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,
It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,
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,
Thus, the total prototypes will cost around $60.75
To calculate the remaining caffeine, we use the radioactive decay formula which is expressed as An = Aoe^-kt where An is the amount left after t time, Ao is the initial amount and k is a constant we can calculate from the half-life information. We do as follows:
at half-life,
ln 1/2 = -k(6)
k = 0.12/hr
An = 80e^-0.12(14)
An = 15.87 mg
Answer:
Step-by-step explanation:
From the problem statement, we can setup the following equations:
where 
is the current age of Shobos and 
is the current age of his mother.
Substituting the first equation into the second will allow us to solve for :
Substituting this value into the first equation gives us the age of the mother:
<h2>Answer:</h2><h2>47.25</h2><h2 /><h2>Hope this helps!!</h2>
Step-by-step explanation:
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