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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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A parking space shaped like a parallelogram has a base of 17 feet and a height is 9 feet. A car parked in the space is 16 feet l
Sauron [17]
17 by 9 parking space
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3 years ago
How do I do this problem?
Sedaia [141]
Use the reciprocal method. the first term is really 4 divided by 3/4. which is also the same as 4 multiplied by 4/3. that number is 16/3 of course. you then find a common denominator between the 2 terms. 16/3 and 3/2 can both have the denominator 6. The first term gets changed to 32/6 and the second can be changed to 9/6 and when 32/6 - 9/6 is done, it comes out to 23/6

23/6
5 0
3 years ago
The function shown is in the form y = (x - h)^2. Determine the value of h. A) -1 B) 1 C) 2 D) - 1/ 2
Hunter-Best [27]
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3 0
3 years ago
During a regular respiratory cycle, the volume of air in liters in the human lungs can be described by the function V(t) = 0.173
guapka [62]

Answer:

<h3>A. about 3.4 seconds</h3>

Step-by-step explanation:

Given the volume of air in liters in the human lungs described by the function V(t) = 0.173t +0.15t^2 - 0.035t^3 where t is the time in seconds,

The beginning of this respiratory cycle for the lungs to fill to their maximum volume of air occurs when dV/dt = 0

dV/dt = 0.173 + 0.3t - 3(0.035)t²

dV/dt = 0.173 + 0.3t - 0.105t²

Since dV/dt = 0

0.173 + 0.3t - 0.105t² = 0

multiply through by -1

-0.173 - 0.3t + 0.105t² = 0

0.105t² -0.3t-0.173 = 0

Factorize;

t = 0.3±√0.3²+4(0.105(0.173))/2(0.105)

t = 0.3±√0.09+0.07266/0.21

t =  0.3±√0.16266/0.21

t = 0.30±0.4033/0.21

t = 0.7033/0.21

t = 3.349secs

t ≈ 3.4secs

Hence it will take about 3.4secs for the lungs to fill to their maximum volume of air

7 0
3 years ago
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