Using linear functions, we have that:
A.
For Company A: [tex]S_A(n) = 31000 + 3000n[/tex]
For Company B: [tex]S_B(n) = 38000 + 2000n[/tex]
B. The salaries will be the same after 7 years.
A linear function is given by:
[tex]y = mx + b[/tex]
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, [tex]b = 31000, m = 3000[/tex], and the salary after n years is given by:[tex]S_A(n) = 31000 + 3000n[/tex]
For Company B, the salary starts at $38,000, with a raise of $2,000 each year. Thus, [tex]b = 38000, m = 2000[/tex], and the salary after n years is given by:[tex]S_B(n) = 38000 + 2000n[/tex]
Item b:
They will be the same after n years, for which:[tex]S_A(n) = S_B(n)[/tex]
Then
[tex]31000 + 3000n = 38000 + 2000n[/tex]
[tex]1000n = 7000[/tex]
[tex]n = \frac{7000}{1000}[/tex]
[tex]n = 7[/tex]
The salaries will be the same after 7 years.
A similar problem is given at https://brainly.com/question/24282972
I need help with 9-11 I’ll mark
Brainliest
Answer: it is 26
Step-by-step explanation:
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 25 pounds and each large box of paper weighs 70 pounds. A total of 21 boxes of paper were shipped weighing 1110 pounds altogether. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.
Answer:Number of small boxes shipped = 8
Number of large boxes shipped = 13
Step-by-step explanation:
Step-by-step explanation:
Let x be the number of small boxes and let y be the number of large boxes
According to the first statement, a total of 21 boxes were shipped
Equation 1 will be:
x+y=21
According to 2nd statement, the total weight was 1110 and we know the weight of one small box is 25 and large box is 70
Equation 2 will be:
25x+70y=1110
Use the substitution method for solving the equation
Putting the value of x in equation 2
25(21-y) +70y =1110
525-25y+70y = 1110
45y = 585
Y=13
Putting the value of y in equation 1
x+13 = 21
X = 8
Number of small boxes shipped = 8
Number of large boxes shipped = 13
The number of different cars sold in some country rose from 205 in 1997 to 280 in 2007. Find the percent increase. Round to the nearest whole percent.
The percent increase is ____%
Answer:
the answer is 37 percent
Ulysses wants to find the area of the trapezoid shown. Complete the table to show how Ulysses could divide a trapezoid into simpler figures to find its area.
The answer is attached below
The table shows how much money Diego has after buying some games and represents a linear function.
What is the y-intercept of the function shown in the table, and what does it represent
A. The y-intercept is (4,0), and the 4 represents the amount of money
Diego spends per game.
B. The y-intercept is (4,0), and the 4 represents the number of games
Diego buys.
C. The y-intercept is (0, 150). Diego has $150 before buying any
games.
D. The y-intercept is (0, 150). Diego spends $150 per game.
Answer:
C. The y-intercept is (0, 150). Diego has $150 before buying any
Step-by-step explanation:
Brainlylist
The correct statement is The y-intercept is (0, 150). Diego has $150 before buying any games.
what is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
(0, 150) and ( 1, 112.50)
Now, slope= (112.50-150)/1
slope= -37.5
So, the equation of line is
y- 150= -37.5( x- 0)
y= -37.5x+ 150
Hence, The y-intercept is (0, 150). Diego has $150 before buying any
games.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
3. In the diagram below AB' is the image of AB after a reflection in AC. If mBAC4x7 and mBAB ' 64 , then which of the following is the value of x?
(1) 6.25 (3) 14.25 (2) 12.5 (4) 18.75
When a line or shape or point is reflected, it must be reflected over a line.
The value of x is (b) 14.25
Reflection is a rigid transformation;
This means that:
[tex]\mathbf{\angle AC = \angle AB}[/tex]
So, we have
[tex]\mathbf{4x + 7 = 64}[/tex]
Subtract 7 from both sides
[tex]\mathbf{4x = 57}[/tex]
Divide both sides by 4
[tex]\mathbf{x = 14.25}[/tex]
Hence, the value of x is (b) 14.25
Read more about reflections at:
https://brainly.com/question/938117
[tex]\sf 600+303+400[/tex]
a substance is kept at -3. 1*F it's temperature is raised by 2.5 what is the new temperature
Answer:
.6 degrees
Step-by-step explanation:
-3.1+2.5=.6
I give brainlist pls help and don't use me for points
Answer:
search up different types of decimals and answer it to the same one that looks the same as the one on the paper .
Step-by-step explanation:
Pleaseeee help asappp!
Answer: A and C
Step-by-step explanation:
plugging the ordered pairs into the suction on a graph is a good way to find them!
Answer:
I answered in comments but it was the first and last one :)
Step-by-step explanation:
A salesperson works 40 hours per week at a job where has two options for being paid. Option A is an hourly wage of 23$. Option B is a commission rate of 10% on weekly sales. How much does need to sell this week to earn the same amount with the two options
Answer:
$9200
Step-by-step explanation:
Since he works 40 hours a week and would make $23 for every hour with option A, we just multiply 40 by 23
40 x 23 = 920
This means 10% of the sales will need to equal to 920
Let x = sales
We multiply x by 0.1 to get 920
0.1x = 920
Divide both sides by 0.1
0.1x/0.1 = 920/0.1
x = 9200
The length of Chen’s office is 15.5 feet and the width is 7.8 feet. Use the formula P = 2ℓ + 2w to find the perimeter of the office.
