Using linear functions, we have that:
A.
For Company A: 
For Company B: 
B. The salaries will be the same after 7 years.
A linear function is given by:
In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the initial value.
Item a:
- For Company A, the salary starts at $31,000, with a raise of $3,000 each year. Thus,
, and the salary after n years is given by:
- For Company B, the salary starts at $38,000, with a raise of $2,000 each year. Thus,
, and the salary after n years is given by:
Item b:
- They will be the same after n years, for which:
Then
The salaries will be the same after 7 years.
A similar problem is given at brainly.com/question/24282972
<h2>Answer:
</h2>
The coordinates of the point that makes the division in the given ratio is (0,3)
Step-by-step explanation:
Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2
We simply use the internal division formula
That would be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
m = 1 and n = 2
(x1,y1) = (4,9)
(x2,y2) = (-8,-9)
Substituting these values into the formula, we have;
2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)
= (8-8)/3 , (18-9)/3
= (0,3)
Answer:
1. 
2. 
3. 
Step-by-step explanation:
The equation of the line that passes trough the points A(14,-1) and B(2,1) is
The y-intercept of this line is
Line BC is perpendicular to line AB, then its slope is 
Line BC passes through the point B, so
If the y-coordinate of point C is 13, then x-coordinate is
Answer:
Step-by-step explanation:
cross multiply
57(QR)=926.9
QR=16.26...
round to nearest tenth
QR=16.3
Answer:
D
Step-by-step explanation:
Distributive property: a*(b+c) = a*b + b*c
-7(8x - 3) + x = -7*8x - 3 * (-7) + x
= -56x + 21 + x {Bring the like terms together}
= -56x + x + 21 {Now, add the like terms}
= -55x + 21
