Bachelor's degree salary = $53000
Master's degree salary = $66000
Step-by-step explanation:
Given that :
Let Salary of bachelor's degree holder = x
Salary of Master's degree holder = 2x - 40000
Master's salary + bachelor's salary = $119,000
Hence,
Master's salary + bachelor's salary = 119,000
2x - 40000 + x = 119,000
3x = 119000 + 40000
3x = 159000
x = 159000 / 3
x = $53,000
Bachelor's degree salary = $53,000
Master's degree salary ; 2x - 40000 ; 2(53000) - 40000 = $106,000 - $40,000 = $66000
The average yearly salary of an individual with a bachelor's degree is $58,000, and the average yearly salary of an individual with a master's degree is $66,000.
Let, the average yearly salary of an individual with a bachelor's degree as "B" and the average yearly salary of an individual with a master's degree as "M".
According to the information given:
The average yearly salary of an individual with a master's degree is $50 thousand less than twice that of an individual with a bachelor's degree:
M = 2B - $50,000
The combined yearly salaries of two people with each of these educational attainments earn $124 thousand:
B + M = $124,000
Now we can solve this system of equations to find the values of B and M.
Substitute the value of M from the first equation into the second equation:
B + (2B - $50,000) = $124,000
3B - $50,000 = $124,000
Now, solve for B:
3B = $174,000
B = $174,000 / 3
B = $58,000
Substitute the value of B back into the first equation to find M:
M = 2B - $50,000
M = 2 * $58,000 - $50,000
M = $116,000 - $50,000
M = $66,000
So, the average yearly salary of an individual with a bachelor's degree is $58,000, and the average yearly salary of an individual with a master's degree is $66,000.
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Please help!
3x – 4 = = 35
Answer:
13
Step-by-step explanation:
3x13-4=35 Hope this helps
Step-by-step explanation:
Hope it helps.
Thank you
Please answer this ASAP NO PHOTOS PLEASE
Answer: 1cm cubed
Step-by-step explanation:
Cube Formula = L x W x H
= 1 x 1 x 1
= Volume of cube
= 1cm cubed
An article is sold for Rs 500 at 25% gain. If an article is sold for Rs.250. What is loss percentage?
Answer:
The loss percentage is 37.5%
Step-by-step explanation:
Cost Price = 500 × 100/125 = 400
New selling price = Rs. 250 ⇒ Loss = 400 – 250 = 150
Loss percentage = 100 × 150/400 = 37.5%.
if (y-b)÷(x-a)=m, then x is equal to
Step-by-step explanation:
[tex] \frac{(y - b)}{(x - a)} = m \\ y - b = m(x - a) \\ y - b = mx - am \\ mx = y - b + am \\ x = \frac{y - b + am}{m} [/tex]
Dave has $15 to spend on an $8 book and two
birthday cards (c) for his friends. How much can
he spend on each card if he buys the same card
for each friend?
Answer:
yesjndndkkwkdkdndkiskdn
Answer:
3.50 on each cuz 15-8=7 and 7÷2= 3.5 or 3.50
Evaluate the expression
(x + 3)(y - 2) , if x = -2, and y= 6
Answer:
The answer is 4
Step-by-step explanation:
Given,
[tex]x=-2,\,y=6[/tex]
Now, the expression
∴[tex](x+3)(y-2)\\=>(-2+3)(6-2)\\=>(1)(4)\\4[/tex]
hope you have understood this...
pls mark my answer as the brainliest
x^2-y^2-z^2 factorise
Answer:
2(x-y-z)
Step-by-step explanation:
take common fromm all of those terms
What is the mean of the data set rounded to the nearest tenth?
0.7 1.1 0.8 1.6 1.6 2.2 1.1
Answer:
1.3Step-by-step explanation:
Mean is the average of data set:
μ = (0.7 + 1.1 + 0.8 + 1.6 + 1.6 + 2.2 + 1.1)/7 = 1.3Mean
[tex]\\ \rm\leadsto \dfrac{\sum n}{n}[/tex]
[tex]\\ \rm\leadsto \dfrac{0.7+1.1+0.8+1.6+1.6+2.2+1.1}{7}[/tex]
[tex]\\ \rm\leadsto 1.3[/tex]
how do you find a positive/negative interval?
