A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $700 and the daily rate for each partner is $1700. The law firm assigned 4 more partners than associates to the case and was able to charge the client $21200 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system.

Answers

Answer 1

Let the daily rate of each associate, A = $700

And the daily rate of each partner, P = $1700

Let the total number of individuals involved in the case = NT

Total number of partners = NP

Total number of associates = NA

NP + NA = NT -------- (i)

From the question; NP - NA = 4 -------- (ii)

From (i), NA = NT - NP

Substitute in (ii) as: NP - (NT - NP) = 4

Therefore, 2NP - NT = 4.

And NP = 2 + (NT/2) --------- (iii)

Substitute for NP in (i) above: NT = NA + 2 + (NT/2)

Therefore, NT - (NT/2) - 2 = NA.

NA = (NT/2) - 2 ---------- (iv)

Finally, the total daily rate was $21200. This is a composite of the daily rate and numbers of both associates and partners.

Therefore, (A * NA) + (P * NP) = $21200 ---------- (v)

To find the individual number of associates and partners involved in this case, first substitute the values of NP and NA from (iii) and (iv) respectively into (v) such that the only variable in (v) is NT.

Solve for NT and then use the value to find NP and NA.

NT = 16

NP = 10

NA = 6

Notice that 10 - 6 = 4. Q.E.D

Hope this helps.

Answer 2

Answer:

p=a+4

Step-by-step explain:

Let a=the number of associates designated

let p=the number of partners designated

Write System of Equations:

700a+1700p=21200


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Looks like a badly encoded/decoded symbol. It's supposed to be a minus sign, so you're asked to find the expectation of 2X ² - Y.

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Answers

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Answers

Question:

In the image, point A is the center of the circle. Which two line segments must be equal in length?

Answer:

[tex]HI = EF[/tex]

Step-by-step explanation:

See attachment for figure

Required

Which two lines must bet equal

From the diagram, we have the following 4 lines:

BCHIEFAD

However, among the 4 lines, only two lines pass through center A.

These lines are:

HIEF

The length of these two line segments because they both pass through the center and they both represent the diameter of the circle.

Hence,

[tex]HI = EF[/tex]

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Answers

Answer:

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Step-by-step explanation:

Answer:

3 dimes and 5 pennies

Step-by-step explanation:

Dimes can only add up to 10s so, it would have to be 3 dimes. Pennies can only add one at a time. So the answer for pennies would be 5. And 5+3=8.

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Which set of angle measures cannot be the angle measures for a triangle?

Answers

Answer: 60 , 60 , 61

Step-by-step explanation:

48/8 = 42/x

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Answers

Answer:

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The best answer from the choices provided,

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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General Formulas and Concepts:

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

10p + 9 + 17e - 5e + 1

Step 2: Simplify

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Answer:

10p + 10 + 12e would be your answer

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Answers

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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hope this helped

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Step-by-step explanation:

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Answers

Answer:

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D
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Answers

Answer:

B. (-12,-3,4,6)

Step-by-step explanation:

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Answers

Answer:

it is indeed B

Step-by-step explanation:

a few years late but its fine right

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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