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


Related Questions

Which phrase describes density? height of a point above sea level force pushing on an area or a surface amount of mass in a certain volume amount of matter an object contains

Answers

A surface amount of mass in a certain volume amount of matter an object contains.

I believe the second sentence is the answer since density is the measurement that compares the amount of matter that an object has to its volume.

Answer:

C i think plz let me know ^w^

Step-by-step explanation:

I need help with this !

Answers

The third one because they equal 90

Answer:

the one closer to the right with the 56 and 34

try adding the angle's degree.

Step-by-step explanation:

Triangle X Y Z has centroid S. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form line segments X W, Y V, and Z T. The length of line segment T S is 3 m minus 1, the length of line segment S Z is 4 m + 8, and the length of line segment X S is 2 m + 12.
S is the centroid of triangle XYZ.

What is the length of SW?

Answers

Answer:

it is indeed B

Step-by-step explanation:

a few years late but its fine right

The length of SW will be 9.5. Each median will be divided into segments by the centroid at a ratio of 2:1.

What is the triangle?

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

The ratio of the centroid divides each median into segments will be 2:1.

[tex]\rm \frac{SZ}{TS} = \frac{2}{1} \\\\ \frac{4m+8}{3m-1} = \frac{2}{1}\\\\ 4m+8 = 2 (3m-1) \\\\ 4m+8 = 6m -2 \\\\ 2 m = 10 \\\\ m = 5[/tex]

The ratio of the centroid divides each median into segments will be 2:1.

[tex]\rm \frac{XS}{SW} = \frac{2}{1}\\\\ \rm \frac{2 m +12}{SW} = \frac{2}{1}\\\\ SW = \frac{19}{2}\\\\ SW = 9.5[/tex]

Hence the length of SW will be 9.5.

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What ordered pair corresponds to point D?
(in pic)
( , ) ?
i’ll give brainiest, don’t answer if you don’t know i need this due in less than 20 mins !!

Answers

Answer:

(2,0)

Step-by-step explanation:

point D is on point (2,0)

that is what it means

HELP PLEASE!!!!!
Bernite is selling candy bars for a school fundraiser. The school paid $20.00 for a box of 15 king-size candy bars and Bernite sells them for $2.00 each. What is the relationship between the amount of candy sold and the amount of money earned?

The relationship is linear. More than 1 answer



a.) The relationship is non-linear.



b.) The relationship is proportional.



c.) The relationship is non-proportional.



d.) The relationship always results in a positive profit.



e.) The relationship always results in a negative profit.

Answers

Answer:

b

Step-by-step explanation:

A vendor bought 100 g of garlic for 20 from a wholesaler. He then sold it at a gain of 10%. Findthe S.P. of 10 g of garlic for the vendor.

Answers

Answer:

2.2

Step-by-step explanation:

10% of 20 equals 2

10% of 100g equals 10g

22 = 110% 22/10= 2.2

therefore the S.P. of 10 g of garlic is 2.2

write an equatiob of line in slope intercept from passing through (-10,-8) and parallel to y=1/5x-3

Answers

Parallel = same slope
Y = 1/5x + b
Plug in point
-8 = 1/5(-10) + b
-8 = -2 + b, b = -6
Equation: y = 1/5x - 6

Find the area of this quadrilateral.

Answers

Answer:

18

Step-by-step explanation:

I just counted and put together pieces that would reasonably make a full square

Mabel has 8 coins, all of which are dimes and pennies. In all, they're worth 35¢. How many of each kind of coin does Mabel have?

Answers

Answer:

5 pennies

3 dimes

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.

Hope this helps!

please help. i have like a bunch of missing assignments

Answers

Answer:

The answer is 11 Units

Answer:

12

Step-by-step explanation:

base*height=6*2

6*2=12

If the toss of a coin comes down heads, you win two dollars. If it comes down tails, you lose fifty cents. How much would you expect to gain after 25 tosses (in $ dollars)

Answers

Answer:

$30.00

Step-by-step explanation:

Because if you think about it, about half of them are going to be heads and the other half are going to be tails.

hope this helped

We could expect $30.00 to gain after 25 tosses.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

It is given that If the toss of a coin comes down heads, you win two dollars. If it comes down tails, you lose fifty cents.

We need to find How much would you expect to gain after 25 tosses (in $ dollars).

Because if you think about it, you will see that about half of them are going to be heads and the other half are going to be tails.

Therefore, We could expect $30.00 to gain after 25 tosses.

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If f(x)=(x+1)2+3, what is f(5)?

Answers

9514 1404 393

Answer:

  39

Step-by-step explanation:

Put 5 where x is and do the arithmetic.

  f(5) = (5+1)^2 +3 = 6^2 +3 = 36 +3

  f(5) = 39

pls help nmn po bukas na pasahan​

Answers

Step-by-step explanation:

yan na po yung answer .....................................