Answer:
we need to see that weather it is in positive form or negative form
positive means add
negative means subtract
-5c+5c+2c–6c–12c-16 16=c
Step-by-step explanation:
-5c+5c+2c–6c–16=c
-16c - 16=c
-16 = c + 16c
-16 = 17c
-16/17 = c
The expression (4c − 3d)(3c + d) is equivalent to:
A. 12c2 − 13cd − 3d2
B. 12c2 − 13cd + 3d2
C. 12c2 − 05cd − 3d2
D. 12c2 − 05cd + 3d2
E. 12c2 − 03d2
(4c - 3d)(3c + d) =
= 12c² + 4cd - 9cd - 3d² =
= 12c² - 5cd - 3d²
The expression (4c − 3d)(3c + d) is equivalent to 12c² - 5cd - 3d²
(4c − 3d)(3c + d)
Open the bracket
12c² + 4cd - 9cd - 3d²
Collect like terms
12c² - 5cd - 3d²
Hence, the equivalent value of the expression is : 12c² - 5cd - 3d²
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i need help asap can one of yall help me !
Answer:
(2,-1)
Step-by-step explanation:
2a+3 =(6 + 4a)
Is it true or false
Answer:
false
I hope it's helps you
Answer:
[tex]2a + 3 = (6 + 4a) \\ \\ it \: is \: false[/tex]
Which of the following is a point of tangency on the circle below?
Answer:
Answer D but read below.
Step-by-step explanation:
The point of tangency is the endpoint of either a radius or a diameter such that only one point of the circumference of the circle is concurrent with the endpoint of the diameter or radius of the circle.
Technically, it is none of them. E should be 180 degrees. That is really a sloppy question.
However I think you are expected to answer F which is answer D.
Answer:
The answer is D.
Step-by-step explanation:
I learned it in school.
The width of a rectangle
is 11 feet longer than the
length. The perimeter of the The rectangle is 70 feet. Find the length and the width.
Answer:
Hello! The answer to this problem is Length= 27 and Width= 8
Step-by-step explanation:
2(11+2x) +2x = 70
6x + 22 = 70
6x = 48
x = 8
Answer:
Length = 23 feet and width = 12 feet.
Step-by-step explanation:
The width (W) = x and the length (L) is x+11 feet (length must be longer than width).
Perimeter = 2W + 2L = 70
2x + 2(x + 11) = 70
2x + 2x + 22 = 70
4x + 22 = 70
4x =- 70 - 22 = 48
x = 12 = width
So length = 12 + 11 = 23.
2x² - 5x+1 has roots alpha and beta. Find alpha⁴+beta⁴ without solving the equation.
Please answer fast step by step. I will mark the best answer as brainliest.
Answer:
Step-by-step explanation:
[tex]\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\dfrac{1}{2} \\\\\alpha^2+\beta^2=\dfrac{21}{4} \ (see\ previous\ post)\\\\(\alpha+\beta)^4=\dfrac{625}{16} \\\\=\alpha^4+\beta^4+4*\alpha^3*\beta+6*\alpha^2*\beta^2+4*\alpha*\beta^3\\\\=\alpha^4+\beta^4+4*(\alpha*\beta)(\alpha^2+\beta^2)+6*\alpha^2*\beta^2\\\\\alpha^4+\beta^4=(\alpha+\beta)^4-4*(\alpha*\beta)(\alpha^2+\beta^2)-6*\alpha^2*\beta^2\\\\= \dfrac{625}{16} -4*\dfrac{1}{2} *\dfrac{21}{4} -6*(\dfrac{1}{2})^2 \\\\[/tex]
[tex]= \dfrac{625}{16}- \dfrac{168}{16}-\dfrac{24}{16}\\\\\\= \dfrac{433}{16}[/tex]
Which angle between –180° and 0 has the same cosine value as 275°
Answer:
cos (-85°)
Step-by-step explanation:
[tex] \cos(275 \degree) [/tex]
since cosine is in fourth quadrant:
[tex] \cos(275 \degree) = \cos( \{360 \degree - 275 \degree \}) \\ = \cos( - 85 \degree) [/tex]
-85° is the angle between –180° and 0° that has the same cosine value as 275°.
