NO LINKS!! Explain your answer (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.
#7 and #8​

The arrangement of sales which would cause Arderi Air Conditioning to break even is Mary sells 54 units; Jay sells 51 units; Abby sells 43 units.

The break even point is the point at which the cost of production of an item to produce is equal to the revenue generated after selling it.

Arderi Air Conditioning sells one primary model of air conditioner. Each unit of this model costs them $61.25 to produce, but it sells for $142.50 apiece. Thus,

Arderi Air Conditioning employs three salespeople, each of whom earns a different commission per unit sold, as shown in the following table.

It is known that one salesperson sold 51 units, one salesperson sold 43 units, and one salesperson sold 54 units. Thus, the total AC sold is,

[tex]n=51+43+54\\n=148[/tex]

Now, the selling price is $142.50. Thus, the revenue after selling 148 units is,

[tex]R=148\times142.50\\R=21090[/tex]

The cost price is  $61.25. Thus, the cost of production of 148 units is,

[tex]R=148\times61.25\\R=9065[/tex]

Last month, Arderi Air Conditioning had a total fixed overhead cost of $7,622.25. Suppose, Mary sells 43 units; Jay sells  units; Abby sells 54 units. Thus, the total cost,

[tex]C_t=7622.25++9065+43\times36.25 +51\times28.50 +54\times25.75\\ C_t=21090[/tex]

The total cost is equal to the total revenue. This point is break even point.

Thus, the arrangement of sales which would cause Arderi Air Conditioning to break even is Mary sells 54 units; Jay sells 51 units; Abby sells 43 units.

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Answer:

c.

Mary sells 43 units; Jay sells 51 units; Abby sells 54 units

Answer:

d=1

Step-by-step explanation:

d=2*r

r=(1/2)

d=2*(1/2)=1

Answer:

[tex]D)\frac{1}{m^{18} }[/tex]

Step-by-step explanation:

Multiply [tex]m^{-1}[/tex] by [tex]m^{5}[/tex] by adding the exponents.

Use the power rule [tex]a^{m} a^{n} =a^{m+n}[/tex] to combine exponents.

[tex](\frac{m^{-1+5} }{m^{-2} } )^{-3} \\[/tex]

Add -1 and 5.

[tex](\frac{m^{4} }{m^{-2} } )^{-3}[/tex]

Move [tex]m^{-2}[/tex] to the numerator using the negative exponent rule [tex]\frac{1}{b^{-n} } =b^{n}[/tex].

[tex](m^{4} m^{2} )[/tex]

Multiply [tex]m^{4}[/tex] by [tex]m^{2}[/tex] by adding the exponents.

Use the power rule [tex]a^{m} a^{n} =a^{m+n}[/tex] to combine exponents.

[tex](m^{4+2} )^{-3}[/tex]

Add 4 and 2.

[tex](m^{6} )^{-3}[/tex]

Multiply the exponents in [tex](m^6)^{-3}[/tex]

Apply the rule and multiply exponents, [tex](a^m)^n=a^{mn}[/tex].

[tex]m^{6*-3}[/tex]

Multiply 6 by -3.

[tex]m^{-18}[/tex]

Rewrite the expression using the negative exponent rule [tex]b^{-n} =\frac{1}{b^{n} }[/tex].

[tex]\frac{1}{m^{18} }[/tex]

Answer:

1 1/6 or 7/6

Step-by-step explanation:

Divide both 14 and 12 by 2

The area of the shaded part of the given figure is 60 square inches'

The given figure is made up of a rectangle and 2 similar triangles

Area of the shaded part = Area of rectangle + area of 2 triangles

From the figure

Area of rectangle = 12 * 4 = 48 square in

Area of one triangle = 0.5(6)(4) = 12 square in

Area  of the figure = 48 + 12

Area  of the figure = 60 square inches'

Hence the area of the shaded part is 60 square inches.

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Answer: a=4

b=1600x

Step-by-step explanation:

Answer:

B. - 23 < -6

Step-by-step explanation:

Answer:

You answer is.

Step-by-step explanation:

Example Problem.

y = 2^ (x - h) + k

y = 8^(x-0) - 9

The h = 0 so there no transition left/right.

There is a k = -9 which means transition down/up but it is a negative so down.

Domain: all real number ( -inf , +inf)

Range: (k, inf) -> (-9, +inf)

k = -9 is also y=-9 that the graph can't pass.

Answer:

1 L

Step-by-step explanation:

Kitchen sinks are pretty large in terms of volume in Liters

use the 1 L container

Solution 1

Solution 2

Solution 3

#1

#2

Cancel by 4

#3

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The given function is :

[tex]\qquad \tt \dashrightarrow \:f(x) = \frac{1}{x} [/tex]

here, for each value of x there is an unique value of f(x), so we can infer that it's a " one - one " function.

but it isn't an onto function because for value of x as 0, we have no value of f(x) [ undefined ]

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ y = 6(x+1)^2-9\implies y = 6[x-(\stackrel{h}{-1})]^2\stackrel{k}{-9}\qquad \qquad \stackrel{vertex}{(-1~~,~~-9)}[/tex]

To get an 85 average, Laurence needs a score of 25 on his upcoming biology exam.

