Suppose the average yearly salary of an individual whose final degree is a masters is $36 thousand less than twice that of an individual whose final degree is a bachelors. Combined, two people with each of these educational attainments earn $117 thousand. Find the average yearly of an individual with each of these final degrees.

Answers

Answer 1

Answer:

Bachelors = $51,000

Masters = $66,000

Step-by-step explanation:

M + B = 117,000

M = 2B - 36,000

2B - 36,000 + B = 117,000

3B = 153,000

B = 51,000

M = 2(51,000) - 36,000 = 66,000

Answer 2

The yearly salary of a bachelor's degree and a master's degree is 51 thousand and 66 thousand dollars respectively.

How to write numerical expressions from given statements ?

To write numerical expressions from given statements use logic as what is twice of a number what is 6 times of a number and many more.

Suppose a is thrice of b means a is 3 times as big as b.It can be written as a = 3b.

According to the given question  the average yearly salary of an individual whose final degree is a masters is 36 thousand dollars less than twice that of an individual whose final degree is a bachelors.

Assuming yearly salary of a bachelor's degree is x thousand dollars.

∴ yearly salary of an individual with master's degree is

= (2x - 36) thousand dollars.

Given combining these two individual they make 117 thousand dollars.

∴ x + (2x - 36) = 117

 3x = 117 + 36

 3x = 153

   x = 153/3

   x = 51.

So, Yearly salary of an individual who has a bachelors degree is 51 thousand dollars and yearly salary of an individual who did masters is {(2×51) - 36} = 102 - 36 = 66 thousand dollars.

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Related Questions

pls help quick it is in the picture

pls help quick it is in the picture

Answers

Answer:

90 degrees it looks like

Step-by-step explanation:

These are the cost and revenue functions for a product line of cat food sold in 7-pound bags at a single pet store: R(x) = 700x – 11.3x2 C(x) = 8,068 – 34.25x Based on these functions, what is the maximum profit that can be made? A. $1,737.82 B. $3,859.50 C. $8,068.00 D. $10,840.71

Answers

Answer:

i think its c

Step-by-step explanation:

because if you add the x and add the number without the x then divide tada that how you find the answer.

Answer:

The answer is B, 3,859.50

Step-by-step explanation:

I just got it right on the quiz!

Kendra and Allen Tovsky have a combined income of $142,573. They have 1099 forms which report $650 in dividends. They also have $8,500 in income from rental property. They are able to reduce their income by $12,500. What is their adjusted gross income?

Answers

Kendra and Allen Tovsky's adjusted gross income is $139,223.

What is Adjusted Gross Income (AGI)?

Adjusted Gross Income (AGI) is defined as an individual's gross income minus various adjustments made to that income, such as trade and business deductions.

To calculate Kendra and Allen Tovsky's adjusted gross income (AGI), we need to start with their total income and subtract any deductions or adjustments they are eligible for.

Their total income is:

Combined income: $142,573

Dividends: $650

Rental income: $8,500

Total income before deductions: $151,723

Next, we need to subtract their eligible deductions. In this case, they are able to reduce their income by $12,500, which could include things like contributions to a retirement account or health savings account, self-employed expenses, or student loan interest payments. Let's assume that the full $12,500 deduction applies to their situation.

Adjusted gross income calculation:

Total income before deductions: $151,723

Minus eligible deductions: $12,500

Adjusted gross income: $139,223

Therefore, Kendra and Allen Tovsky's adjusted gross income is $139,223.

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A recipe for cookies calls for 2/3 cups of sugar per batch Atlanta use 4 cups of sugar to multiply batches of cookies how many batches will she make

Answers

6

Step-by-step explanation:

Solve equation by using the quadratic formula.
25x^2 + 35x = -12

Answers

The answer is -3/5, -4/5

The relative frequency of spinning an even number is?

The relative frequency of spinning an even number is?

Answers

The relative frequency of spinning an even number is 26%.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

The total number of times the spinner was spun is:

8 + 6 + 9 + 11 + 9 + 7 = 50

To find the relative frequency of spinning an even number, we need to add up the number of times an even number was spun, which are 2 and 4:

2 + 11 = 13

The relative frequency of spinning an even number is the number of times an even number was spun divided by the total number of spins:

Relative frequency of spinning an even number = 13/50

Relative frequency of spinning an even number = 0.26 or 26%

Therefore, the relative frequency of spinning an even number is 26%.

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At a football game, 35% were supporting the visiting team. If 2119 people attending
supported the home team, what was the total number of people attending the game?

Answers

Answer:

3260

Step-by-step explanation:

yeah ok

Find the value of x:
PLEASE HELP!!
I need to show my work.
Thank you!!!

Find the value of x:PLEASE HELP!! I need to show my work.Thank you!!!

Answers

Answer:

x = 69

Step-by-step explanation:

360 - 208 = 152

x + 49 + 34 = 152

x + 83 = 152

x = 69

Hope this helps!