Does this set of ordered pairs represent a function? (-1,5)(0,-3)(2,7)(4,0)(7,5)

Answers

Answer:

No

Step-by-step explanation:

You cant have 2 y values

Answer:

it is indeed a function

Step-by-step explanation:

Read this E[2X^2 â€" Y].
I know part of it is read as the expected value of two times x square but what do these symbol mean â€" Y.

Write it down in English letters not mathematical expression
Thanx

Answers

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.

If you don't know how X or Y are distributed, but you know E[X ²] and E[Y], then it's as simple as distributing the expectation over the sum:

E[2X ² - Y] = 2 E[X ²] - E[Y]

Or, if you're given the expectation and variance of X, you have

Var[X] = E[X ²] - E[X

→   E[2X ² - Y] = 2 (Var[X] + E[X]²) - E[Y]

Otherwise, you may be given the density function, or joint density, in which case you can determine the expectations by computing an integral or sum.

1. The Honda Accord uses 192 gallons of gasoline to travel 6 miles. At this
rate, how many miles can the vehicle travel per gallon of gasoline? *

A1152 miles
B32 miles
C0.031 miles
D198 miles

Answers

your awnser is a because 192x6=1152.

Which is an equation for the line that contains (-2,5) and has a slope of -7 ?
7x + y = 33
y=-7x+9
y=-7x-33
7y+y=-9

Answers

Answer:

y = -7x - 9

Step-by-step explanation:

The standard from of equation of a line is expressed as;

y = mx+c

m is teh slope = -7

c is the intercept

Get the intercept by substituting m = -7 and the point (-2, 5) into the equation;

y = mx+c

5 = -7(-2) + c

5 = 14 + c

c = 5-14

c = -9

Substitute m = -7 and c = -9 into the expression y = mx+c

y = -7x - 9

Hence the required equation of the line is y = -7x - 9

Jacob went camping with his family. At 7:15 A.M., Jacob set out to go fishing. It took 1 hour and 45 minutes to hike to the lake. Jacob spent 3 hours and 45 minutes fishing, and it took 1 hour and 15 minutes to hike back. What time was it when Jacob got back to camp?

Include A.M. or P.M. in your answer Please help me fast!!

Answers

Answer:

7:15 A.M. 1 hour and 45 min = 105 min3 hour 45 min= 225 min1 hour and 15 min = 105 min105(2)+ 225= 435 min= 7 hours and 25 min. Add that to the original total you get 14:40 P.M

48/8 = 42/x

Please select the best answer from the choices provided.

A: x = 42
B: x = 7
C: x = 8
D: x = 6​

Answers

Answer:

D because 48 ÷ 8 = 6 42 +6 = 7

The best answer from the choices provided,

is x = 7.

The correct option is B.

What is an expression?

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

An expression,

48/8 = 42/x

Applying cross multiplication,

x = 42(8)/48

x = 7

Therefore, the value of x is 7.

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Which set of numbers represents the DOMAIN for the following table below?
X -3 4 6 -12
Y 5 -6 2 0

A
{4,5,6,12}

B
{−12,−3,4,6}

C
{−12,3,4,6}

D
{0,5,−6,2}

Answers

Answer:

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

Step-by-step explanation:

The above question is asking the domain

Check over my math please.

Answers

Answer:

It looks like everything is correct :)

Step-by-step explanation:

Order from least to greatest.
0.64, 13/20, 63%

Answers

Answer:

63%, 0.64, 13/20

Step-by-step explanation:

Convert to decimal0.64 = 0.6413/20 = 0.6563% = 0.63Therefore, the answer is 63%, 0.64, 13/20

Find the slope-intercept form between the two points (0,-4) and (-3,-10) * 2 points
Your answer

Answers

Answer:

Y=2x-4

Step-by-step explanation:

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

Answers

Answer: 60 , 60 , 61

Step-by-step explanation:

Combine like terms 10p + 9 + 17e - 5e + 1

Answers

Answer:

10p + 12e + 10

General Formulas and Concepts:

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

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

Step 2: Simplify

Combine like terms (e):                    10p + 9 + 12e + 1Combine like terms (Z):                    10p + 12e + 10

Answer:

10p + 10 + 12e would be your answer

what is tax dependent​

Answers

Answer:

A dependent is a person other than the taxpayer or spouse who entitles the taxpayer to claim a dependency exemption. Each dependency exemption decreases income subject to tax by the exemption amount.

Step-by-step explanation:

A club offers me membership for a fee of 20$ plus a monthly fee of 18 b club offers a fee of 14$ and a monthly fee of 20 after how many month will it be the same

Answers

Answer:

wfcfzgcfxfdsdfgfd

Step-by-step explanation:

gfgboy

what is the nth term for
- 2, 7, 22, 43​

Answers

Answer:

3n^2 - 5

Step-by-step explanation:

C С Ε B Н H D in the image point A is the center of the circle. Which two line segments must be equal in length?​

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]

solve for x,y and z, show your work

2x+y 2=-3
y+z=2
-y +z =12

Answers

If u need help, all you do is simply just move the other equations to the other side for which ever letter your solving for
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