Help please find surface area

Answer:

Part A

The polynomial expression for the profit from selling and making 'y' cars is 0.003·y² - 10·y - 1,000,000

Part B

The profit made from selling 30,000 cars is 1,670,000

Step-by-step explanation:

Part A

Taking the revenue, 'R', made by the car company for the sale of 'y' cars as R = 0.003·y² + 10·y

The cost to produce 'y' cars, C = 20·y + 1,000,00

The profit, 'P', from making and selling 'y' cars is given as follows;

P = R - C

∴ 0.003·y² + 10·y - (20·y + 1,000,00) = 0.003·y² - 10·y - 1,000,00

An expression of the polynomial for the profit 'P', from selling and making 'y' cars is therefore presented as follows;

0.003·y² - 10·y - 1,000,000

Part B

The profit made from selling 30,000 cars, (y = 30,000) is given as follows;

= 0.003·y² - 10·y - 1,000,000

[tex]P_{y = 30,000}[/tex] = 0.003 × 30,000,000² - 10×3,000 - 1,000,000 = 1,670,000

The profit made from selling 30,000 cars = 1,670,000.

Question:

In New York City at the spring equinox there are 12 hours 8 minutes of daylight. The  longest and the shortest days of the year vary by 2 hours 53 minutes from the equinox.  In this year, the equinox falls on March 21. In this task, you'll use a trigonometric function  to model the hours of daylight hours on certain days of the year in New York City.

- Find amplitude and the period of the function

- Create a trigonometric function that describes the hours of sunlight for each day of the year

- Then use the function you built to find how fewer daylight hours February 10 will have then March 21

Answer:

(a)

[tex]A = 2.883[/tex]  --- Amplitude

[tex]T = 365[/tex] ---- Period

(b) Trigonometry function

[tex]f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])[/tex]

(c) [tex]Hours= 1.794[/tex]

Step-by-step explanation:

Given

[tex]Average\ Sunlight = 12hr\ 8 min[/tex]

[tex]Variance = 2hr\ 53min[/tex]

Solving (a): Amplitude (P) and Period (T)

The amplitude is the amount of time the longest and the shortest day vary.

So

[tex]A = 2\ hr\ 53\ min[/tex]

Convert to hours

[tex]A = 2\ + \frac{53}{60}[/tex]

[tex]A = 2+0.883[/tex]

[tex]A = 2.883[/tex]

The period (T) is the duration i.e 1 year

[tex]T = 1\ year[/tex]

Assume no leap year

[tex]T = 365[/tex]

Solving (b): Trigonometry function

The function follows a sinusoidal pattern and the general form is:

[tex]f(x) = \mu+ Asin(\frac{2\pi}{T}(x -n))[/tex]

Where

[tex]\mu = Average\ Value[/tex]

[tex]\mu = 12\ hr 8\ min[/tex]

Convert to hours

[tex]\mu = 12 + \frac{8}{60}[/tex]

[tex]\mu = 12 + 0.133[/tex]

[tex]\mu = 12.133[/tex]

[tex]A = 2.883[/tex]  --- Amplitude

[tex]T = 365[/tex] ---- Period

[tex]n = Equinox[/tex]

[tex]n = March\ 21[/tex]

[tex]March\ 21st = 80th\ day[/tex]

So:

[tex]n= 80[/tex]

The function becomes:

[tex]f(x) = \mu+ Asin(\frac{2\pi}{T}(x -n))[/tex]

[tex]f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])[/tex]

Solving (c): Fewer daylight hours will Feb. 10 have.

[tex]Feb\ 10 = 41st\ day[/tex]

So:

[tex]f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])[/tex]

[tex]f(41) = 12.133 + 2.883sin(\frac{2\pi}{365}[41 - 80])[/tex]

[tex]f(41) = 12.133 + 2.883sin(\frac{2\pi}{365}[-39])[/tex]

[tex]2\pi = 360^\circ[/tex]

So:

[tex]f(41) = 12.133 + 2.883sin(\frac{360}{365}[-39])[/tex]

[tex]f(41) = 12.133 + 2.883sin(-38.466)[/tex]

[tex]f(41) = 12.133 - 2.883*0.6221[/tex]

[tex]f(41) = 10.339[/tex]

The fewer daylight hours is the calculated as:

[tex]Hours= Average - f(41)[/tex]

[tex]Hours= \mu - f(41)[/tex]

[tex]Hours= 12.133 - 10.339[/tex]

[tex]Hours= 1.794[/tex]

Answer:

X 90 z 90 y 90

Step-by-step explanation:

Answer:

The area that is surrounded by the highway on the billboard is approximately 89.34 square meters

Step-by-step explanation:

The given parameters are;

The length of the circle shaped highway = 251.2 km

The scale of the map of the bus routes along the highway = 1:7,500

The circumference of a circle, C = 2·π·r = The length of the perimeter of the circle

Therefore, we have;

The circumference of the highway = The length of the circle shaped highway = 251.2 km

The circumference of the highway, C = 251.2 km = 2·π·r

The radius of the circular highway path, r = 251.2 km/(2·π) ≈ 39.994217 km

The area of a circle, A = π·r².