Identify the square root of 2 as either rational or irrational, and approximate to the tenths place

Answers

Answer: Irrational

Step-by-step explanation:

It is irrational because you cannot multiply a number by the same number to get the square root of 2.

I think the approximation is 1.4 or 1.42

After the party, a bag of ice weighs 7/8 pound. Before the party, the bag of ice weighed 3 times as much. How many pounds did the bac
party?
Drag the pointer to its correct location on the number line to show the weight of the bag of ice before the party.
3
4
Weight of Bag of Ice Before Party
2
4
Finish Late

Answers

The weight before the party could be any positive number

The weight of the bag of ice after the party was 7/8 pounds. So we can set up an equation:

x - weight used at the party = 7/8

We know that the weight used at the party is the weight before the party minus the weight after the party.

So we can substitute 3x for the weight before the party:

3x - (7/8) = weight used at the party

We don't know the exact weight used at the party, but we do know that it was less than or equal to the weight before the party.

So we can set up another inequality:

weight used at the party ≤ 3x

Putting it all together:

3x - (7/8) ≤ 3x

Simplifying:

-(7/8) ≤ 0

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Find the perimeter of this shape

Find the perimeter of this shape

Answers

The perimeter of the given shape as represented in the task content is; 29 cm.

What is the perimeter of the given shape?

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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3 books and 2 pens cost R135 while 2 books and 3 pens cost R140.Calculate the cost of each item​

Answers

Answer:

1 book costs 25 R

1 pen costs 30 R

Step-by-step explanation:

Let 1 book be x

1 pen be y

Here, I used the elimination method.

3 books and 2 pens cost R135 while 2 books and 3 pens cost R140.Calculate the cost of each item

The cost that a recycling company charges is directly proportional to the number of recycling bins collected. The cost is $33 for each bin.

A: Write a direct variation equation to represent the cost.
B: How many bins can a customer pay the company to collect the bins for $500? Write and solve the equation.
C: Suppose the customer plans to tip the recycling company $30, how many bins can the customer get removed for $500 now? Write and solve the equation.

Answers

a) The direct variation equation is y = 33x.

b) The customer can pay the company to collect 15 bins.

c) The customer can get approximately 16 bins (rounded to the nearest whole number) removed for $500 with a $30 tip included.

A) The direct variation equation to represent the cost would be y = kx, where y represents the cost, x represents the number of bins collected, and k is the constant of proportionality. In this case, since the cost is $33 for each bin collected, the value of k is 33. Therefore, the direct variation equation is y = 33x.

B) To find the number of bins a customer can pay the company to collect for $500, we can set the cost (y) equal to $500 and solve for x (the number of bins). Thus, we have:

y = 33x

500 = 33x

x = 500/33

x ≈ 15.15

Therefore, the customer can pay the company to collect 15 bins (rounded to the nearest whole number) for $500.

C) If the customer plans to tip the recycling company $30, the total cost would be $500 + $30 = $530. We can set the cost (y) equal to $530 and solve for x:

y = 33x + 30

530 = 33x + 30

500 = 33x

x ≈ 15.91

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Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
x+2
x+4

Answers

Answer:

A=x²+6x+8

Step-by-step explanation:

Answer:  A=x²+6x+8

Step-by-step explanation: Since we are looking to find the area of the entire rectangle, we would use the formula.  is the length and is width. You would approach this problem like any other area of the rectangle problem, except you are dealing with polynomials instead.

5. Briliana has taken out a loan for $16000 to buy a car. She plans to pay back the loan at a rate of $500 per month. LaShay has borrowed $500 to buy a car, which she plans to pay back at a rate of $20 per month.Knowing it'll take Briliana 16 months to reach $8000, how long will it take Briliana to reach $16000?

Answers

9514 1404 393

Answer:

  32 months

Step-by-step explanation:

It will take Briliana twice as long to reach $16,000 as it takes to reach $8,000. Twice 16 months is 32 months to reach $16,000.

How could you determine the number of buses that will be needed if 18 of the 134 people going will use
alternate means of transportation? Remember that each bus can hold up to 28 people,
Write an inequality you could use to figure out how many buses will be needed, if x represents the number
of buses
Explain the steps you will use to solve the inequality,

How could you determine the number of buses that will be needed if 18 of the 134 people going will usealternate

Answers

Answer:

Step-by-step explanation:

a punch bowl has a capacity of 8 quarts. a recipe fills the bowl 3/4 full.how many quarts does the recipe make

Answers

Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.

An unitary method is what?

This common convenience, already-existing variables, or all important elements from the original Diocesan customizable survey that followed a particular event methodology can all be used to achieve the goal. If it does, there will be another chance to get in touch with the entity. If it doesn't, each of the crucial elements of a term proof outcome will surely be lost.

Here,

The quantity of punch produced by the recipe is:

If the punch bowl has an 8-quart capacity and the recipe fills it 3/4 full.

