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3 years ago

According to the equation, which choice represents the fixed cost of

Mathematics

1 answer:

kodGreya [7K]3 years ago

7 0

Answer:

A) 3500

Step-by-step explanation:

C(x) = 0.75x + 3500

C(x) = Total cost

0.75x = variable cost

3,500 = fixed cost

The fixed cost of the function = 3,500

Variable cost refers to cost of production that changes during production such as cost of raw material, wages of workers etc.

Fixed cost are cost of production that remains the same (does not change) with the production process such as building, machineries etc

Total cost is the addition of all cost of production, that is, the addition of fixed cost and variable cost

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The center of a circle represented by the equation (x+9)^2 + (y-6)^2 =10^2 is what

inysia [295]

Answer:

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 9)² + (y - 6)² = 10² is in this form

with centre = (- 9, 6) → A

3 0

3 years ago

A multi level parking lot has 6 levels and there are total of 1,327 parking spots.

MrRissso [65]

Answer: (1) There are 233 parking spots on the top level

(2) There are 72 parking spots reserved for drivers with disabilities

(3) There are 970 spots for hourly parking

(4) He would spend $7200 for parking in a year

Step-by-step explanation: In the first instance, there is a total of 1327 parking spots altogether allocated into various categories.

(1) There are 6 levels in all, and the first level has 162 parking spots. herefore the remaining 5 levels would have 1165 parking spots left as shown below;

Remainder = 1327 - 162

Remainder = 1165

If however the remaining 1165 parking spots are distributed equally among the other 5 levels, then each level would have 233 parking spots each as shown below;

Five levels = 1165

Each level = 1165/5

Each level = 233

Therefore the top level has 233 parking spots

(2) On each level (out of all 6 levels), there are 12 spots reserved for drivers with disability. Therefore at all parking levels you would have 72 spots as shown;

Reserved spot per level = 12

Reserved spot for 6 levels = 12 * 6

Reserved spot for 6 levels = 72

Therefore there are 72 spots reserved for driver with disability

(3) Other than the spots reserved for drivers with disability (72), there are 285 parking spots for monthly rental. The rest are for hourly parking, and this is calculated as shown;

Hourly parking + monthly rental + reserved parking = 1327

Hourly parking + 285 + 72 = 1327

Hourly parking + 357 = 1327

Hourly parking = 1327 - 357

Hourly parking = 970

Therefore there are 970 spots available for hourly parking.

(4) If the daily parking rate is $30, and Jack parks his car for 5 days in a week, then he would spend

30 * 5 = 150

If he parks for 4 weeks in a month, then he would spend

150 * 4 = 600

Therefore to pay for parking in a year (12 months) he would spend

600 * 12 = 7200

Therefore he would spend $7,200 for parking in a year

4 0

3 years ago

The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu

Kazeer [188]

Answer:

$\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})$

Step-by-step explanation:

The logistic differential equation is as follows:

$\frac{dP}{dt} = rP(1 - \frac{P}{K})$

In this problem, we have that:

$K = 1200$ , which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.

This means that $\frac{dP}{dt} = 400$ when $P = 200$ . With this, we can find r, that is, the growth rate,

$\frac{dP}{dt} = rP(1 - \frac{P}{K})$

$400 = 200r(1 - \frac{200}{1200})$

$166.67r = 400$

$r = 2.4$

So the differential equation is:

$\frac{dP}{dt} = rP(1 - \frac{P}{K})$

$\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})$

3 0

3 years ago

Can someone help me in this plssss I really need it

kompoz [17]

Answer:

$\boxed{-3xy^{2}\sqrt [3] {2x^{2}}}$

Step-by-step explanation:

Your expression is

$\sqrt [3] {-54x^{5}y^{6}}$

Here's how I would simplify it.

$\begin{array}{rcll}\sqrt [3] {-54x^{5}y^{6}} & = & \sqrt [3] {(-1)^{3}\times 2 \times 27 \times x^{2} \times x^{3} \times y^{6}} & \text{Factored the cubes}\\& = & \sqrt [3] {(-1)^{3} \times 3^{3}\times x^{3} \times y^{6}\times 2 \times x^{2}} & \text{Grouped the cubes}\\\end{array}$

$\begin{array}{rcll}& = & \sqrt [3] {(-1)^{3} \times {3^{3}\times x^{3} \times y^{6}}} \times\sqrt [3] { 2 \times x^{2}} & \text{Separated the cubes}\\&=& \mathbf{-3xy^{2}\sqrt [3] {2x^{2}}} & \text{Took cube roots}\\\end{array}$

$\text{The simplified expression is $\boxed{\mathbf{-3xy^{2}\sqrt [3] {2x^{2}}}}$}$

6 0

4 years ago

You have been assigned 40 homework assignments this marking period. You have completed 18 of them. What percent of homework assi

djyliett [7]

Answer:

45%

Step-by-step explanation:

Simply divide your partial amount (18 in this case) by your total (40), and you then multiply your answer from 18/40= .45 by 100, and you get 45. This is 45%

4 0

3 years ago

Read 2 more answers