What is math average?

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics.

                 When calculating the average for a set of data, we first sum up all the values and divide the result by the total number of values.

Average = (sum of values) / (number of values)

The total of Laurence's marks on the first four biology exams can be calculated using the following formula

Sum of scores = 87 + 80 + 75 + 85

= 327

We need the total of all five scores to be 85 x 5 = 425 in order to obtain an average of 85 for five tests.

Therefore, We need the total of all five scores to be 85 x 5 = 425 in order to obtain an average of 85 for five tests.

Next score = (sum of all five scores) - (sum of first four scores)

= (85 x 5) - 327

= 25

Therefore, To get an 85 average, Laurence needs a score of 25 on his upcoming biology exam.

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Answer:

what is the question?

do you have to find how much she is investing?

Answer:

11 : 18

Step-by-step explanation:

to figure out number of female members (not neccessary to solve this problem)

18 members = male + female members

18 members = 11 members + female members

-11                      -11

---------------------------------------------------------------------

7 members = female members

ratio of males to all club members

11 : 18

Answer:

1 pound of peanuts cost 3 dollars

1 pound of wallnuts costs 2 dollars

Step-by-step explanation:

24/6=4

12/6=2

Answer:

  9990 years

Step-by-step explanation:

The exponential function with given values filled in can be solved for the unknown using logarithms.

__

  Q(t) = 12 = 36e^(-0.00011t)

  1/3 = e^(-0.00011t) . . . . . . divide by 36

  ln(1/3) = -0.00011t . . . . . . take natural logs

  t = ln(1/3)/(-0.00011) . . . . divide by the coefficient of t

  t ≈ 9990 . . . years

Answer: A,C,D

Step-by-step explanation:

Answer:

bank account and electricity

Step-by-step explanation:i tried the other one and it was all incorrect

Answer:

a) We need to find p(x<68.15)

Standardize x to z, we have, z = (68.15-μ)/σ

=(68.15-57)/8.1

=1.38

Reading from standard normal tables,

p(z<1.38) =0.9162.

b) We need to find p(x>54.4)

Standardize x to z, we have, z = (54.4-μ)/σ

=(54.4-57)/8.1

=-0.32

Reading from standard normal tables,

p(z>-0.32) = 0.6255

Answer:

D

Step-by-step explanation:

To turn the fraction of 1 1/2 to decimal would be : 1.50 add fifty percent because you have to add 6 to 12 and six is half, so you add half. Half of 150 is 75 so add them you get 225 and as a fraction, that's 2 1/4. Already you have the first part done. Since there is only one answer with 2 1/3 your answer has to be D.

Answer:

(a) check the first one, and the second one

(b) check the last one

Step-by-step explanation:

This is quite easy actually.

3x+24 = 3 * x + 3 * 8

3(x+8) using distribute property.

3x + 24

You cannot simplify 3x+24 any further

And 3(8x+1) just doesn't work

since it's multiplying

The "*" is an X sign

The first, second, and third are not correct

But the last one is.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Area of circle :

[tex]\qquad \sf  \dashrightarrow \:\pi r {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \pi\times (3.5) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:12.25 \: \pi[/tex]

[tex]\qquad \sf  \dashrightarrow \:38.465 \: \: unit {}^{2} [/tex]

Answer:

38.465 units²

Step-by-step explanation:

The formula to find the area of a circle is πr². Simply substitute the radius in the formula to find the area.

Substituting the radius in the formula:

⇒ πr²

⇒ π(3.5)²                                                                        [Radius (r) = 3.5 units]

Evaluating the area:

⇒ π x 12.25

⇒ 3.14 x 12.25

⇒ 38.465 units²

Answer:

read step by step

Step-by-step explanation:

6 is +4.

19, 23, 27, 31

7 is all perfect square numbers

25, 36, 49, 64

8 is x2.

32, 64, 128, 256

9 is each number multiplied by the next. ex: 1x2=2, 2x3+6, 3x4=12

so the next few would be 30, 42, 56, 72

Answer:

ans 19785.719

Step-by-step explanation:

formula πr^2

Answer:

The first 1 is the answer (a)

Step-by-step explanation:

Answer:

5.2 I hope this helps. Im not the best at math...

Answer:

the answer should be like 5.2 or something close to that.

Step-by-step explanation:

i tried doing the math no promises that its right..

Answer:

48 ≥ 4x + 2y

44 ≥ 2x + 2y

    First, we will look at assembling hours.

"The standard model requires 4 hours to assemble [and] the artisan model requires 2 hours to assemble"

    We also know they have 48 hours per day for assembly, x is standard model and y is artisan model.

48 = 4x + 2y

    Lastly, they do not need to make that many, but they can so we will use greater than or equal to.

48 ≥ 4x + 2y

    Now let us look at finishing hours.

"The standard model requires ... 2 hours for finishing touches. The artisan model requires ... 2 hours for finishing touches."

    We also know they have 44 hours per day for assembly, x is standard model and y is artisan model.

44 = 2x + 2y

    Again, they do not need to make that many, but they can so we will use greater than or equal to.

44 ≥ 2x + 2y