=> 6 pints =  8 * 3/4.

The formula yields 6 quarts of punch as a result.

Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.

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classify the following differential equation s given in both standard and differential form. Q5 only​

classify the following differential equation s given in both standard and differential form. Q5 only

Answers

The given differential equation is:

y' = 2xy + x

Rewriting it in differential form, we get:

(2xy + x)dx - dy = 0

This is a first-order linear differential equation, which can be written in the form:

y' + P(x)y = Q(x)

where P(x) = -2x and Q(x) = x.

Therefore, the differential equation is a first-order linear differential equation.

Let S be the universal set, where:
S= {1, 2, 3,..., 18, 19, 20}

Let sets A and B be subsets of S, where:

Let S be the universal set, where: S= {1, 2, 3,..., 18, 19, 20}Let sets A and B be subsets of S, where:

Answers

Answer:

Step-by-step explanation:

Therefore, the height of the tower is approximately 121.4 meters.

PLEASE HELP ME ASAP!!!

PLEASE HELP ME ASAP!!!

Answers

The line should cross over the x-axis at the point (0.5,). The line should cross over the y-axis at the point (0,2). To show this on the graph, like the question is asking, you can place one point at (0,2) and another point at (1,-2).

5x + 7 / 2 = 3x / 2 - 14 help me fast​

Answers

Answer:

X= -5

Step-by-step explanation:

do you need steps?

5x +7/2 = 3x/2 -14

10x+7/2 = 3x-28/2

2(10x+7) = 2(3x-28)

20x +14 = 6x - 56

20x -6x = -56 - (14)

14x = -70

x = -70/14

x = -5

Write the equation of the line in fully simplified slope-intercept form.

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y = -1x + 2

Step-by-step explanation:

Select the statements which could describe the graph of a non proportional relationship.

A. The y-intercept is positive.

B. The y-intercept is 0.

C. The line intersects the origin.

D. The y-intercept is negative.

(can be more than one answer)*

Answers

The answer to this question is A and D

what is the difference between ANOVA and Z-test Hypothesis

Answers

The difference between ANOVA and Z-test Hypothesis is the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

How to determine the difference

The Z-test becomes possible in  the comparison of the mean of a sample to that of the population. It evaluates if there is statistical relevance in the difference between the mean of a sample and the mean of the whole population

In contrast, ANOVA is employed to contrast the averages of three or more separate groups. This assesses if there is a noteworthy distinction in the averages of said groups. The F-statistic in ANOVA is computed by assessing the disparity in variability between groups and the variability within groups.

In a nutshell, the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

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Katie wants to buy a sundress priced at $40.00. If the sales tax is 6%, what is the total amount she must pay for the sundress?
Responses

Answers

Answer:

It should be 42.4

PLEASE HELP MARKING PEOPLE AS BRAINLIDR ALL DAY THANK YOU

PLEASE HELP MARKING PEOPLE AS BRAINLIDR ALL DAY THANK YOU

Answers

Answer:

T(1,0)

Step-by-step explanation:

I need urgent help with this pls

I need urgent help with this pls

Answers

3/15 or 1/5 and 5/14 because you already took one apple away which leaves you with 14 apples. I hope this helps

PLEASE HURRY TAKING A TEST RN
Type the correct answer in each box.

An image of lines p and q parallel to each other. Lines m and n are not parallel to each other. Line m, p form an angle of one hundred two degrees and an angle marked y. Lines n, q form an angle marked x and an angle of one hundred fifteen degrees.Parallel lines p and q are cut by two non-parallel lines, m and n, as shown in the figure.


The value of x is

degrees, and the value of y is

degrees.

PLEASE HURRY TAKING A TEST RNType the correct answer in each box.An image of lines p and q parallel to

Answers

The value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

What is the value of angle x and angle y?

The value of angle x and angle y is calculated by applying principle of angles formed by parallel lines as follows;

The value of angle adjacent x = 102⁰

The value of angle x   is calculated as;

x = 180 - 102 ( sum of angles on a straight line)

x = 78⁰

The value of angle y is calculated as follows;

y = 115⁰ (corresponding angles are equal)

Thus, the value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

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Please Help!
Using Heron’s formula, calculate the area of the parallelogram to the nearest tenth of a square unit.
Area ≈ ____ square units
Thank you!

Answers

Step-by-step explanation:

Hello! In order to get the best explication for your question, here's the link to a useful website:

https://geometryhelp.net/area-parallelogram-diagonals/

I believe, it's better for you to understand how to use the Heron's formula in other contexts so as to understand deeper into details how to apply it

Hope it helped!

Answer:36.7

Step-by-step explanation:


What is the distance between point A and point B?

What is the distance between point A and point B?

Answers

Answer:

11 units

Step-by-step explanation:

10 + 1 = 11

Even though point A is a negative 1. It's 1 point away from zero. Point B is 10 away from zero, making the distance 11.

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