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. Arderi Air Conditioning employs three salespeople, each of whom earns a different commission per unit sold, as shown on the following table. Salesperson Commission/Sale Mary $36.25 Jay $28.50 Abby $25.75 Last month, Arderi Air Conditioning had a total fixed overhead cost of $7,622.25. It is known that one salesperson sold 51 units, one salesperson sold 43 units, and one salesperson sold 54 units. Which arrangement of sales would cause Arderi Air Conditioning to break even? a. Mary sells 54 units; Jay sells 51 units; Abby sells 43 units b. Mary sells 54 units; Jay sells 43 units; Abby sells 51 units c. Mary sells 43 units; Jay sells 51 units; Abby sells 54 units d. Mary sells 43 units; Jay sells 54 units; Abby sells 51 units Please select the best answer from the choices provided

Answer:

Here is the answer

Step-by-step explanation:

Answer:

31 feet

Step-by-step explanation:

circumference = pi × diameter

pi × diameter = 31.4 (10×3.14)

Answer: 31 ft

Step-by-step explanation:

circumference = pi × diameter

pi × diameter = 31.4 (10×3.14)

Answer:

A

Step-by-step explanation:

If we start from top to bottom all we have to do is check which ones are not equal.

The first one is

[tex]a^2(b+c) = a^3(\frac{b}{a}+c)[/tex]
If we multiply is out we get

[tex]a^2b+a^2c = a^3*\frac{b}{a}+a^3c\\\text{which turns into}\\a^2b+a^2c=a^2b+a^3c[/tex]

That is NOT equal to the other. Making the answer A.

Answer:

Revenue was 55,614 the year before

Step-by-step explanation:

Decay Formula: y = a*(1-r)^x

So:

y = 89700 * (1-0.38)^1

y = 55614

well, their total revenue last year was "x", which oddly enough is 100%.  Now, this year's revenue is 38% more than that, well, 100% + 38% = 138%, and we also know that it's 89700, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 89700& 138 \end{array} \implies \cfrac{x}{89700}=\cfrac{100}{138}\implies \cfrac{x}{89700}=\cfrac{50}{69} \\\\\\ 69x=4485000\implies x=\cfrac{4485000}{69}\implies x=65000[/tex]

Answer:

8 × square root of 2

Step-by-step explanation:

50 is 25 × 2 and we take 5 outside of the root and were left with 2 inside.

18 is 9 × 2 and we take the 9 outside of the root so it becomes 3 with 2 left inside the root.

then we just find the sum

Answer:

The function h(x) is increasing on the interval (-2, ∞)

Step-by-step explanation:

Given function:  [tex]h(x)=3 \sqrt{x+2}[/tex]

We cannot square root a negative number, therefore the domain (x-values) is restricted:

[tex]x+2\geq 0 \implies x\geq -2[/tex]

Therefore, [tex]h(x)\geq 0[/tex]

⇒ The function h(x) is increasing on the interval (-2, ∞)

Answer:

FLVS ANSWER D-  The function h(x) is increasing on the interval (–2, ∞).

Step-by-step explanation:

you dont need one

Answer:

Step-by-step explanation:

front side: 6x3 = 18

back : 6x3 = 18

right:6x2 = 12

left:6x2 = 12

top: 3x2 =6

bottom: 3x2 =6

18 + 18 + 12 + 12 + 6 + 6

= 72

Answer:

Three hundred twenty-one and two hundred twenty-two thousandths.

Step-by-step explanation:

Take a glance at the image.

Please accept my apologies if it appears to look bad-

Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number

So you can use the factor tree to find the GCF and LCM

The solution is, Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number

Prime factorization is a process of writing all numbers as a product of primes. So, for example, say if we have something like the number 20. We can break that down into two factors. We can say, “well, that's 4 times 5.” And notice, 5 is a prime number.

here, we have,

we need to explain how prime factorization is useful to find the greatest common factor and least common multiple.

now, we know that,

gcf is: Greatest Common Factor. The highest number that divides exactly into two or more numbers. It is the "greatest" thing for simplifying fractions.

and,

lcm is : LCM denotes the least common factor or multiple of any two or more given integers. For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.

so, we have,

Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number.

So you can use the factor tree to find the GCF and LCM.

Hence, The solution is, Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number.

learn more on prime factorization click:

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Answer:

i think the answer might be E.

the answer is A option that is Angle M

answer:

804.980cm²

explanation:

attached

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if this helped, please consider giving brainliest !

Answer:

3120 think

Step-by-step explanation:

i just did 3x8x10x13

Answer:

110 :)

Step-by-step explanation:

Triangle total angle measurement: 180

Now lets solve!

28 + 42 + ? = 180

70 + ? = 180

Now we have to subtract!!

