A lawyer charges a $75 consultation fee and then $120 per hour thereafter.
a). Identify the dependent and independent variable.
b). Make a table of values for the cost of $C of an appointment with the lawyer for time t hours where t= 0,1,2,3,4.
c). What is the relationship between C and t linear?
d). If you graphed this relationship, is it sensible to join the points graphed with a straight line? Give reason with your answer.
e). For every increase of 1 hour for t, what is the change in C?
f). For an appointment with the lawyer, what is the fixed cost and variable cost?

Answers

Answer 1

Answer:

(a) The dependant veriable is the $120 per hour and the independant veriable is the $75 consultaion fee.
(b) The table of vaules for this would look like this,
[tex]\frac{C}{T} \frac{75}{0} \frac{195}{1} \frac{315}{2} \frac{435}{3} \frac{555}{4}[/tex], where C = cost and T = time.
(c) The relationship between C and T is linear, beacause with the more hours you take the cost increases.
(d) Yes, it is sensible because the points would be in line due to the steady increase of the hourly rate.

(e) For every hour spent the cost increases 120 dollars.
(f) The fixed cost is 75 dollars for consultation and the veriable cost is 120 per hour.


Related Questions

1. Mlla's cranbenyulce recipe uses 3 cups of water and 1 cup of cranberry concentrate.
Enter the percentage of the cranberry Juice recipe that is water.
126

Answers

Answer:

¾. because 3 out of 4 are water cups

Answer:

75%

Step-by-step explanation:

3 cups of water to 1 cup of cranberry concentrate.

So, 4 cups of ingredients.

The percentage of  the cranberry juice that is water:

3 cups of water/4 cups of ingredients= 3/4.

To express 3/4 in percent, we multiply the fraction by 100%(percent).

[tex]\frac{3}{4}[/tex] * 100% = 75%

Hope this helps!

Please mark as brainliest!

Idc about this question, someone answer the question before this plsss, but here, math problem for fun:

Graph this and simplify it >:):
4x - 8x + 6x^2 - 28x + 7y + (y - 4)^2 - 20y = (y + 5 - x)^2

Answers

Answer:

   

Step-by-step explanation:


PLEASE HELP!!!

Write an expression using fractions to show how to determine the amount that each person will pay?Then calculate each person's contributions showing all steps in long division.
my chart:
jazzy: 35.7$
emily:48.9$
sarah:48.9$
layla:19.3$
total amount: 327$

Answers

Four people went shopping at a local grocery store, and bought a random amount of items. What is the total?Jane: 4.26$John: 9.76$Zoey: 6.33$Hailey: 14.00$

________________________________________________________

Solve

To solve this problem, we must add each price together for the total.

[tex]4.26 + 9.76 + 6.33 + 14 = 34.35\[/tex]

To calculate our total store profits while finding the four contributions, we could divide by percent. For this case, 6%, also equal to 0.06

[tex]\frac{(estimate)34}{6\%(0.06)} = 573(estimate)[/tex]

Now that we have 573 as our estimate, subtract 573 by 34

[tex]573 - 34 = 539[/tex]

Therefore, the store's total profits were 573 dollars, and the four contributions from Jane, John, Zoey, and Hailey contributed to 34 dollars of it.

________________________________________________________

SolvedWe made 573$ total! That is a lot.Note that using percent and division was actually to calculate the store's total profits followed by the four contributions listed earlier. If any of this confuses you, please feel free to ask a question.

________________________________________________________

Questions?

Ask in the comments box.

write 82/10 as a mixed number in simplest terms brainly

A) 8 2/10
B) 10 1/4
C) 8 1/5
D) 2 4/5

Answers

Answer:

C) 8 1/5

Step-by-step explanation:

82/10= 8 2/10= 8 1/5

Answer:

A) 8 2/10

Step-by-step explanation:

10 goes into 82 8 times with a remainder of 2

If y varies inversely as x and y=37 when x=33, find y if x=5

Answers

Answer: y=6

Explanation:

NO LINKS!! Explain your answers (show the support by showing the changes in x and y on your table). If the relationship is linear, inverse, or exponential, write the equation.
#5 and #6​

Answers

Answer:

Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.

Inverse relationship:  the value of one variable decreases as the value of the other variable increases.

Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)

Question 5

As the x-value increases (by one unit), the y-value decreases.

Therefore, this is an inverse relationship.

The y-values are calculated by dividing 35 by the x-value.

[tex]\sf y=\dfrac{35}{x}[/tex]

**I believe there is a typing error in the table and that the y-value of x = 3 should be 11.67**

Question 6

As the x-value increases, the y-value increases.  The y-value increases by a factor of 5 for each x-value increase of 1 unit.

Therefore, this is an exponential relationship.

[tex]\sf y=5^x[/tex]

need help with this math hw

Answers

It’s option number 1

True me it’s hard to explain but I’m 100% sure it’s number 1

For the given equation, the center will be (1, -3) and the radius will be 3.

