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The drama club is printing t-shirts for its 21 members. The printing company charges a certain amount for each shirt plus a setup fee of $40.

Write an equation to represent the total cost for printing the shirts.

Question 1 options:

C = 21 + 40t


C = 21t - 40


C = 21t + 40


C = 21t

Answer:

It's a parabola with a minimum.

C(x)= 500,000 + 80x + 0.003x^2

C'(x) = 80 + 0.006x = 0

x = 80/0/006 = 13,333 units

Step-by-step explanation:

A company that produces chemicals used in manufacturing sells a certain product for $200 per unit. The total production cost for the product is

C(x)= 500,000 + 80x + 0.003x^2

The company can produce no more than 30,000 units during a given time period. How

many units of the chemical product should be manufactured and sold to maximize profit?

Answer:

  61°

Step-by-step explanation:

We have to take the arcs at P to mean angles RPW and MPW are congruent. That means each is 58°/2 = 29°. Angle PMR is the other acute angle in right triangle PMW, so it will be the complement of 29°.

  ∠PMR = 90° -29° = 61°

Answer:2/3

Step-by-step explanation:

10-4=6

12-8=4

4/6=2/3

Answer:

270°

Step-by-step explanation:

∠ PQR = 90° ( angle in a semicircle )

PRST is a cyclic quadrilateral

The opposite angles in a cyclic quadrilateral are supplementary, sum to 180°

Then

∠ PRS + ∠ PTS = 180°

∠ PQR + ∠ PRS + ∠ PTS = 90° + 180° = 270°

home within our geographic footprint.

Goals: Increase awareness of key homes for sale in our portfolio and generate traffic to the website for more information.

Step-by-step explanation:

the total is 8+5+7=20

the probabliliy that its gonna be 7/20

this fraction cannot be reduced

Answer:

40 miles, 2000seconds or 33minutes and 20 seconds

Step-by-step explanation:

a. multiple time by miles/hour -> 40*60/60=40 so 40 miles

b. 60+12=72 so her new speed is 72mph. next, to find the time we need to divide distance by 1/mph -> 40* 1/(72/60)=40*60/72=100/3 which is 2000seconds or33minutes and 20 seconds

Answer:

$26.40

Step-by-step explanation:

Answer:

$26.40

Step-by-step explanation:

1 paper flower=$0.55

Therefore,48 paper flowers=?

cross multiplying,we have 0.55×48=$26.40

The growth amount is given by the growth rate the duration of the growth

and how the rate is applied to each period.

The correct selections are;

Reasons:

First part;

The given formula for the annual growth rate is; [tex]A(t) = \mathbf{P \cdot \left(1 + r)^t}[/tex]

[tex]\displaystyle A(t) = \mathbf{P \cdot \left (1 + \frac{r}{[a]} \right)^{n \cdot t}}[/tex]

Where;

P = The principal

r = The rate per period

n = The number of compounding per period

t = The number of periods

In the above formula, we have that the number of compounding per periods = n

Therefore;

Which gives the fraction of the interest applied to each period as [tex]\displaystyle \frac{r}{n}[/tex]

Which gives;

[tex]\displaystyle A(t) = \mathbf{P \cdot \left (1 + \frac{r}{n} \right)^{n \cdot t}}[/tex]

Second part;

When [tex]x = \displaystyle \frac{n}{r}[/tex], we have; [tex]A(t) = \mathbf{P \cdot \left(1 + [b])^{n \cdot t}}[/tex]

[tex]\displaystyle A(t) = P \cdot \left (1 + \frac{r}{n} \right)^{n \cdot t}[/tex]

Therefore;

[tex]\displaystyle b=\frac{r}{n}[/tex]

[tex]\displaystyle \frac{1}{x} = \frac{1}{\left(\frac{n}{r} \right)} =\frac{r}{n}[/tex]

Which gives;

[tex]\displaystyle b=\frac{r}{n} = \mathbf{\frac{1}{x}}[/tex]

[tex]\displaystyle \underline{ b = \frac{1}{x} }[/tex]

Third part;