The area of the highway = π·r² = π × (39.994217 km)² ≈ 5,025.09492434 km.²

Given that the scale of the map = 1:7,500. we have;

The scale of the area = (1:7,500)² = (1:56,250,000)

The size of the drawing, 5,025.09492434 km.²/(56,250,000) = 0.00008933502 km² = 89.33502 m.²

Therefore, the area that is surrounded by the highway on the billboard, rounded to the nearest hundredth of a square meter ≈ 89.34 m.²

Answer:

38

Step-by-step explanation:

6 times 5 =30

d=8

30+8-38

Answer:

-1/2

Step-by-step explanation:

Answer:

y = -1/2x + 1

Step-by-step explanation:

(0,1) and (2,0)

Slope:

m=(y2-y1)/(x2-x1)

m=(0-1)/(2-0)

m=(-1)/2

m= -1/2

Slope-intercept:

y - y1 = m(x - x1)

y - 1 = -1/2(x - 0)

y - 1 = -1/2x

y = -1/2x + 1

Answer:

B

Step-by-step explanation:

Area of rectangle=length(l)×width(w)

In this case,length= w+4

so Area=(w+4)×w

Therefore Area=w^2+4w

Answer:

Step-by-step explanation:

area of a cylinder = (area of a circle) times the (height)

area of a cylinder = π radius² × height

            radius = 57 cm        height = 40 cm

area of a cylinder  =   π 57² cm² × 40 cm

                              =   π (57² × 40) cm³

                              =   π ( 57 × 57 × 40) cm³             57x57 = 399 + 2850 = 3249  

                              =   π (3249 × 40) cm³

                              =    129969π cm³      π = 3.14

                              =    129969 × 3.14  cm³

                              =    408,074.4 cm³       < -----------------   Final Answer

Price before decrease = x

If price before decrease is 100, then price after decrease = 100- 12 = 88

100:88 = x:600

100/88=x/600

100/88 ×600 = x

681.82 =x

Price before decrease =681.82

Answer:

3120

Step-by-step explanation:

52x60=3120

Answer:68

Step-by-step explanation:

Do 52 plus 60 then subtract it by 180 and you get 68

Answer:

$3828 approx

Step-by-step explanation:

Given data

Principal=$2316

Rate= 3%

Time= 17 years

The compound interest formula is

A=P(1+r)^t

substitute

A=2316(1+0.03)^17

A=2316(1.03)^17

A=2316*1.652847

A=$3827.99

Hence the account balance after 17 years is $3828 approx

Step-by-step explanation:

10.....................

Answer:

n = 120

Step-by-step explanation:

Answer:

7 dollars and 50 cents of quarters. That right there equals 30 coins

He has a dollar and thirty cents in dimes and that equals 13 coins

Together that is $8.80. with 43 coins.

Step-by-step explanation:

Answer:

Option C is correct Parul is closest to 9 pi centimeters cubed!!!

Have a Great Day!!!!

Answer:

I would believe it would be the answer C parul

sorry if im wrong

Answer:

Step-by-step explanation:

43x28=1204

Answer:

1,204

Step-by-step explanation:

43(28) = 1,204

Answer: the image is blurry

Answer:

im doing this problem it kinda hard

Step-by-step explanation:

Answer:

16 students

Step-by-step explanation:

40 kids like only carrots and 40% of a hundred is 40%, so out of the 40 students that will be surveyed only 40% will like only carrots. 40% of 40 is 16

Answer:

umm???????????? let me try doin it

   123456789000009876543212345678908765435rtgbhnmkjhgvf bjlogvoufcggg      60

Answer:

D) b/a

From the given figure, O = (0, 0) and A = (a, b)

Slope of OA = (y2 - y1) / (x2 - x1)

Here x1 = 0, y1 = 0, x2 = a and y2 = b.

Slope of OA = (b - 0)/(a - 0)

Slope of OA = b/a

Answer: D) b/a

Answer:

B. y=-x+2

Step-by-step explanation: If you plot each equations on desmos graphing calculator you can look for those points and see if is on there.

Answer:

1. a) 7

b) 8

c)7

d) 6

2. a) -2 < 4

b) -3 > -5

c) -1°C

3. 39.95

Step-by-step explanation:

Answer:

Step-by-step explanation:

22/25

Answer:

c

Step-by-step explanation:

Answer:

B.62.8 inches

Step-by-step explanation:

just multiply the diameter by pi to get the circumference

20 x 3.14= 62.8

The converted units is 120 pounds = 54.5 kilogram

As a general rule, we have:

1 kilogram=2.2 pounds

Multiply both sides by 120

120 * 1 kilogram=2.2 pounds * 120

Divide both sides by 2.2

120/2.2 * 1 kilogram=2.2 pounds * 120/2.2

Evaluate the products

54.5 kilogram= 120 pounds

Rewrite as:

120 pounds = 54.5 kilogram

Hence, the converted units is 120 pounds = 54.5 kilogram

Read more about metric units at:

https://brainly.com/question/2555957

#SPJ1

Answer:

20%

Step-by-step explanation:

because 15/75×100 =1/5×100=20%

Answer:

Step-by-step explanation:

x% of 15y = 75

x% =75/(15y) = 5/y

x = 500/y

Answer:

The first thing we must do for this case is to define variables:

d = number of days

We then have the following inequality that represents the problem:

9d + 10 <= 146

Answer:

An inequality that represents the number of days, on which Natalie can take classes is:

9d + 10 <= 146

Step-by-step explanation:

Answer:

B. 146 ≥ 9c + 10

Answer:

y=-7x^2-14x-2

Step-by-step explanation:

Hope this helpz