Correct option is (3)

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Moreover, every angle has rotational symmetry around the center.

As per the given data:

Equation of the circle is [tex](x - 1)^2 + (y + 3)^2 = 9[/tex].

For a circle with equation [tex](x - a)^2 + (y - b)^2 = r^2[/tex]

The center is given by (a, b) and the radius is given by r.

Similarly comparing with the equation  [tex](x - 1)^2 + (y - (-3))^2 = 3^2[/tex].

The center will be (1, -3) and the radius will be 3

Hence, For the given equation the center will be (1, -3) and the radius will be 3.

To learn more about circle, click:

brainly.com/question/11833983

#SPJ7

Fill in the blanks below with the correct units. (a) Jessica's pet dog has a mass of 6 ? . (b) The soccer field at Jessica's school is 110 ? long. (c) Joe squeezed an orange and got about 60 ? of juice.

Answers

Answer:

a. 6 kg.

b. 110 m long.

c. 60 ml of juice.

what is the 5th grade meaning of congruent

Answers

Congruent means the same shape and the same size

.
Fill in the blanks to find the difference in the expressions.
-2x+5
8
A
A x2+
С
X
B x +
11
x +4
X +3
x2 + 7x +
D

Answers

[tex]\dfrac{-2x+5}{x+4} - \dfrac{8}{x+3}\\ \\= \dfrac{(-2x+5)(x+3)-8(x+4)}{(x+4)(x+3)}\\\\=\dfrac{-2x^2-6x+5x+15 -8x -32}{x^2+3x+4x+12}\\\\=\dfrac{-2x^2-9x-17}{x^2+7x+12}\\\\\\=\dfrac{-2x^2+(-9)x +(-17)}{x^2+7x+12}\\\\\text{Hence, }~ A=-2,~ B=-9, ~C=-17, ~D=12[/tex]

Find the solutions to the equation below.

Check all that apply.

2x^2 + 7x + 3 = 0

A. x = 4

B. x = -1/2

C. x = 2

D. x = 7

E. x = 3

F. x = -3

Answers

Answer:

B and F.

Step-by-step explanation:

2x^2 + 7x + 3 = 0

2x^2 + 6x + x + 3 = 0

2x(x + 3) + 1(x + 3) = 0

(2x + 1)(x + 3) = 0

x = -1/2, -3.

If the circumstances of the circle below is 72, what is the length of AB (the minor arc)?

Answers

Answer:

12

Step-by-step explanation:

In the given circle circumference of the circle is = 72.

Since circumference of the circle = 2πr

[tex]2\pi r=72[/tex]

[tex]\frac{2*22}{7*r}=72[/tex]

[tex]r=\frac{72*7}{44}=\frac{504}{44}=\frac{252}{22}=\frac{126}{11}=11.45[/tex]

[tex]=\pi r \;theta /180=\frac{22}{7*11.45}*\frac{60}{180}[/tex]

[tex]11.99=12(About)[/tex]

Thus, Answer = 12

~lenvy~

Solve the following system of equations:
{−3x+4y=7, 7x−12y=−11
Provide your answer below:

Answers

If I am correct it is -11

Find the value of x. X+5 4 2x A x = [?] Enter​

Answers

Answer:

x = 3

Step-by-step explanation:

In [tex]\triangle ABC,\: DE||AC[/tex]

[tex]\implies [/tex]By Basic Proportionality Theorem:

[tex]\frac{BD}{DA}=\frac{BE}{EC} \\ \\ \implies \: \frac{x + 5}{2x} = \frac{4}{3} \\ \\ \implies \: 3(x + 5) = 4(2x)\\ \\ \implies \: 3x +15 = 8x \\ \\ \implies \: 3x - 8x = - 15 \\ \\ \implies \: - 5x = - 15 \\ \\ \implies \: x = \frac{ - 15}{ - 5} \\ \\ \implies \: x = 3[/tex]

Luke bought a pair of shoes online for $78. He used a coupon code to get a 40% discount. The website also applied a 20% processing fee to the price after the discount. How much was the processing fee? Round to the nearest cent.

GIVING BRAINLIEST​

Answers

Answer:

$9.36

Step-by-step explanation:

Te processing fee was applied to the discounted price.

The discounted price is

78 - 40% = 78*(100 - 40)/100 = 78*0.6 = 46.8

Amount of fee is

20% of 46.8 = 0.2*46.8 = 9.36

Find the value by using logarithms
25.753
0.5341

Answers

Step-by-step explanation:

589292 is the correct answer:-)


Using proportions to solve for missing sides.
DGH~DEF
Find the value of x.

