Replace x with the given value and solve for y:
y = 4.009(325) - 77.531
y = 1302.925 - 77.531
y = 1225.394
Round to the nearest dollar to get
C) $1225
Answer:
In order to maximize profit of $3700 we need to produce 50 units of Chairs and 9 units of Sofa
Step-by-step explanation:
Let X be the number of units of Chairs produced and Y be the number of units of Sofa to be produced
wood foam rubber square yards of material Selling Price
Chairs 20X 1X 2X = $20X
<u>Sofa 100Y 50Y 20Y = $300Y</u>
1900 500 240
20x+100y=1900
x+50y=500
2x+20y=240
use equation 2 to find the value of x
x= 500-50y
Substitute value of x in equation 3
2(500-50y) + 20y= 240
1000-100y + 20y = 240
1000-240 = 100y-20y
760 = 80y
y= 9.5 ≈ 9 units ( since we can't make half of any product )
Put value of y in equation 2
x= 500- 50 ( 9)
x= 50 units
Maximize profit = 20X + 300Y
= 20(50) + 300( 9)
= $3700
Answer:
4,247.433268 yd3
Step-by-step explanation:
height x π x (diameter / 2) 2, where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is height x π x radius 2
Answer:
y = x + 3/5
Step-by-step explanation:
1. Label this function 'y': y = x - 3/5
2. Interchange x and y: x = y - 3/5
3. Solve this for y: y = x + 3/5
This last result is the inverse of the given function.
Answer:
A) x-1 < n < 3x+5
Step-by-step explanation:
The value of n can range between the sum and difference of the lengths of the other two sides. The sum is ...
(2x +2) +(x +3) = 3x +5
The difference is ...
(2x +2) -(x +3) = x -1
For the purpose of choosing one of these answers, we must assume that the sum is greater than the difference and the value of x is such that x-1 > 0. Using these assumptions, possible values of n are ...
x -1 < n < 3x +5 . . . . . for x > 1
_____
<em>Alternate Solution</em>
The expressions for the given side lengths are both positive when x > -1. In the range -1 < x < 1, we have the condition that 2x+2 ranges from 0 to 4 and x+3 ranges from 2 to 4. That is (x+3) > (2x+2) and possible values of n are ...
lowest: (x+3) -(2x +2) = 1 -x
highest: (x+3) +(2x +2) = 3x +5
So, another possible solution is ...
1-x < n < 3x +5 . . . . . . . for -1 < x < 1