210 pieces
Step-by-step explanation:
First, you need to figure out how many pieces a single machine can cut in a minute, so you need to divide 105 by 3, which gets you 35 pieces per minute.
Next, since we know there are 6 machines, and one machine canncut 35 pieces per minute, we can the figure out how many pieces all 6 cutting machines can cut in 1 minute. You would do this by making an equation such as this:
The x represents the total number of pieces cut by all 6 machines in one minute.
Next, since we now have an equation, we can go ahead and solve it. We would multiply 35 by 6, which would get us 210 pieces per minute that can be cut by all six machines
C(x) = 400 + 20x - 0.2x²
c(30) = 400 + 20(30) - 0.2(30)²
= 400 + 600 - 0.2(900)
= 1000 - 180
= 820
It costs $820 when 30 radios are produced.
Marginal cost is how much it would cost to make one MORE of the same product so now we find how much it costs to produce 31 radios and compare the two.
c(31) = 400 + 20(31) - 0.2(31)²
= 400 + 620 - 0.2(961)
= 1020 - 192.2
= 827.8 or ≈828.
Now we find the difference which means we subtract the two.
828 - 820 = 8.
Your marginal cost is $8.
To compare we can also do 29 radios.
c(29) = 400 + 20(29) - 0.2(29)² = 811.8 or ≈812
820 - 812 = 8.
Complete the equation of the line through (-6,-5)(−6,−5)(, minus, 6, comma, minus, 5, )and (-4,-4)(−4,−4)(, minus, 4, comma, min
alina1380 [7]
Answer:
Step-by-step explanation:
We have been given two points on a line 
and 
. We are asked to write an equation passing through these points.
We will write our equation in slope-intercept form of equation 
, where,
m = Slope of line,
b = Initial value or the y-intercept.
Let us find slope of given line using slope formula.
Let point 
and point 
.
Now, we will substitute and coordinates of point in slope-intercept form of equation as:
Upon substituting and 
in slope-intercept form of equation, we will get our required equation as:
Therefore, our required equation would be .
Answer:
5/7
Step-by-step explanation:
y2-y1/x2 -x1
3 - (-2)/9-2
3+2/9-2
5/7
1) $450/12=$37.50
2)$37.50x3=$112.50
The answer is: $112.50
I hope this helps
