.52%5Ctimes10%5E%7B-9%7D%5Ctext%7B%20%7Dm%5E3%20%5Cend%7Bgathered%7D)
It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,
![\begin{gathered} \text{Cost of 1 piece}=\text{ Cost per unit volume}\times\text{ Volume of 1 piece} \\ c=207\times293.52\times10^{-9} \\ c\approx60758.64\times10^{-9} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BCost%20of%201%20piece%7D%3D%5Ctext%7B%20Cost%20per%20unit%20volume%7D%5Ctimes%5Ctext%7B%20Volume%20of%201%20piece%7D%20%5C%5C%20c%3D207%5Ctimes293.52%5Ctimes10%5E%7B-9%7D%20%5C%5C%20c%5Capprox60758.64%5Ctimes10%5E%7B-9%7D%20%5Cend%7Bgathered%7D)
This is the cost (in dollars) for 1 piece.
Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,
![\begin{gathered} \text{Total Cost}=\text{ Cost per piece}\times\text{ No. of pieces} \\ TC=60758.64\times10^{-9}\times1,000,000 \\ TC=60758.64\times10^{-9}\times10^6 \\ TC=60758.64\times10^{-3} \\ TC=60.75864 \\ TC\approx60.75 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BTotal%20Cost%7D%3D%5Ctext%7B%20Cost%20per%20piece%7D%5Ctimes%5Ctext%7B%20No.%20of%20pieces%7D%20%5C%5C%20TC%3D60758.64%5Ctimes10%5E%7B-9%7D%5Ctimes1%2C000%2C000%20%5C%5C%20TC%3D60758.64%5Ctimes10%5E%7B-9%7D%5Ctimes10%5E6%20%5C%5C%20TC%3D60758.64%5Ctimes10%5E%7B-3%7D%20%5C%5C%20TC%3D60.75864%20%5C%5C%20TC%5Capprox60.75%20%5Cend%7Bgathered%7D)
Thus, the total prototypes will cost around $60.75
Answer:
3
Step-by-step explanation:
(32-20)÷4
solve perentisis first
(12)÷4
now divide
=3
Answer:
Since you didn't give me any choices I can tell you that c is ANY ODD NUMBER THAT EXISTS.
Step-by-step explanation:
im smart ツ
Answer:
1)
.
2)
years
Step-by-step explanation:
Let Hanna's sister be
years old.
Then Hanna will be
years old.
The sum of their ages will be
years.
The statement "no more than 18" means the sum of their ages is less than or equal to 18.
The required inequality is;
.
2)
The inequality we just found is
.
We simplify to get;
.
we divide both sides by
to get;
.
Therefore the oldest age Hannah's sister can be is
years