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3 years ago

Over the next 5 years, a company projects its continuous flow of revenue to be

Mathematics

1 answer:

Zepler [3.9K]3 years ago

4 0

Answer:

The Break Even point is the point at which the cost=revenue

14,980+20x=30x

14,980=10x

1,498=x

a. 1,498 units must be sold to break even. At $20 per unit, the dollar amount will be $29,960

b. The profit function is P(x)=R(x)-C(x)

So P(x)=30x-(14,980+20x)

If you want to solve for this equation just enter the value of x we found for the break even point to get the answer.

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13. A smoothie shop has 40 stores, and 55% of the stores are in

S_A_V [24]

Answer:

You could answer this two ways.

Step-by-step explanation:

Method 1: Set up proportion

x/40=55/100

Cross-multiply and you will get..

2200=100x

x=22

Method 2: Use decimals

As we saw in the first method, 55 percent is equal to 55/100. 55/100 is equal to 0.55.

You can multiply 0.55 and 40 to get the answer as well.

0.55 times 40 is 22.

Hope this explanation helped! ☺️

6 0

3 years ago

Read 2 more answers

How do I use the cosine rule for these problems?

Elenna [48]

Answer:

see explanation

Step-by-step explanation:

Using the Cosine rule

a² = b² + c² - 2abcosA ← Rearranging for cosA gives

cosA = $\frac{b^2+c^2-a^2}{2ab}$

(a)

let a = 10, b = 7, c = 8 and A = α, then

cosα = $\frac{7^2+8^2-10^2}{2(7)(8)}$ = $\frac{49+64-100}{112}$ = $\frac{13}{112}$ , thus

α = $cos^{-1}$ ( $\frac{13}{112}$ ) ≈ 83° ( to the nearest degree )

(b)

let the angle opposite side 7 be x

Using the Sine rule

$\frac{10}{sin83}$ = $\frac{7}{sinx}$ ( cross- multiply )

10sinx = 7sin83 ( divide both sides by 10 )

sinx = $\frac{7sin83}{10}$ , thus

x = $sin^{-1}$ ( $\frac{7sin83}{10}$ ) = 44°

The third angle can be found using the sum of angles in a triangle

third angle = 180° - (83 + 44)° = 180° - 127° = 53°

The 3 angles are 83°, 44°, 53°

6 0

3 years ago

Ben was in charge of ordering 3636 pizzas for the office party. He ordered three types of pizza: cheese, pepperoni, and suprem

shutvik [7]

Answer:

Ben bought 11 cheese pizzas, 16 pepperoni pizzas and 9 supreme pizzas

Step-by-step explanation:

We can solve this problem with a equation system. I will abbreviate the amount of cheese pizzas he buyed as C, the amount of pepperoni ones as P, and the amount of supreme ones as S. I will also remove the $ notation

The system is given as follows

C+P+S = 36

8C + 11P + 14S = 390

11P = 2*(8C) = 16C

We can easily replace 11P with 16C in equation 2, obtaining

8C + 16C + 14S = 390

24C + 14S = 390

S = (390- 24C)/14 = 195/7 - 12/7 C

Note that, also from equation 3, we have that

11P = 16 C

P = 16/11 C

Now, we can obtain the value of C using equation 1 replacing S and P with the founded values

C+P+S = 36

C + 16/11 C + 195/7 - 12/7 C = 36

C + 16/11 C - 12/7 C = 36-195/7 = 57/7

Taking C as common factor we obtain

C (1+16/11-12/7) = 57/7

C * 57/77 = 57/7

C = (57/7) / (57/77) = 11

Now, we replace this value in the formula we obtain for P and S

P = 16/11 * C = 16/11 * 11 = 16

S = 195/7 - 12/7 * 11 = 63/7 = 9

Now, we verify:

C+P+S = 11+16+9 = 36
8C + 11P + 14S = 8*11 + 11*16 + 14*9 = 88 + 176 + 126 = 390
2(8C) = 2*88 = 176 = 11P

Thus, Ben bought 11 cheese pizzas, 16 pepperoni pizzas and 9 supreme pizzas.

8 0

3 years ago

F(x) = 1 - x, g(x) = 3/1 - x

castortr0y [4]

Answer:

Graph attached

Step-by-step explanation:

6 0

4 years ago

220 million drive cars in the US. If 44 million consider buying a hybrid, what percentage of US drivers are considering buying a

aev [14]

Answer: 1/5

Step-by-step explanation: First we start off with 44/220. Then we find the GCF which would be 44. Then we divide both sides by this number to get 1/5.

Hope this helped.

4 0

3 years ago