46.6 feet
Step-by-step explanation:
P = 2ℓ + 2w
P = 2(ℓ + w)
P = 2(15.5 + 7.8)
P = 2(23.3)
P = 46.6 feet
Ilus How many feet are in 8 meters? 1 m = 3.3 ft 8 m = [?] ft
Answer:
26.4ft
Step-by-step explanation:
8*3.3
What is the measure of the angle of rotation for the polygon?
Answer:
360 degrees divided by that order
Which is an equation of the line containing (1, –3) and (7, 15)?
y = 3x – 10
y = 3x
y = 3x – 6
y = –3x + 8
Write a linear function for the data in each table.
SEE EXAMPLE 2
21.
х
-2
-1
0
1
2.
1
у
N
-1 -2 1 / 4
N
f(x) = -3/2x +3
f(x) = -3/2x-1
f(x) = 2x - 1
f(x) = 2/3x - 1
f(x) = 4x + 2
Bby
f(×) =-1-21/4yn Thanks me later
The value of y varies directly with x. If x = 3, then y = 18. What is the value
of x when y = 84
The value of x when y = 84 is 14
From the question,
The value of y varies directly with x
That is,
y ∝ x
Introducing the constant of proportionality, k
We get,
y = kx
Also, from the question
If x = 3, then y = 18
Putting these values into the equation, we can determine the value of k
[tex]y = kx[/tex]
[tex]18 = k \times 3[/tex]
Now, divide both sides by 3
[tex]\frac{18}{3}=\frac{k \times 3}{3}[/tex]
[tex]6 = k[/tex]
∴ k = 6
Now, to determine the value of x when y = 84
We will put y = 84 and the value of k =6 into the equation
[tex]y = kx[/tex]
[tex]84 = 6 x[/tex]
Divide both sides by 6
[tex]\frac{84}{6} = \frac{6x}{6}[/tex]
[tex]14 = x[/tex]
∴ [tex]x = 14[/tex]
Hence, the value of x when y = 84 is 14
Learn more here: https://brainly.com/question/17531464
If you could help with a few questions that what be lit (giving best answers brainliest)
Answer:
send your # and ill help you over call
find the sum -3/4 + 15 / 24
A. - 3/4
B. 1/2
C. 1/8
D. -1/8
State the angle relationship and state the measure of each angle indicated that makes lines u and v parallel
Answer:
5) Alternate Exterior angles 90º
6) Same side Interior angles. 132º if that says 48º on the page
7) Corresponding angles. too blurry but they are congruent
8) Alternating Exterior angles. too blurry but they are congruent
Step-by-step explanation:
Congruent means they are the same measurement just as a reminder :).
Plz help I don’t understand
Answer:
send full question plzzz
The quotient of a number x and five
Answer: fun fact : by reading what i just right u just lost 5 sec of ut life
Step-by-step explanation:
-3 3/5 divided by -1/2
Answer:
36/5 or 7 1/5 or 7.2
Step-by-step explanation:
-3 3/5 = -18/5
-18/5 * -2 = 36/5
A science class has 5 girls and 3 boys in the seventh grade and 4 girls and 4 boys in the eighth grade. The teacher randomly selects a seventh grader and an
eighth grader from the class for a competition. What is the probability that the students she selects are both boys?
Write your answer as a fraction in simplest form.
Answer:
To find the probability of picking two boys, we need to first know how many different ways she can pick the 7th and 8th grader.
There are 12 7th-graders and 8 8th-graders. So the total number of ways she can pick is:
12
×
8
=
96
To get two boys picked, there are 5 boys in the 7th-grade class and 4 in the 8th-grade class, so there are:
5
×
4
=
20
ways
Which gives us the probability of:
20
96
=
5
24
≅
21
%
Step-by-step explanation:
Write an algebraic expression for each phrase?
Don’t know if those are right also
Answer & Step-by-step explanation:
1) 4x
2) y-8
3) 6/x
4) 12-y
5) y+9
6) 5^2
7) x^4
8) 9+n
9) 64-y
10) 12/n
11) x^2/7
12) x-8=22
13) 2a-b^2
14) 12-ab
Answer:
4xy - 86 / x12 - y9 + y5^2x^49 + x64 - y12 / xx^2 / 7x - 8 = 222a - b^212 - ( a × b )Hopefully this helped!
Brainliest please?
Define :-
a). Monomial
b). Binomial
c). trinomial
A expression having only one term is called monomial.
[tex]Eg:- 3x, { - 4y}^{2} , \frac{3}{2} yz [/tex]
b). BinomialA expression having two terms is called Binomial.
[tex]Eg: 2x - 3y \: , {4x}^{2} + 5zx[/tex]
c). trinomialA expression having three terms is called trinomial.
[tex]Eg: - 3p + 5q - \frac{2}{5} pq[/tex]
What is the slope of the line on the graph?
Answer:
5/12
Step-by-step explanation:
It goes up 5 and over 12.
i need this pleaseeeee!!!!
(a) The population of a certain city decreased by 4000 people. Write a signed number to represent this population change.
and also b!!!!
Answer:
the answer is 0004..................
The triangles are congruent. Write the congruence statement
Answer:
answerr is d
beacause the middle congruence which is c shoild be in the middle
Please please help me with this question
Answer:
By definition definition a quadratic polynomial is a polynomial of degree two, the highest degree ter. is of second order.
A linear polynomial is defined by y=mx+c, the highest order is of degree 1.
If your x is raised to a fraction power then that is neither quadratic nor linear.