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 $800 and the daily rate for each partner is $1500. How much would the law firm charge the client daily if 9 associates and 4 partners were assigned to the case? How much would the law firm charge the client daily if aa associates and pp partners were assigned to the case?
Answer:
$8700
Step-by-step explanation:
Associates cost $800 each, you have 9 associates, so multiply 800 by 9 which gives you: $800x 9= $7200.
Partners cost $1500 each, you have 4 partners, so multiply 1500 by 4 which gives you: $1500x 4=$6000.
Then add the two together like this: $7200+$1500= $8700.
Answer:
The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partners.
Step-by-step explanation:
Given,
Per day charge of each associate = $800
Per day charge of each partner = $1300
Total charged per day = $12300
Let,
x be the number of associates
y be the number of partners
According to given statement;
800x+1300y=12300 Eqn 1
y = x+3 Eqn 2
The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partners.
Keywords: linear equation, addition
Step-by-step explanation:
What is another way to express 48 + 32?
(a) 6(8+6)
(b) 16(3 + 2)
(c) 3(16 + 11)
(d) 12(4 + 3)
Answer:d
Step-by-step explanation: tufryvztgv
if m*n=-12 and m+n=11 what is m? what is n?
x^2+11x-12=(x+m)(x+n)
Answer:
i think its -10
Step-by-step explanation:
hope im not wrong
Select the two correct factors of the polynomial:
Answer:
(x + 6)
(x - 7)
Step-by-step explanation:
To factor the polynomial in form [tex]x^{2} +bx+c[/tex] find two factors of C that have a sum of B
B = -1
C = -42
Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42
6 and -7 multiply to -42 and add to -1
Write in factored form:
(x + 6)(x - 7)
Answer:
(x - 7)(x + 6)
Step-by-step explanation:
Given
x² - x - 42
Consider the factors of the constant term (- 42) which sum to give the coefficient of the x- term (- 1)
The factors are - 7 and + 6 , since
- 7 × 6 = - 42 and - 7 + 6 = - 1 , thus
x² - x - 42 = (x - 7)(x + 6)
What is the equation of the line through (2,-4) and (0,4)?
Answer:
y = -1/4x + 4
Step-by-step explanation:
y2-y1/x2-x1
What is the solution to m/-7<_ 14
Answer:
-98
Step-by-step explanation:
simplify both sides
Mike can run a mile in 12 minutes. He starts at 11:30 AM. and runs 4 miles. What time does Mike finish his run at?
Answer: Mike stops running at 12:18 PM
Step-by-step explanation: We know he runs 1 mile each 12 minutes and we also knows he ran 4 miles so the equation is 12*4 or (12 times 4) which is equal to 48. We then add 38 minutes to 11:30 AM and end up at 12:18 PM.
Answer:
12:18 P.M
Step-by-step explanation:
So the first thing I did was find out the amount of time it takes Mike to run 4 miles by multiplying 12 x 4 = 48
So Mike spends 48 minutes running the 4 miles.
Now we add 48 minutes to 11:30. So since there is no such thing as 11:78 I first subtracted the 30 minutes from the 48 minutes and added that to 11:30 which gave me 12:00 pm and then I just added the reamaining18 minutes.
which in conclusion means,
Mike will finish his 4 miles at 12:18 P.M
Write this fraction in an equation using words: 2/3
Answer:
two-thirds plus five=five and two-thirds
Step-by-step explanation:
Solve the equation 2(3x + 7) + 5 = 49.
Answer:
x=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
If f(x)=−5x−8 and g(x)=2x+1, then what is (f∘g)(5.7)?
Answer:
(f*g)(5.7)= -452.6, hopefully that answers your question
30 Points. i fr need to pass this test i dont feel like taking it again my senior year
Answer:
3x^3+2x^2+2x+5
Step-by-step explanation:
The answer is A
The value of a new car decreases by about 15% in the first year. How much will a car be worth after one year if its initial value was $1,500? If you get stuck, consider using diagrams or a table to organize your work.
Answer:
After one year, the car will be worth $1,275.
Step-by-step explanation:
We know that a new car value decreases by 15% every year. So, we first need to find 15% of $1,500.
1,500 x 0.15 = $225.
Now, me must subtract $225 from the initial value, or $1,500.
1,500 - 225 = $1,275
Therefore, after one year, the car will be worth $1,275.
Hope this helps! :D
You are giving a rectangle with dimensions of: length = 60 inches and width = 4j. The perimeter of the rectangle is 400 inches. What is the values of j?
Answer:
perimeter is sum of all four sides; two of which are '4j' and other two are 60 inches each
Step-by-step explanation:
P= 2(4j) + 2(60)
We know perimeter is 400 inches
400 = 8j + 120
8j = 280
j = 35
When flipping a coin, the probability of getting tails is 50% and heads 50%. What is the probability of getting heads
or tails?
