Ask question

Ask question

All categories

1 year ago

6

A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ

ate is $600 and the daily rate for each partner is $1100. The law firm assigned a total of 10 lawyers to the case and was able to charge the client $8000 per day for these lawyers' services. Determine the number of associates assigned to the case and the number of partners assigned to the case.
There were ____associates assigned to the case and ____
partners assigned to the case.

1 answer:

Tom [10]1 year ago

6 0

Answer: x = 7

Thus 7 associates and 10 partners were assigned

Step-by-step explanation:

7 associates and 10 partners were assigned

Let "x" be the number of associates assigned to

case

Let "y" be the number of partners assigned to the case

The law firm assigned a total of 17 lawyers to the case

Therefore,

x + y = 17

x = 17 - y --------- eqn 1

daily rate charged to the client for each associate is $800

daily rate for each partner is $1800

They was able to charge the client $23600 per day for these lawyers' services

Therefore,

800x + 1800y = 23600 ------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

800(17 - y) + 1800y = 23600

13600 - 800y + 1800y = 23600

1000y = 23600 - 13600

1000y = 10000

Divide both sides by 1000

y = 10

Substitute y = 10 in eqn 1

x = 17 - 10

x = 7

Thus 7 associates and 10 partners were assigned

You might be interested in

Linh buys two T-shirts for $12 each, a pair of shoes for $28, and a pair of jeans for $45. She has a coupon for 30 percent off h

Darina [25.2K]

12x2= $24
24+28+45= $97

So $97 is 100%

So 100%-30% =70% (30% off)
(note: 70% = 70/100 = 0.7)

97 x 0.7 = $67.90

7 0

2 years ago

Read 2 more answers

The binomial (y − 2) is a factor of y2 − 10y + 16. What is the other factor?

PtichkaEL [24]

Answer:

$\left(y-8\right)$

Step-by-step explanation:

$y^2-10y+16$

$=\left(y^2-2y\right)+\left(-8y+16\right)$

$y^2-2y$

$=yy-2y$

$=y\left(y-2\right)$

$-8y+16$

$=-8y+8\cdot \:2$

$=-8\left(y-2\right)$

$=y\left(y-2\right)-8\left(y-2\right)$

$=\left(y-2\right)\left(y-8\right)$

The other factor is:

$\left(y-8\right)$

5 0

2 years ago

Read 2 more answers

The temperature of an enclosure for a pet corn snake should be an average of 81° F. For the well-being of the corn snake, the te

mario62 [17]

Answer: |81-x|<5

Step-by-step explanation:

Given: Temperature of an enclosure for a pet corn snake should be an average of 81° F.

Temperature in the enclosure should not vary by more than 5° F.

Let x= Temperature in the enclosure

Then, difference between average and current temperature should less the 5.

i.e. |81-x|<5 (required absolute value equation )

hence, the absolute value equation could be used to determine the minimum and maximum temperatures recommended for the corn snake enclosure:

|81-x|<5

4 0

2 years ago

Given line has the equation 2X +12 Y equals negative one what is the equation in slope intercept form of the line that is perpen

Flauer [41]

Answer:

y = 12x + 9 is the answer.

Step-by-step explanation:

Since the given equation is 2x + 12 y = -1

12y = -2x -1

$y=-\frac{1}{12}(2x+1)$

$y=-\frac{1}{12}x-\frac{1}{12}$

Now this line is in the form of y = mx + c

Here m = slope = -1/12

We have to calculate the slope of another line perpendicular to this line and passing through (0, 9).

Let the equation is y = m' + c'

We know m×m' = -1 for two perpendicular lines

$-(\frac{1}{12})(m')=-1$

m' = 12

Therefore the equation will be

y = 12x + c'

Since this line passes through ( 0, 9)

9 = 12×0 + c'

c' = 9

Now the equation will be

y = 12x + 9

This is the answer.

3 0

2 years ago

Read 2 more answers

Betsy is shopping for a new rug, and she finds a square rug that she wants to purchase for her living room. Before purchasing th

disa [49]

The answer is A: square root.

If she knows the area is x feet squared, then you have to find the square root of the number, to find the side length. Hope that helps!

6 0

2 years ago

Read 2 more answers