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
Answer:
y = (9/4)x + 2, given that I've assume the correct meaning of "-5x4."
Step-by-step explanation:
A parallel line has the same slope as the reference line,
The reference line is 9x-4y = -5x4, as written. I'm not sure the 4 belongs, but I'll assume it is written correctly. I'm not sure if the term -5x4 is meant to mean -5x^4, -20x or -20. I'll assume -20:
9x-4y = -20
Put the equation into standard slope-intercept form: Y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).
-4y = -9x - 20
y = (9/4)x + 5
This line has a slope of (9/4). The parallel line will have the same slope.
y = (9/4)x + b
We can find a value of b that would shift this line to include (4,7) by using this point in the equation:
y = (9/4)x + b
7 = (9/4)(4) + b
7 = 9 + b
b = 2
The equation of a line parallel to the reference line is y = (9/4)x + 2
Answer:
18/44
Step-by-step explanation:
To turn 9/22 into something over 44, we need to figure out what to multiply it by.
44 / 22 = 2.
Multiply 9/22 by 2:
9/22 * 2 = 18/44
Answer:
y=1/4x-2.25
Step-by-step explanation:
Add x to both sides to get y alone.
Then divide both sides by 4, dividing both the variable and constant on the right side.
