Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$45 thousand less than twice that of an individual whose final degree is a​ bachelor's. Combined, two people with each of these educational attainments earn ​$117 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answers

Answer 1

Answer:

$58500

Step-by-step explanation:

 let the degree holder earn  x

 then a masters degree holder earns= (2x-45,000)

the comnined amount of the two degree holders=   (2x-45,000)+x

2x-45000+x=117000

3x=117000+45000

3x=162000

x=162000/3

x=$54000

so bachelor'sdegree hold earns= $54000

a masters degree holder earns= (2(54000)-45,000)

a masters degree holder earns= (108000-45,000)

a masters degree holder earns=$63000

the average= (54000+63000)/2

the average= (117000)/2

the average=$58500


Related Questions

If the sales tax rate is 7% in New York, then how much sales tax would you pay in New York for a $34 pair of
pants?

Please I need help fast

Answers

Answer:

you would pay 2.38 sales tax for a 34 dollar pair of pants

Step-by-step explanation:

what's -5/1 + (-5/3)​

Answers

Answer:

Fraction = -20/3 = -18 2/3Decimal = −6.66666666667

Step-by-step explanation:

Just times the -5/1 by 3 on both sides and then

add both of the fraction numbers so you can get =

-20/3 in improper fraction or -18 2/3 in mixed number form

or the decimal = −6.66666666667 I hope this helps you, have a great day!

Hope this helps! <3

Find the value of x.
Area of rectangle = 36
▅ х
x + 5

Answers

The value of x is 4, which is determined by the quadratic equation.

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

The rectangle of a rectangle = L × W

Where W is the width of the rectangle  and L is the length of the rectangle

We have been given that area of the rectangle = 36

Area of rectangle = width of the rectangle × length of the rectangle

Here the width of the rectangle = x

And length of the rectangle = x + 5

The rectangle of a rectangle = x × (x + 5)

36 = x² + 5x

x² + 5x - 36 = 0

x² + 9x - 4x - 36 = 0

(x + 9)(x - 4) = 0

x = -9 and x = 4

Take the value of x = 4 and the negative value is neglected because the dimension can't be negative.

Therefore, the value of x is 4.

To learn more about the Area of the rectangle click here :

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Solve x2 = −169. Thank youuuuuuuuuuu

Answers

Answer:

x=-84.5

Step-by-step explanation:

Simplify the following to an expression involving a single
trig function with no fractions.

Answers

Answer    

Step-by-step explanation:

cos x

Question 5 of 5
Evaluate -(5-4)(52)
A.-1/25
B. 25
C. -25
D. 1/25

Answers

Answer:

it should be negative 52 so i would go with C

Step-by-step explanation: it is the closest to the answer

Surveyors wished to know the distance across a lake between A and B. They measured the distance from B to C as 100 m and the angle from C to A to be 55°. Knowing that the angle between CB and BA was 90°, they used trig to solve for the distance. Show how it was done

Answers

Answer:

AB ≈ 70m

Step-by-step explanation:

Check the attachment for the diagram.

You can see from the diagram that it is a right angled triangle with opposite side AB and adjacent side BC. Using SOH, CAH, TOA trig identity to get the length of AB. According to TOA;

tan 35° = opposite/adjacent

tan 35° = AB/BC

tan 35° = AB/100

AB = 100tan35°

AB = 100 * 0.7002

AB = 70.02m

Hence the distance across a lake between A and B is approximately 70m

x>-4
Examine the inequality and its graph.
6 5 4 -3 -2 -1 0 1 2
Which values are part of the solution set? Check all
that apply.
O x= 3
x= -5
OX=--
1
2
x= -4.5
x= -4

Answers

Answer:

A and C

Step-by-step explanation:

did assignment on edge

5/6 - 1/3 divided by 5/12

Answers

Answer:

1/30

Step-by-step explanation:

1-Intercambiamos los numeros de la ultima fraccion:

5/6 - 1/3 entre 5/12

2-intercambiamos posision, numeros y cambiamos el signo de resta a signo de multiplicacion:

1/3 x  12/5: 4/5

3-convertimos la operación en enteros (despues de aver hecho mas pasos)

25-24/30

4-restamos: 25 - 24=1

1/30

que espero te haya ser de mucha ayuda!!!