What is cosine?Cosine is the trigonometric function that is equal to the ratio of the side adjacent to the acute angle in a right angled triangle.
Mathematically,
Cos = Base/Hypotenuse
Now, to calculate cos(275) we have to first determine the quadrant of the given angle.
Since our angle is greater than 270 and less than or equal to 360, it is located in the Quadrant IV.
In the Quadrant IV, the values of cos are always positive.
275 is an obtuse angle so we can write,
Cos(275) = Cos{360+(-85)}
∵ Cos(360+θ) = Cosθ
∴ Cos{360+(-85)} = Cos(-85)
⇒ Cos(275) = Cos(-85)
The required answer is cos(275) = cos(-85)
Hence, -85° is the angle between –180° and 0° that has the same cosine value as 275°.
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Please I need help ASAP, I don’t understand anything and it’s due tomorrow
Answer:
Alright, here we go.
11. Those are vertical angles. All vertical angles are equal.
6x + 7 = 8x - 17
2x = 24
x = 12
12. Those are linear angles (adjacent angles on a line). Linear angles = 180.
(11x - 15) + (5x - 13) = 180
16x - 28 = 180
16x = 208
x = 13
13. If BD is perpendicular to AC, that means ∠ABD and ∠CBD = 90°. ∠CBD is made up of angle DBE, which equals (2x - 1)° and angle CBE, which equals (5x - 42)°.
(5x - 42) + (2x - 1) = 90
7x - 43 = 90
7x = 133
x = 19
14. Angles PQS and SQR are equal and halves of angle PQR because of bisector QS. If PQR = 82°, angle PQS = 41°
10x + 1 = 41
10x = 40
x = 4
15. If the bottom angle is (x + 10)°, then the top angle is also (x + 10)° because they're vertical angles. Angle (x + 10) and angle (10x - 61) are linear angles, so they equal 180.
(x + 10) + (10x - 61) = 180
11x - 51 = 180
11x = 231
x = 21
As for y, insert 21 as x for (10x - 61).
10(21) - 61
210 - 61
149
(18y + 5) should also equal 149° bc of vertical angles.
18y + 5 = 149
18y = 144
y = 8
x = 21
y = 8
(16 is crossed off so I'm going to assume you're not doing that one.)
17. If angle MNQ = (8x + 12)°, and it's bisected by NP, we can say that angles MNP and PNQ are equal halves of (4x + 6)°. Now, we were told that angle PNQ = 78°.
4x + 6 = 78
4x = 72
x = 18
This means that angle MNQ = 78 x 2, which is 156.
Now to find y, we see that angles MNQ and RNM are linear angles, so we can say:
(3y - 9) + 156 = 180
3y - 9 = 24
3y = 33
y = 11
x = 18
y = 11
(This took a while.)
(3/5) + (-6/7)+(-2/5)+(3/14) find
Answer:
[tex] \frac{ - 31}{70} [/tex]Step-by-step explanation:
[tex] \frac{3}{5} + ( \frac{ - 6}{7} ) + ( \frac{ - 2}{5} ) + \frac{3}{14} [/tex]
[tex] = \frac{42 + ( - 60) + ( - 28) + 15}{70} [/tex]
[tex] = \frac{42 + 15 - 60 - 28}{70} [/tex]
[tex] = \frac{57 - 88}{70} [/tex]
[tex] = \frac{ - 31}{70} (ans)[/tex]
Evaluate the following expression
H ;-)
x = -3 and y = -2
2x² - 5xy - y³ =
= 2 · (-3)² - 5 · (-3) · (-2) - (-2)³ =
= 2 · 9 - 30 - (-8) = 18 - 30 + 8 =
= -12 + 8 = -4
Answer:
[tex]2 {x}^{2} - 5xy - {y}^{3} \\ x = - 3 \\ y = - 2 \\ 2 { (- 3)}^{2} - 5 \times - 3 \times - 2 - { (- 2)}^{3} \\ 2 \times 9 + - 30 - - 8 \\ = 18 - 30 + 8 \\ = - 4 \\ thank \: you[/tex]
If Caleb bought 1.2 pounds of cheese that was selling for 5.95 per pound. How much did Caleb pay for the cheese.