50%
60%
75%
100%
Answer:
50%
Step-by-step explanation:
Most people assume the toss of a coin is always a 50/50 probability, with a 50 percent chance it lands on heads, and a 50 percent chance it lands on tails
Answer:
100%
Step-by-step explanation:
There is a 50% chance of getting heads, and 50% chance of getting tails.
If these two options are added together, you get 100%. There are only two options on a coin flip anyways, so the probability of getting heads or tails would be 100%.
Can someone help pls?
Answer:
Step-by-step explanation:
Let the original width be x
Then the original length = x + 11
Area = x * (x + 11)
If you decrease each side by 7 you get
Area 1 = (x - 7)(x + 4)
So area - area1 =
x (x + 11) -98 = (x - 7)(x + 4) Remove the brackets
x^2 + 11x - 98 = x^2 - 7x + 4x - 28 Combine the like terms
x^2 + 11x - 98 = x^2 - 3x - 28 Add 98 to both sides
x^2 + 11x = x^2 - 3x + 70 Cancel the x^2
11x = -3x + 70 Add 3x to both sides
14x = 70 Divide by 14
x = 70 / 14
x = 5
=====================
Original conditions
Answer width = 5
Length = 16
If you check this, you will get totally bizarre answers. Don't check it. It gives negative results. You can do this in math, but not in the real world.
Select all simplified expressions of 3^4 divided by 3^9
Who has
✨ A n x i e t y ✨
Answer:
yupyup
Step-by-step explanation:
been having it for years now
Which expression can be simplified to find the slope of the trend line in the scatter plot?
D is 8-2
78-87
(B) [tex]\frac{78-87}{8-2}[/tex]
The slope of the trend line:A linear relationship is depicted by a trend line. [tex]Y=mx+b[/tex], where [tex]x[/tex] is the independent variable, [tex]y[/tex] is the dependent variable, m is the slope of the line and [tex]b[/tex] is the y-intercept, is the equation for a linear relationship.Scatter plot -Data visualization that depicts the relationship between two numerical variables is known as a scatterplot. The values for the two variables are used to depict each member of the dataset as a point with [tex]x-y[/tex] coordinates that correspond to those values.Therefore, (B) [tex]\frac{78-87}{8-2}[/tex] can be simplified to find the slope of the trend line in the scatter plot.
Know more about the slope of the trend line here:
https://brainly.com/question/3688621
#SPJ2
A pair of designer sneakers was purchased for $100. Since they were purchased, their price has increased by 15%. What is the new price?
Answer:
115
Step-by-step explanation:
A store had 5 packs of paper for $7.80. How much would it cost if you were to buy 3 packs
$1.56
$2.19
$7.80
$4.68
find x intercept if y=-5x+60
Answer:
-12 bla bla bla bla bla bla bla
PLEASE HELP FAST AS A MIXED RADICAL READ IT CARFULLY BRAINLIST!
Answer:
[tex]2\sqrt[3]{2}[/tex]
Step-by-step explanation:
This is equal to [tex]\sqrt[3]{8} * \sqrt[3]{2} = 2\sqrt[3]{2}[/tex]
Heyy I need help with these two questions for math before he emails my mom saying i didnt do my work bc my brain isnt working properly rn
Answer:
4 pieces and B
Step-by-step explanation:
Answer: The answer to the first one is probably 8.
Step-by-step explanation:
I just read the problem and saw it as a division problem. I then divided 4/6 by 1/12. I ended up with 8, if this is wrong i'm incredibly sorry.
Given the set of test scores: 42, 72, 74, 78, 80, 80, 85, 88, 92. If the outlier is removed, which statement is true? Select all that apply.
Choose all that apply:
The standard deviation decreases.
The mean increases.
The median decreases.
The range increases.
Answer:
Standard deviation decreases and mean increases
Step-by-step explanation:
The test scores are:
42, 72, 74, 78, 80, 80, 85, 88, 92
Mean = (42 + 72 + 74 + 78 + 80 + 80 + 85 + 88 + 92)/9 = 76.77
Median is 5th term which is 80
Range is highest score - lowest score = 92 - 42 = 50
Standard deviation from an online calculator gives 13.69
Now,we want to know what happens to those values when the outlier is removed. The outlier in this case is 42 because it is not consistent with other scores which range from 72 - 92.
Thus,the new set of scores are;
72, 74, 78, 80, 80, 85, 88, 92
New Mean = (72 + 74 + 78 + 80 + 80 + 85 + 88 + 92)/8 = 81.125
New Median will be the average of the 4th and 5th term which is (80 + 80)/2 = 80
New Range = 92 - 72 = 20
New Standard deviation from an online calculator gives 6.39
From the comparison above when the outlier is removed, we can say that;
- Mean increases
- remains the same
- Range decreases
- standard deviation decreases
The large rectangle below represents one whole.