180 - 70 = 110

Have an amazing day!!

Please rate and mark brainliest!!

Before we solve this problem:

    ⇒ let's figure out what all the variables in the equation stand for

         ⇒ that means we substitute 8 into 't' of the equation

                 [tex]R(t) = 225e^{0.375t} =225e^{0.375*8} =225e^3 = 4519.2[/tex]

          *we will round down the number of rabbits since it is impossible to

           have 0.2 of a rabbit

       There will be 4519 rabbits in 8 years.

         ⇒ we substitute 15000 into 'R(t)' of the function and solve for 't'

                [tex]R(t) = 225e^{0.375t}\\15000=225*e^{0.375t}\\\frac{15000}{225} =e^{0.375t}\\ln(\frac{15000}{225})=0.375t\\ t = 11.2[/tex]

            *in this case, you want it to the nearest year, round it up since we

             asked for how many years, and if we were to say 11, the

            the population of rabbits wouldn't have reached that number yet,

           so we will round up to ensure that number has been reached by

           that year.

       It will take at least 12 years for the rabbit population to reach 15000

Hope that helps!

Answer:

25%

Step-by-step explanation:

Simple interest= PRT/100

392,000=112,000*R*14/100

392,000=1120*14*R

392,000=15,680R

R= 392,000/15,680

R= 25%

Answer: side

Step-by-step explanation:

Answer:

60 degree is the value of m

Answer:

1/8 of a pound

Step-by-step explanation:

Gina's bag of gumdrops : 1/4 of a pound

Gina's + sister's bag of gumdrops : 3/8 of a pound

To find how much her sister's gumdrops weighed, you will have to subtract fractions.

Equation : 3/8 - 1/4 or 3/8 - 2/8

To subtract, you need to make sure the denominators are the same.

1 × 2

-------  =  2/8

4 × 2

Now, you can subtract. Subtract the numerators.

3/8 - 2/8 = 1/8

So, Gina's sister's red gumdrops weigh 1/8 of a pound.

Hope this helped !

Gina's sister's red gumdrops weigh 1/8 of a pound.

Let's use an equation to find the weight of Gina's sister's red gumdrops.

Let x be the weight of Gina's sister's red gumdrops in pounds.

According to the information given:

Gina's bag of black gumdrops weighs 1/4 pound.

Gina pays for both her gumdrops and her sister's red gumdrops, totaling 3/8 pound of gumdrops.

Weight of Gina's gumdrops (black gumdrops) + Weight of sister's gumdrops (red gumdrops) = Total weight of gumdrops purchased

1/4 + x = 3/8

Solve for x

x = 3/8 - 1/4

To subtract fractions, we need a common denominator, which is 8:

x = (3/8) - (2/8)

x = 1/8

Therefore, Gina's sister's red gumdrops weigh 1/8 of a pound.

Learn more about  subtraction of fractions

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Answer:

Cost Price = Marked Price -Discount - Profit

CP = 4000-400-400

Cost price = 3200

Rs. 3200

The answer iis in the above picture hope you like it. Pls mark brainliest

Answer:

A = 0.72l B = 1.8l C = 1.8l

Step-by-step explanation:

A:B:C = 4:10:10

It means that B and C are equal

It is told that C contains 1.8 liters

B have to contain 1.8 liters too

1.8l*4/10 = 0.72l

You can also write it like this (this version is easier for me):

1.8l:10 = 0.18l

4*0.18l = 0.72l

Hope that I helped :)

Answer:

see explanation

Step-by-step explanation:

(a)

5% of N 80000

= [tex]\frac{5}{100}[/tex] × 80000

= 0.05 × 80000

= N4000 ← VAT

(b)

total cost = 80000 + 4000 = N84000

Answer:

When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

Answer:

8.75

Step-by-step explanation:

I divided 8 by .914 and got and estimate of 8.75

Answer:

1265 i think

Step-by-step explanation:

add 11 15 times

Answer:165

Step-by-step explanation:

Answer:

1 5/8 is 1/8 greater than 1 1/2

Step-by-step explanation:

if we take off the one from both expressions, we're left with

5/8 and 1/2.

To better compare the fractions, we can make them have equal denominators. To do this, multiply both the numerator and denominator of 1/2 by 4: (1*4)/(2*4) = 4/8.

5/8 is larger than 4/8 by 1/8, therefore, 1 5/8 is larger than 1 1/2 by 1/8.

Step-by-step explanation:

1 5/8 is greater than 1 1/2 because if you draw 1 5/8 and on the bottom 1 1/2 you will see that 1 5/8 is greater.

Answer:

3320

Step-by-step explanation:

So, 9 months is 9/12 of a year which is 3/4.

Each month they get 5/12% of their total money, so 9x5/12=3.75%.

3320