Answer:
A general line is written as:
y = a*x + b
where:
a is the slope
b is the y-intercept.
a) y-intercept = 2 and slope = 7.
This line is:
y = 7*x + 2
b) y-intercept = -1 and is parallel to y= 5x - 7.
Now, if two linear equations are parallel if they have the same slope and different y-intercept. Then if we want a line parallel to y= 5x - 7, this means that the slope of this line must also be equal to 5.
y = 5*x + (-1)
c) y-intercept 2 and is inclined at 45° to the x- axis.
When we have an inclination of A degrees from the x-axis, the slope of the equation is given by: a = Tan(A)
In this case, we have A = 45°
Then the slope is a = Tan(45°) = 1
Then the equation of this line is:
y = 1*x + 2
4% = 0.04
multiply percent by sales to get total commission:
2,880 * 0.04 = 115.20
add that to her base pay:
275 + 115.20 = $390.20 total earned
Answer:
The slope of a line parallel to this line will be: -7/9
The slope of the perpendicular line will be:
Step-by-step explanation:
We know the slope-intercept form
Here,
Given the equation
simplifying to write in the lope-intercept form
Thus, the slope of the line is: -7/9
The slope of a line parallel to the line:
We have already determined that the slope of the line is: -7/9
- We know that the parallel lines have the same slope.
Thus, the slope of a line parallel to this line will be: -7/9
The slope of a line perpendicular to the line:
We have already determined that the slope of the line is: -7/9
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.
Thus, the slope of the perpendicular line will be:
Just borrow from the 7 and take the 1 to the 2 and that will make it as 12 so then you subtract 12 - 4 and the answer will be 1,180
Answer:
<em>The company needs to sell 40 desks to break even</em>
Step-by-step explanation:
<u>Application of Equations</u>
There is virtually no limit to the possible situations where equations can help to find the solution of specific problems related to areas like economy, where one could need to establish some important indicators about the business.
B. The fixed cost for Abstract Office Supplies to sell a new computer desk is $14,000. Each desk will cost $150 to produce. The cost function to produce X desks is
C(x)=150x+14,000
A. The revenue for each desk is estimated at $500, for X desks will be
R(x)=500x
C. The company will break even when the cost and the revenue are the same. We'll find how many desks need to be sold for that to happen. We equate
C(x)=R(x)
Or equivalently
150x+14,000=500x
Rearranging
500x-150x=14,000
350x=14,000
Solving for x
x=14,000/350= 40
The company needs to sell 40 desks to break even