Necesito la gráfica lineal de esto porfa

Y= 3x -2

Answers

Answer:

La respuesta es x=2/3

Step-by-step explanation:

Remplasa Y por un 0. Y luego conviertelo en -3x=2. A ultimo divide lod dos adas por -3. Tu respuesta es x=2/3

Zahmiere and Brayden are playing basketball. Yesterday, Zahmiere made 3 shots in 5 attempts, while Brayden made 4 shots in 6 attempts. If they continue at those rates, who will make more shots in 30 attempts? Plsss answer fast!!!!! Plssssss

Answers

Answer:

i think the answer would be Brayden

Step-by-step explanation:

HAVING BAD DAY HELP

Suppose Karen reads 50 pages per day during the week, but then reads 1.5 times as many pages on Saturday and Sunday. How many pages total will Karen read on Saturday and Sunday?

Answers

Answer:

150 total pages read over the weekend, 75 for Saturday and 75 for Sunday.

Step-by-step explanation:

50×1.5=75

75+75=150

Answer:

Step-by-step explanation:

50 pages, 1.5 times as many

multiply:

50 x 1.5 = 75

If by "1.5 times as many on satuday and sunday" is including both days and not separately it will be 75 pages on saturday and sunday together..

If it says that she read 1.5 times as many on Saturday and 1.5 times as many on sunday, It will be 75 on saturday and 75 on sunday which is 150 pages.

I hope this wasn't confusing, I'm not sure on the wording of the question a bit, but I gave both possible answers.

Please HELPPP 9 mins left!!!

Answers

Answer: 8°

Step-by-step explanation:

57+90=147

147+4x+1= 180

147+1= 148

148+4x=180

180-148=32

32/4=8

x=8°

Levi bought 14 chicken wings for $22.40 how much would it cost for 12 wings

Answers

Answer:

x =19.20

Step-by-step explanation:

We can use ratios to solve

14 wings      12 wings

------------- = ---------------

22.40          x

Using cross products

14x = 22.40 * 12

14x =268.8

Divide each side by 14

14x/14 = 268.8/14

x =19.20

Which equation represents the line that passes through the points (–4, 3) and (2, –12)?

–9x + 2y = 42

x + 2y = 2

5x + 2y = –14

2x + 5y = 7

Answers

Answer:

5x + 2y = –14

Step-by-step explanation:

Graph the points and find the equation from there.

Answer:

the answer is 5x + 2y = –14 their right

Step-by-step explanation:

Which of the following tables of values represent ordered pairs for the function f(x) = 2x – 1?
PLEASE HURRY 10 POINTS

A.
x 3 6 9 12
f(x) 6 12 18 24
B.
x 2 4 6 8
f(x) 5 9 13 17
C.
x 1 2 3 4
f(x) 1 3 13 17
D.
x 0 4 8 12
f(x) -1 7 15 23

Answers

Answer:

D

Step-by-step explanation:

x 0,4,8,12

f(x)‒1,7,15,23

we can prove as the following

f(x)=2x‒1

‒1=2(0)‒1

‒1=0‒1

‒1=‒1

f(x)=2x‒1

7=2(4)‒1

7=8‒1

7=7

f(x)=2x‒1

15=2(8)‒1

15=16‒1

15=15

f(x)=2x‒1

23=2(12)‒1

23=24‒1

23=23

i wish it helps you

helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

B

Step-by-step explanation:

Realised I could stilll answer so i did, from what I can tell its b

PLEASE ANSWER ASAP !!!!

Answers

At h=1 y=-2 so -2 hope it helps!

Hey, can you please help me with this? thanks btw :)

Answers

28.27 is the area of the circle with a diameter of 6

Answer:

Step-by-step explanation:

Area of Circle: πr²

Diameter = radius * 2

Diameter = 3 * 2 = 6

Plug into the formula πr²

(3)²π ≈ 28.274 or 9π

UGENT PLZ HELP FAST​

Answers

The correct answer is A and D!

What is the value of r for 19 and 20?

Answers

Answer:

19.) r = -4    20.) r = 1

Step-by-step explanation:

19.) Because we know the slope and have some points, we can use point-slope form to find the equation.

