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Serga [27]
3 years ago
10

Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$43 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 ​$116 thousand. Find the average yearly salary of an individual with each of these final degrees?
Mathematics
1 answer:
natka813 [3]3 years ago
6 0

Answer:

A person who holds a master's degree would earn an average $63,000

A person who holds a bachelor's only would earn an average $53,000

Step-by-step explanation:

We will need to construct equations from the sentences.

Firstly, let the yearly average for a master's degree holder be m and that of bachelor's be b.

Now, we know that someone with a master's earn 43000 less than twice what someone with bachelors earn.

Mathematically,

m = 2b - 43,000

Combined, they have an average salary of 116,000

Mathematically,

m + b = 116,000

Now we have 2 equations to solve simultaneously.

m = 2b - 43,000 ......(i)

m + b = 116,000 .......(ii)

We can sub I into ii

2b - 43,000 + b = 116,000

2b+b = 116,000 + 43,000

3b = 159,000

b = 159,000/3 = 53,000

m = 2b - 43,000

m = 2(53,000) - 43,000 = 63,000

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Which expression finds the measure of an angle that is coterminal with a 45° angle? 45° 90° 45° 180° 45° 270° 45° 360°.
agasfer [191]

The measure of an angle is the coterminal angle with a 45A°+360A° and can be determined by using the measurement of coterminal angles.

<h2>We have to determine</h2>

Which expression finds the measure of an angle that is coterminal with a 45° angle?

<h3>According to the question,</h3>

Coterminal angles are those angles that share the terminal side of an angle occupying the standard position.

The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.

<h3>A coterminal with 45° is 45°+k°360° with k as an integer.</h3>

Then,

The coterminal angle with 45°,

When k = 0

Then,

\rm = 45+(0)360\\\\= 45+0\\\\= 45 \ degree

When k = 1

Then,

\rm = 45+(1)360\\\\= 45+360\\\\= 405 \ degree

When k = -1

Then,

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Hence, The measure of an angle that is coterminal with a 45A°+360A°.

For more details about the Coterminal angle refer to the link given below.

brainly.com/question/12378421

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2 years ago
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ss7ja [257]
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D=r•t
1.) Fill in what you know
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Answer:

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Step-by-step explanation:

see the attached figure to better understand the problem

we know that

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then

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substitute the given value

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