Answers

Answer:

25

Step-by-step explanation:

If ΔDGH ~ ΔDEF , then [tex]\frac{DG}{DE}[/tex] = [tex]\frac{GH}{EF}[/tex]

[tex]\frac{x+3}{2x-1}[/tex] = [tex]\frac{52}{91}[/tex]

After cross-multiplication: 52(2x - 1) = 91(x + 3)

104x - 52 = 91x + 273

13x = 325

x = 25

Answer:

x = 25

Step-by-step explanation:

DGH~DEF ⇒ their corresponding sides are proportional

then

[tex]\frac{DG}{DE} =\frac{GH}{EF}[/tex]

then

[tex]\frac{52}{91} =\frac{x+3}{2x-1}[/tex]

then

[tex]\frac{4}{7} =\frac{x+3}{2x-1}[/tex]

then

4(2x-1) = 7(x+3)   [cross multiply]

then

8x - 4 = 7x + 21

then

8x - 7x = 21 + 4

then

x = 25

What must be a factor on the polynomial Function F(x) graphed on the coordinate plane below?

X-3
X-1
X+1
X+2


Answers

Answer:

x - 1

Step-by-step explanation:

The graph touches the x-axis at x = 1, its factor would be (x - 1)

What is cosK?
(25)/(7)
(25)/(24)
(7)/(25)
(24)/(25)

Answers

Step-by-step explanation:

7/25

we need to remember this triangle with 90° 7, 24, 25

Is 5/2 to the right of number 1 on number line?

Answers

Answer:

Yes;

Step-by-step explanation:

5/2 = 2 1/2

2 1/2 > 1

Yes, 5/2 is to the right of 1 on a number line.

Yes it would be to the right of number one


Explanation:the fraction 5/2 represents 2 and a half thus since numbers greater than one are to the right of the number line 5/2 is to the right

A shop charges `\$1.95` for a small `3`-ounce soft serve. 



What is the cost per ounce of soft serve?

Answers

0.65 because you divide 1.95 by 3!

please help me Find m

Answers

Answer: 70 degrees

Step-by-step explanation:

HELP ASAP.


39 BRAINLY POINTS PLUS BRAINLY USER​

Answers

Answer:

1

Step-by-step explanation:

Given:

m = 12 n = 1/4

Substitute the values into the expression:

1/2(m - 4) × n

⇒ 1/2(12 - 4) × 1/4

Simplify the expression:

⇒ 1/2(8) × 1/4

⇒ 4 × 1/4

⇒ 4 ÷ 4

1 (Option B)

Answer:

D. 1

Step-by-step explanation:

x − 6 = -4 what is the solution

Answers

Step-by-step explanation:

[tex]x - 6 = - 4 \\ \\ \implies \: x = - 4 + 6 \\ \\ \implies \: x = 2[/tex]

Answer:

2

Step-by-step explanation:

because if you substitute 2-6 you will get negative 4

2x+3y=8 find the solution using addition elimination method

Answers

Answer:

X equals 1, and Y equals 2

First, find the value of 2x, we have to assign one to make the problem work.

[tex]2x = 2 * 1[/tex]

Now, find y.

[tex]3y = 3 * 2[/tex]

Find the results of the multiplication. Remember that anything times 1 is always the same number, the base number.

[tex]2 * 1 = 2[/tex]

[tex]3 * 2 = 6[/tex]

Now, add.

[tex]6 + 2 = 8[/tex]

________________________________________________________

Now, we go over what we learned.

________________________________________________________

What have we learned?

We learned how to make inequalities true by assigning values to substitutions.

Questions related to this topic? Ask me in the comments box.


A bag of balloons contains 4 red balloons, 11 green balloons, 15 yellow balloons, and 8 orange balloons. What is the probability that
a randomly selected balloon would be green or orange?

A. 23/38

B. 13/19

C. 15/38

D. 1/2

Answers

D. 1/2 because the amount green and orange balloons combined is 19 and red and yellow combine is also 19 balloons so there is a 50% chance

Answer:

D 1/2

Step-by-step explanation:

Probability is  the ratio of the number of favorable outcomes to the total number of outcomes

number of favorable outcomes = 11+8 = 19

total number of outcomes = 38

                    The probability that a randomly selected balloon would be green or orange is

  19/38 = 1/2

Hellp me please DDDDDDDDDDD:

Answers

Answer:

238 mm

Step-by-step explanation:

11x5 = 55

11x4=44

11x5=55

11x4=44

4x5=20

4x5=20

______(Add all up)

= 238 mm

Hope this helps :)

Write the number in standard notation. 9 × 104

90,000
904
360
9,000

Answers

Answer:

90000

Step-by-step explanation:

because 10^4 = 10,000

then 9 x  10,000 = 90,000

what is 10/9 in a fraction

Answers

This kinds of fractions called improper fractions

The rule is

p/q is a rational number and p>q

We can turn it into mixed fraction

10/91-1/9

if x+y = -10 and x-y = 2 what is the value of x

Answers

Answer:

  x = -4

Step-by-step explanation:

The solution to a "sum and difference" system of equations can be found by adding the equations together.

  (x +y) +(x -y) = (-10) +(2)

  2x = -8 . . . . . . simplify

  x = -4 . . . . . . . divide by 2

_____

Additional comment

 y = -6, though this question did not ask that value.

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