Area = length x width
24 = (n-3) x 2
24 = 2n -6
2n = 30
n = 15
Length is 15-3 =12, width is 2
24 = 12 x 2
Answer:
$1,200
Step-by-step explanation:
Data provided in the question:
R'(x)= -0.1x + 40
now,
Revenue function = ∫R'(x)= ∫(-0.1x + 40)
or
R(x) = ![\frac{-0.1x^2}{2}+40x+c](https://tex.z-dn.net/?f=%5Cfrac%7B-0.1x%5E2%7D%7B2%7D%2B40x%2Bc)
here, c is the integration constant
also,
at x = 0, Revenue R = 0
thus,
0 = ![\frac{-0.1(0)^2}{2}+40(0)+c](https://tex.z-dn.net/?f=%5Cfrac%7B-0.1%280%29%5E2%7D%7B2%7D%2B40%280%29%2Bc)
or
c = 0
therefore,
we get the revenue function as;
R(x) = ![\frac{-0.1x^2}{2}+40x](https://tex.z-dn.net/?f=%5Cfrac%7B-0.1x%5E2%7D%7B2%7D%2B40x)
a) For x = 230 units
R(230) = ![\frac{-0.1(230)^2}{2}+40(230)](https://tex.z-dn.net/?f=%5Cfrac%7B-0.1%28230%29%5E2%7D%7B2%7D%2B40%28230%29)
or
R(230) = - 2645 + 9200 = $6,555
b) R(330) = ![\frac{-0.1(330)^2}{2}+40(330)](https://tex.z-dn.net/?f=%5Cfrac%7B-0.1%28330%29%5E2%7D%7B2%7D%2B40%28330%29)
or
R(330) = -5445 + 13,200 = $7,755
Hence,
the addition evenue realized when the production (and sales) level is increased from 230 to 330 units
= $7,755 - $6,555
= $1,200
1/2 + 1/3 = 3/6 + 2/6 = 5/6.....so 5/6 of the total marbles are red and white.
That means 1/6 are blue. So if 6 are blue, then 1/6 of the total marbles = 6
1/6x = 6
x = 6 * 6/1
x = 36.....there are 36 total marbles
1/2 are red.....so 1/2(36) = 36/2 = 18 are red
1/3 are white......1/3(36) = 36/3 = 12 are white
and 6 are blue.
14 - x = 21
First, subtract 14 from both sides. / Your problem should look like: -x = 21 - 14
Second, simplify 21 - 14 to get 7. / Your problem should look like: -x = 7
Third, multiply both sides by -1. / Your problem should look like: x = -7
Answer: x = -7
Answer:
The slope of the line is 2.
Step-by-step explanation:
Slope of a line:
Suppose that we have two points. The slope of the line is given by the change in y divided by the change in x.
In this question:
Points (0,0) and (1,2)
Change in y: 2 - 0 = 2
Change in x: 1 - 0 = 1
Slope: ![m = \frac{2}{1} = 2](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B2%7D%7B1%7D%20%3D%202)
The slope of the line is 2.