1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KIM [24]
3 years ago
15

Suppose the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an in

dividual whose final degree is a bachelors. Combined, two people with each of these educational attainments earn $122 thousand. Find the average yearly salary of an individual with each of these final degrees.
Mathematics
1 answer:
zepelin [54]3 years ago
4 0

Answer:

  • <em><u>average yearly salary of an individual whose final degree is a masters:</u></em><u> $ 66 thousand</u>

<u></u>

  • average yearly salary of an individual whose final degree is a bachelors:<u> $ 56 thousand</u>

Explanation:

You can set a system of equation using the following steps:

1. Name the variables:

  • average yearly salary of an individual whose final degree is a masters: x

  • average yearly salary of an individual whose final degree is a bachelors: y

2. Set the equations that relate the variables:

  • the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an individual whose final degree is a bachelors:

        equation (1): x = 2y - 46

  • combined, two people with each of these educational attainments earn $122 thousand:

         equation (2): x + y = 122

3. Solve the system:

  • x = 2y - 46 . . . equation (1)
  • x + y = 122 . . . equation (2)

Substitute equation (1) into equation (2)

  • 2y - 46 + y = 122

Solve for y:

  • 3y = 122 + 46
  • 3y = 168
  • y = 168 / 3
  • y = 56 (this means that the average yearly salary with a bachelors degree is $ 56 thousand).

Subsitute the value on y in equation 1, to find the value of x:

  • x = 2y - 46 = 2(56) - 46 = 112 - 46 = 66.

Thus, the average yearly salary of a person with a masters degree is $ 66 thousand.

You might be interested in
a student bought a juice pouch for $2.50 and 3 bags of chips. the total cost was $5.05 write and solve an equation to determine
Wittaler [7]

First, write it as an equation

2.50+3x=5.05

Next, subtract 2.50 from both sides

2.50-2.50+3x=5.05-2.50

3x=2.55

Divide 3 on both sides

3x/3=2.55/3

x=0.85

The cost of a bag of chips is 0.85

hope i helped :D

5 0
2 years ago
Read 2 more answers
In the given diagram, what is the measure of ∠ABC of parallelogram ABCD?
nata0808 [166]
<h3>Answer: C) 136 degrees</h3>

The known acute angle of the triangle is 46 degrees, so the unknown acute angle of that triangle is 90-46 = 44 degrees. In other words, the two acute angles of any right triangle must add to 90, so 46+44 = 90.

The 44 degree angle is adjacent to angle ADC, and it adds to angle ADC to form 180 degrees.

If x is the measure of angle ADC, then

44+(angleADC) = 180

44+x = 180

x = 180-44

x = 136

angle ADC = 136 degrees

For any parallelogram, the opposite angles are always congruent. Therefore, angle ABC is equal to angle ADC = 136, making ABC = 136 as well.

3 0
2 years ago
Read 2 more answers
7. A large population of ALOHA users manages to generate 60 requests/s, including originals and retransmissions. Time is slotted
Debora [2.8K]

Answer:

P(success at first attempt) = 0.1353

Step-by-step explanation:

This question follows poisson distribution. Thus, the formula is;

P(k) = (e^(-G) × (G)k)/k!

where;

G is number of frames generated in one frame transmission time(or frame slot time)

Let's find G.

To do this, we need to find number of frames generated in 1 slot time which is given as 50 ms.

Now, in 1000 ms, the number of frames generated = 50

Thus; number of frames generated in 50 ms is;

G = (50/1000) × 50

G = 2.5

To find the chance of success on the first attempt will be given by;

P(success at first attempt) = P(0) = e^(-G) = e^(-2) = 0.1353

8 0
2 years ago
Plz help
yKpoI14uk [10]

Answer:

1.  A point you can't move at all, a line you can only move back and forth in the same direction. Yes it is accurate for its characteristics because points and lines have no set definition for them

2. When you are on a point you can not travel at all in any direction while staying on that point. That means you have zero options to travel in. That is why it is said you have zero dimensions.

3. Normal space refers 3 dimensional space that extends beyond the three dimensions of length, width, and height.


4. If you can move backward, forwards, up and down in two different directions it is considered two dimensional. The two dimensional figure is considered a plane. For example, if you took a piece of paper that extended forever in every direction, that in a geometric a sense, is a plane. The piece of paper itself is itself, finite, and you could call the piece of paper a plane segment because it is a segment of an entire plane.

8 0
3 years ago
1) Ethan put $700 into a Certificate of Deposit (CD) account that earns 1.8% interest each year. What will the interest of the C
Inga [223]

Answer:

The interest After 6 years is $ 79.03  

Step-by-step explanation:

Given as :

The principal amount deposited in account = $ 700

The rate interest earn = 1.8 % per year

The Time period = 6 years

<u>From Compounded Method </u>

Amount = Principal × (1 +\dfrac{\textrm Rate}{100})^{\textrm Time

Or, Amount = $ 700 × (1 +\dfrac{\textrm 1.8}{100})^{\textrm 6

Or, Amount =  $ 700 × 1.018^{6}

Or, Amount =  $ 700 × 1.1129

∴ Amount = $ 779.03

Now , Interest = Amount - Principal

I.e Interest = $ 779.03 - $ 700 = $ 79.03

Hence The interest After 6 years is $ 79.03  ,  Answer

7 0
3 years ago
Read 2 more answers
Other questions:
  • Please answer it now
    8·2 answers
  • Which expression could be used to determine the cost of a $50 video game after a 20 percent discount?
    9·3 answers
  • If the temperature was -4 yesterday and 23 today what is the change in temperature
    8·2 answers
  • Help me on this problem please!
    6·2 answers
  • 15. MODELING REAL LIFE You use a computer
    15·1 answer
  • Investments are different from savings accounts in that they _____.
    6·2 answers
  • Plz help it's dues 15 min for 11pts
    6·1 answer
  • a dream club charges $150 for the first month of membership, and $5 less each month after that. what is the total membership for
    12·1 answer
  • Whats the slope of the line help pls
    8·1 answer
  • Use pemdas 3 x (5 - 1) + 13 write 3 steps
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!