Answer:
$7.14
Step-by-step explanation:
If each pound of cheese is $5.95. You just have to find out how much 1.2 pounds is worth. So, you multiply 5.95 times 1.2 pounds and you'll get $7.14
Multiplication is the process of multiplying. The total amount that Caleb needs to make for 1.2 pounds of cheese at a rate of $5.95 per pound is $7.14.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that the rate of cheese per pound is $5.95 per pound. Therefore, the amount that Caleb needs to make for 1.2 pounds of cheese is,
Total Amount = $5.95/pound × 1.2 pounds
= $7.14
hence, the total amount that Caleb needs to make for 1.2 pounds of cheese at a rate of $5.95 per pound is $7.14.
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20 labourers complete the construction of a building in 24 days.in how many days would 16 labourers complete the work in 12 days ?
Answer:
Step-by-step explanation:
Please help me with this! Write the equation of the line in fully simplified slope intercept form. Explanation and answer please ^^
Answer:
y = -1/2x - 8
Step-by-step explanation:
y = -1/2x - 8
What’s m=y2-y1 divided by x2-x1 for Y2
Answer:
slope formula
Step-by-step explanation:
Paul, Than, and Mike have each consumed four beers in the last two hours. Paul weighs 220 pounds, Than weighs 155 pounds, and Mike weighs 197 pounds. Who has the highest blood alcohol concentration (BAC)
Answer:
Than would
Step-by-step explanation:
since he has the lowest weight then the alcohol concentration has less place to go making his higher.
I wrote a cheque for $10 and he threw my 2 dollar how much do I have left
Answer:
you have $ 8
Step-by-step explanation:
cheque wrote ,=$10
and he threw =$2
then total $ left will be $8
please mark me brainleast
Use the story graph of each problem to fill in the blanks of the following sentence frames below.
In problem #1 the motion of the objects starts at ___ seconds and ends at ___ seconds.
The motion of the objects starts at ___ meters and ends at ___ meters.
The objects traveled ___ meters in ____ seconds.
In problem #2 the motion of the objects starts at ___ seconds and ends at ___ seconds.
The motion of the objects starts at ___ meters and ends at ___ meters.
The objects traveled ___ meters in ____ seconds.
I DONT KNOW WHAT THE ANSWER IS REALLY
Find the area of the shape below
PLEASE HELP I NEED TO FINNISH THIS, I DO NOT HAVE MUCH TIME LEFT PLEASE HELPPPPPPPPPPP Thank you :)
Answer:
46.875
Step-by-step explanation:
A= l x w x h so you multiple all three numbers together and get your answer
Picture shown!
If
f(x) = x^2+ 2x - 4
and
g(x) = 3x + 1
Find
g(f(x)) = [ ? ]x^2+ [ ? ] + [ ? ]
Answer:
3x^2+6x-11
Step-by-step explanation:
g(f(x)) = g(x^2+2x-4) = 3(x^2+2x-4)+1 = 3x^2+6x-11
the expression for perimeter of a rectangle
with a length of (x + 7) and a width of (2x)
Answer:
P = 6x + 14
Step-by-step explanation:
P = 2l + 2w
where P is perimeter, l is length, and w is width
l = x + 7
w = 2x
So P = 2(x+7) + 2(2x)
Distribute the 2 to the x and 7.
P = 2*x + 2*7 + 2*2x
Multiply each term out
P = 2x + 14 + 4x
Group the xs
P = 2x + 4x + 14
Combine like terms
P = 6x + 14