Point-slope form is:

y - y1 = m(x - x1)

Substitute the numbers into the equation:

y - 3 = 7/6(x - 1)

y - 3 = 7/6x -7/6

y = 7/6x + 11/6

Now that we know the equation, we can put in the x value to find the y (In this case, y = r):

r = 7/6(-5) + 11/6

r = -35/6 + 11/6

r = -4

20.) Because the slope is undefined, that means on the graph, the line will appear straight and vertical. This means the equation will be something like x = a number.

We have the point (1,4). Since we know that the x value will never change, we know that r will have to equal 1 as well.

r = 1

Find the value of x
3x + 40
5x - 45

Answers

3x + 40 = 5x - 45

2x = 85

x = 42.5

Answer:

<HOPE IT WILL HELP YOU >

Step-by-step explanation:

3x + 40

3x+40=0

3x= -- 40

x= -- 40/3

5x--45

5x--45=0

5x= 45

x =45/5

x = 9

Which of the following is a rational number?
v1, v2, v3, v5

Answers

Answer:

5

Step-by-step explanation:

5 × 100 + 4 × 10 + 2 + ( 3 × 1⁄10 ) + ( 6 × 1⁄100 ) + ( 9 × 1⁄1000 ) Write as a numeral

Answers

Answer:

542.369

Step-by-step explanation:

Its the steps of writing it this is super easy also you can do the math to check if you want

can you use a square to tile a floor?

Answers

Answer:

Uh, what is the square made out of? A square tile, then, sure, I guess.

a right triangle contains 35° angle. if the length of the shorter leg is 12. what is the length of the other leg?​

Answers

Answer:

22

Step-by-step explanation:

Gina Needs To Pack 130 Pens, 50 Pencils And 20 Erasers Into Identical Gift Bags So That Each Item Is Equally Distributed Among The Gift Bags. (I) Find The Largest Number Of Gift Bags That Can Be Packed. (Ii) Find The Number Of Each Item In A Gift Bag.

Answers

Answer:

Step-by-step explanation:

I think the best way is to split up the erasers before you do anything. That would mean there were 20 gift bags in all

If you did that, then each gift bag would contain 2 pencils with 10 left over.

Further 130 pens would divide up into 6 pens in each gift bag with 10 pens left over.

HELP!! 20 POINTS

What type(s) of symmetry does this figure have?

rotational symmetry only

point symmetry only

no symmetry

both point and rotational symmetry

Answers

Answer:

rotational symmetry only

Rotational symmetry only, it looks like the original shape 3 times when rotated 360 degrees

Which of the following statements BEST proves that ∠XWY ≌ ∠ZYW?

A.
If two parallel lines are cut by a transversal, then corresponding angles are congruent.

B.
If two parallel lines are cut by a transversal, then complementary angles are congruent.

C.
If two parallel lines are cut by a transversal, then alternate interior angles are congruent.

D.
If two parallel lines are cut by a transversal, then alternate exterior angles are congruent.

Answers

Answer: C

Step-by-step explanation:

The pair of angles created on the inner side of the parallel lines intersected by a transversal but on opposing sides of the transversal is known as an alternative interior angle. The correct option is C.

What are Alternate Interior angles?

When two parallel lines are intersected by a transversal, the pair of angles created on the inner side of the parallel lines but on opposing sides of the transversal is known as an alternative interior angle. These angles are always equal in measure.

The best statements BEST that proves ∠XWY ≌ ∠ZYW is that If two parallel lines are cut by a transversal, then alternate interior angles are congruent.

Hence, the correct option is C.

The complete question is mentioned in the image below.

Learn more about Alternate Interior Angles here:

https://brainly.com/question/2656732

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I REALLY NEED HELPPPPP!! Write a paragraph proof for the following conjecture:

Given: m∠ 1 + m∠ 2 = m∠ 4

Prove: m∠3 + m∠1 + m∠2 = 180

Answers

Answer:

Given: measure 1 + measure 2 = measure 4

measure 4 + measure 3 must be 180 degrees because they are supplementary

If measure 4 + measure 3 is 180, and measure 1 + measure 2 = measure 4, we can substitute measure 4 in the first equation for measure 1 + measure 2.

Therefore, we arrive at the answer measure 1 + measure 2 + measure 3 = 180.

I really hoped this helped, and if it did, please consider giving me brainliest.

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