A large rectangle with 25 equal sections, 11 of which are shaded
What percent is represented by the shaded area?
44%
I hope this helped!!!
Answer:
ummmmmmmmm 44?
Step-by-step explanation:
(6,5), 7x-3y=5 find the equation of the line that contains the given point and is parallel to the line. write the equation in slope intercept form
Answer:
y = (7/3)x - 9
Step-by-step explanation:
1. Convert given equation to y=mx+b form --> y = (7/3)x - 5/3
2. Equation of new line --> y = (7/3)x + b
Note: 7/3 is the slope and for lines to be parallel they need the same slope so both equations have 7/3.3. Plug in given values --> 5 = (7/3)(6) + b
4. Solve for b --> b = 5 - 14 b = -9
5. New line --> y = (7/3)x - 9
derivative of (a^x/Log a)?
[tex]\sf{\dfrac{a^x}{log(a)} }[/tex]
(OR)[tex]\sf{\dfrac{a^x}{ln(a)} }[/tex]
[tex]\large\bold{\underline{\underline{Solution:-}}}[/tex][tex]\sf{Let\ y=\dfrac{a^x}{ln(a)} }[/tex]
[tex]\sf{=\dfrac{d}{dx}\bigg[\dfrac{a^x}{ln(a)} \bigg] }[/tex]
(Linear differentiation)[tex]\sf{=\dfrac{1}{ln(a)}.\dfrac{d}{dx}(a^x) }[/tex]
[tex]\sf{=\dfrac{ln(a)a^x}{ln(a)} }[/tex]
[tex]\boxed{\sf{=a^x}}[/tex]
[tex]\large\bold{\underline{\underline{Applied:-}}}[/tex]✭ Linear differentiation→ [tex]\sf{[a.b(x)+c.d(x)]'=a.b'(x)+c.d'(x)}[/tex]
✭ Exponential function rule
→ [tex]\sf{(a^x)'=ln(a).a^x}[/tex]
Answer:
a^x.
Step-by-step explanation:
y = a^x / log a
Assuming the log is to the base e:
y = (1/ log a) * a^x
Derivative of a^x:
Let u = a^x
log u = log a^x
log u = x log a
1/u * du/dx = log a
du/dx = = u * log a
y = (1 / log a) * u
so dy/du = 1/log a
and dy/dx = dy/du * du/dx
= (1/log a )* log a u
= u
= a^x.
3x−8−12x=42
what is x?
Answer:
x = -50/9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
3x - 8 - 12x = 42
Step 2: Solve for x
Combine like terms: -9x - 8 = 42Isolate x term: -9x = 50Isolate x: x = -50/9A) Find the distance of line segment PR. Round answer to the nearest tenth. B) Find the distance around the park (perimeter).
Answer:
A. [tex] PR = 80.6 yd [/tex]
B. Perimeter = 190.6 yd
Step-by-step explanation:
A. Distance between P(10, 50) and R(80, 10):
[tex] PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] PR = \sqrt{(80 - 10)^2 + (10 - 50)^2} [/tex]
[tex] PR = \sqrt{(70)^2 + (-40)^2} [/tex]
[tex] PR = \sqrt{4,900 + 1,600} [/tex]
[tex] PR = \sqrt{6,500} [/tex]
[tex] PR = 80.6 yd [/tex] (nearest tenth)
B. Distance around the park = Perimeter = PR + PQ + QR
PR = 80.6 yd
PQ = |50 - 10| = 40 yd
QR = |80 - 10| = 70 yd
Perimeter = 80.6 + 40 + 70
Perimeter = 190.6 yd
suppose a+b=10 and the value of a increases by 1. If the sum remains the same, what must happen to the value of b?
Answer:
[tex]b[/tex] decreases by [tex]1[/tex]
Step-by-step explanation:
If the value of [tex]a[/tex] increases by [tex]1[/tex] and the sum remains the same, then the value of [tex]b[/tex] decreases by [tex]1[/tex].
Example:
Suppose [tex]a=7[/tex] and [tex]b=3[/tex].
[tex]a+b = 10[/tex]
[tex]b = 10-a[/tex] (minus [tex]a[/tex] on both sides)
Now, let [tex]a = 8[/tex] ([tex]a[/tex] has increased by [tex]1[/tex]):
[tex]b = 10-8[/tex]
[tex]=2[/tex]
From the comparison of the previous value of [tex]b[/tex] to the current value of [tex]b[/tex], the value of [tex]b[/tex] has decreased by [tex]1[/tex].
Hope this helps :)