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Alex777 [14]
4 years ago
15

A consulting company must hire 20 new associates per year to replace those who have left the company for other positions or have

retired. The company employs 117 associates overall. How long is the average associate employed at the consulting company?
Mathematics
2 answers:
Murljashka [212]4 years ago
6 0

Answer:

5.85 years

Step-by-step explanation:

Overall number of associates employed = 117

Number of associates employed per year = 20

Average = Total number of associates employed ÷ number of associates employed per year = 117 associates ÷ 20 associates per year = 5.85 years

Scrat [10]4 years ago
4 0

Answer: 5.85 years

Therefore, an average associate is employed for 5.85 years.

Step-by-step explanation:

Given:

Rate of employment yearly = 20 associates per year

Total number of associates = 117 associates

Since the total number of associates remain constant the rate at which they employ new associates is equal to the rate at which associates leave = 20 per year

If 20 new associates are employed in a particular year it would take aan average of :

Average employment year A = total number of associates divided by the rate at which associates leave

A = 117/20

A = 5.85 years

Therefore, an average associate is employed for 5.85 years.

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The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass
ahrayia [7]
Each half-life reduces a sample by one half.
So after 1 half-life there is 1/2 left
2 half-lives 1/4
3 half-lives 1/8
4 half-lives 1/16
5 half-lives 1/32
There would be (1/32) of 120 remaining.
or 3.75 grams.

Source:
http://www.1728.org/halflife.htm


5 0
4 years ago
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3 years ago
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Which expression is equivalent to 46 - 2x)?
andrew-mc [135]

Answer:

24-8x

Step-by-step explanation:

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3 years ago
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What is an equation for the line parallel to y = -3x – 5 that contains (-1, 8)?
jeka57 [31]
<h3>Answer: y = -3x+5</h3>

slope = -3

y intercept = 5

==================================================

Explanation:

The given line is in the form y = mx+b, so the slope is m = -3

Any parallel line to this one will also have the same slope, but a different y intercept.

Plug (x,y) = (-1,8) and m = -3 into y = mx+b so we can find new y intercept.

---------------------

y = mx+b

8 = -3(-1) + b

8 = 3+b

8-3 = b

5 = b

b = 5

So because m = -3 and b = 5, this means we have y = -3x+5 as our answer.

5 0
3 years ago
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If 4 electricians can complete a job in 8 hours how long will it take 3 electricians to complete the same job
levacccp [35]
We know that

if <span>4 electricians can complete a job in 8 hours
then
</span>100% of a job -------> 8 hours
x------------------> 1 hour
x=100/8----> x=12.5%

divide by 4 electricians
12.5%/4-----> 3.125%
that means each electrician can complete 3.125% of a job in 1 hour

therefore
3 electricians-----> 3*3.125%----> 9.375% in 1 hour
so
9.375%-----------> 1 hour
100%--------------> x
x=100/9.375----> x=10.67 hours

the answer is
10.67 hours

8 0
3 years ago
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