Where, n = x·r, and [tex]\displaystyle A(t) = \mathbf{P \cdot \left (1 + \frac{1}{x} \right)^{[c] \cdot t}}[/tex]

We have;

[tex]\displaystyle x= \frac{n}{r}[/tex]

[tex]\displaystyle \frac{1}{x}=\frac{r}{n}[/tex]

[tex]\displaystyle A(t) = P \cdot \left (1 + \frac{1}{x} \right)^{[c] \cdot t} = \mathbf{P \cdot \left (1 + \frac{r}{n} \right)^{[c] \cdot t}}[/tex]

Which gives;

c = n = x·r

Fourth part;

If x is a really large number, we have; [tex]\displaystyle \mathbf{\left(1 + \frac{1}{x} \right)^x}[/tex]

Where x approaches ∞, we have;

[tex]\displaystyle \frac{1}{\infty}=0[/tex]

Which gives;

[tex]\displaystyle \displaystyle \left(1 + \frac{1}{x} \right)^x= \left(1 + \frac{1}{\infty} \right)^\infty = \displaystyle \left(1 + 0\right)^\infty = 1 ^\infty = 1[/tex]

Learn more about growth rate formula here:

https://brainly.com/question/2284816

Answer is (5,7)

Step-by-step explanation:

In the given image, move two points from P to right and move two points left from Q, in such a way that the gap between the two squares of P and Q are equal.

Then from the middle point of the line, mark down to the X-axis where you will get 5. Likewise, from the middle point, mark left to the Y-axis.

Any doubts, please refer the attached image.

So, you will get the answer as (5,7) .

Answer:yes

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

[tex]\frac{(2-6)}{(1-3)}[/tex]=[tex]\frac{-4}{-2}[/tex]=2

Answer:

$875.00

Step-by-step explanation:

You multiply 1250 by .3 to get 375. Then you subtract that from your total to get your sale price. Hope this helps :))

Answer:

Step-by-step explanation:

I am assuming the tank starts empty. It means that in 1 hour the tank has half that water, or 3600 gallons. And the good thing of lines passing through 0.0 is that the value at 1 IS the slope we need. ie 3600.

At this point it's easy to find that if in 2 hours it filled 1/10th of the tank, in 20 hours the tank will be full.

Graph done with paint, obviously not to scale.

The kind of text structure that was utilized by William Kamkwamba in the story, "The Boy Who Harnessed the Wind" is the Sequential text structure.

William Kwakwamba began with the day the windmill first generated electricity because it was remarkable and is, therefore, the first detail to note in the story.

To understand why this is the right text structure, we need to first understand what text structure is and the characteristics of a sequential structure.

Text structure refers to the organization of writing to convey intended meanings.

The sequential text structure follows these processes:

Thus given these explanations of what the sequential text structure is, we can classify the excerpt from William Kamkwamba's "The Boy Who Harnessed the Wind" as sequential.

Learn more about text structure here:

https://brainly.com/question/12053427

Answer:

5$

Step-by-step explanation:

5 divided by 175 is 35

5x35 is 175

Answer:

Kim and Zara are correct.

Step-by-step explanation:

Correct simplification:

-3(x+4) - 2(5x-6)

-3x + (-12) - 10x + 12

-3x - 12 - 10x + 12

- 13x

Answer:

what one?

Step-by-step explanation:

Answer:

Each student get 3/4 cups.

Step-by-step explanation:

15÷20=0.75

turn into fraction

3/4

I answer this question before

Answer:

52

Step-by-step explanation:

6+7=13

6:7=13

x:28

28/7=4

so you have to multiply by 4

4x6=24

24 boys and 28 girls

24+28=52

Answer:

52

Step-by-step explanation:

Lets put the ratio like this: 6x (boys) : 7x (girls)

because we know that the amount of girls is 28 we can set them equal as so:

7x = 28

÷ divide both sides by 7

x = 4

now add 6x + 7x to get the total people = 13x and because x equals 4, we can multiply 13 by 4. Which is 52

HOPE THIS HELPS :)

Answer:

Step-by-step explanation:

To multiply a decimal by 100, move the decimal point in the multiplicant by two places to the right. Here we multiplied the number 98.26 by 100 so we move 2 places to the right. 3. To multiply a decimal by 1000, move the decimal point in the multiplicant by three places to the right

Answer:

616

Step-by-step explanation: hope it helps :)

Answer:665,830 my answer

Step-by-step explanation:

so. what have you got so far?

