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Alex777 [14]
3 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]3 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]3 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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If the CAT operates with a constant speed of 53 mph (which means it beats 53 miles in one hour) and makes a trip in about 2 and 1/2 hours, we just have to multiply 53 by 2 1/2 to find out the overall distance it's beating in that time:

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4 0
3 years ago
Type the correct answer in each box. A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equatio
Galina-37 [17]

Answer:

(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}

Step-by-step explanation:

Given:

Center of circle is at (5, -4).

A point on the circle is (x_1,y_1)=(-3, 2)

Equation of a circle with center (h,k) and radius 'r' is given as:

(x-h)^2+(y-k)^2=r^2

Here, (h,k)=(5,-4)

Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:

r^2=(h-x_1)^2+(k-y_1)^2

Using distance formula for the points (5, -4) and (-3, 2), we get

r^2=(5-(-3))^2+(-4-2)^2\\r^2=(5+3)^2+(-6)^2\\r^2=8^2+6^2\\r^2=64+36=100

Therefore, the equation of the circle is:

(x-5)^2+(y-(-4))^2=100\\(x-5)^2+(y+4)^2=100

Now, rewriting it in the form asked in the question, we get

(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}

4 0
3 years ago
What is an equation of the line that passes through the points (1, -7) and (-4, 8)?
melomori [17]
<h2>Answer:    y + 7  =  -3 (x - 1)</h2>

Step-by-step explanation:

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)  

                                       

                                          =  (- 7 - 8) ÷ ( 1 - (- 4))

                                         =    - 15  ÷  5

                                         =  - 3

We can now use the point-slope form to write the equation for this line:

        y - y₁ = m(x - x₁) where (x₁ , y₁) = (1, -7)

             y - (-7) =  -3 ( x  -  1)

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3 0
3 years ago
What's three fourths times twenty eight equal?
Hoochie [10]
Hi , 3/4 times 28 equals to 84/4
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5 0
3 years ago
Read 2 more answers
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Sever21 [200]

Answer: $3.42

Step-by-step explanation:

Interest= Principal x Rate x Time

From the question, Principal =$2,150

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Time = one month, meaning one month out of 12months = 1/12

I is therefore: 2150 x 1.908% x 1/12

= 2150 × 0.01908 x 0.0833

=$3.42

I hope this is clear, please mark as brainliest answer.

8 0
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