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:-5
Step-by-step explanation:
1)soln
Let ratios be 3x and 5x respectively
Now,
3x+5x=4800
X=600
Then
No of men=3x=1800
No of women=5x=3000
2)soln
2275/65=35min
3)soln
3x+5x=480000
X=60000
3x=180000
5x=300000
4)soln
In 1 min mario can run 900m so
In 6 min mario can run 6*900=5400m
In order to do this we need to make them both fractions, or both decimals. It's much easier to make them both decimals, as you can get

into decimal form by simply dividing 1 by 5.

If 1/5 = .20, then 1/5 is greater than .15!
Actually, this question first involves COMBINATIONS and then PERMUTATIONS.
We first must calculate how many combinations can 5 things can be chosen from 7.
The formula is:
n! / r! *(n -r)! =
7! / 5! * 2! =
7 * 6 * 5! / 5 ! * 2 =
7 * 6 / 2 = 21 ways we can choose 5 things from 7 objects.
Now we must see how many permutations there are of 5 things:
5 * 4 * 3 * 2 * 1 =
120
That means we can put each of the 5 song combinations into 120 "5 song sequences".
So, the total number of ways is
21 * 120 = 2,520 possible ways.