How can a digit have no value?

Answer:

Step-by-step explanation:

To SUBTRACT fractions with like or the same denominator, just subtract the numerators then copy the common denominator. Always reduce your final answer to its lowest term.

Answer:

  see the attachments for the graphs

  1. y = 1/4x +4 1/4

  2. y = -5/9x +7/9

Step-by-step explanation:

The relevant formulas are ...

  m = (y2 -y1)/(x2 -x1) . . . . . slope of line through points (x1, y1), (x2, y2)

  b = y -mx . . . . . . . . . . . . . y-intercept of a line with slope m through point (x, y)

  y = mx + b . . . . . . slope-intercept equation of the line

__

Points (3, 5), (-1, 4)

  m = (4 -5)/(-1 -3) = -1/-4 = 1/4

  b = 4 -(1/4)(-1) = 4 1/4

Equation of the line: y = 1/4x + 4 1/4

__

Points (-4, 3), (5, -2)

  m = (-2-3)/(5 -(-4)) = -5/9

  b = 3 -(-5/9)(-4) = 3 -20/9 = 7/9

Equation of the line: y = -5/9x +7/9

Answer:

Step-by-step explanation:

Use two given points (-6, -3) and (6, -7) to find equation of the line.

The slope:

The y - intercept is also visible on the graph (0, -5):

The line is:

Answer:

[tex] \huge{ \boxed{y = - \frac{1}{3} x + 1}}[/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the graph to find the equation of the line we must first find the slope

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

Using the points (-6 , -3) and (6,-7) we have

[tex]m = \frac{ - 7 - - 3}{6 - - 6} = - \frac{4}{12} = - \frac{1}{3} \\ [/tex]

Next we use the slope that has been found and one of the points to find the equation of the line

To find an equation of a line when given the slope and a point we use the formula

y - y1 = m(x - x1)

where

m is the slope

( x1 , y1) is the point

From the question using slope -1/3 and point (-6,3) we have

[tex]y - 3 = - \frac{1}{3} (x - - 6) \\ y - 3 = - \frac{1}{3} (x + 6) \\ y - 3 = - \frac{1}{3} x - 2 \: \: \: \\ y = - \frac{1}{3} x - 2 + 3 \: \: [/tex]

The equation of the line in slope-intercept form is

[tex]y = - \frac{1}{3} x + 1 \\ [/tex]

Hope this helps you

3 exponent 2 × 5 exponent 1 × 7 exponent 1

Answer:

18.06

Step-by-step explanation:

7+6=13

34+38=72

13 IS 18.06 PERCENT OUT OF 72.

Answer:

Percentanges are factors so

41 Women + 44 Men = 85 shoppers

7 Women + 6 Men = 13 Online shoppers

13 out of 85 13/85 = 15% of total people surveyed shop online

Step-by-step explanation:

Hope this helps! BH

Answer:

54.28 cm²

Step-by-step explanation:

Area rectangle = 10 x 4 = 40 cm²

Area semicircle = 1/2(π(2²)) = 1/2(π(4)) = 2π ≈ 6.28 cm²

Area triangle = 1/2(4 x (10-14)) = 1/2( 4 x 4) = 2 x 4 = 8 cm²

Total Area = 40 cm² + 6.28 cm² + 8 cm² = 54.28 cm²

-Chetan K

Answer:

1 is 13

2 is 13

3 is -7

4 is 7

Step-by-step explanation:

Step-by-step explanation:

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

the trick in such a situation is to find good points on the chart that are crossed by the line. and by "good" I mean points with round integer coordinates.

I see 2 such points :

(-2, 3) and (0, -3)

x changes by +2 (from -2 to 0)

y changes by -6 (from 3 to -3)

the slope is -6/+2 = -6/2 = -3