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Answer:

The profit decreases by $ 375 for every $ 1 increase in the selling price.

Step-by-step explanation:

From the definition of the secant line we get that the average rate of change of [tex]P(x) = -0.015\cdot x^{2}+1.2\cdot x -11.5[/tex], where [tex]x[/tex] is the selling price of the product, measured in dollars per unit, is:

[tex]r = \frac{P(55)-P(50)}{55-50}[/tex] (1)

Now we evaluate the function at each bound:

x = 50

[tex]P(50) = -0.015\cdot (50)^{2}+1.2\cdot (50)-11.5[/tex]

[tex]P(50) = 11[/tex]

x = 55

[tex]P(55) = -0.015\cdot (55)^{2}+1.2\cdot (55)-11.5[/tex]

[tex]P(55) = 9.125[/tex]

Then, the average rate of change is:

[tex]r = \frac{9.125-11}{55-50}[/tex]

[tex]r = -0.375[/tex]

Hence, the profit decreases by $ 375 for every $ 1 increase in the selling price.

The statements that best interprets the average rate of change from x = 50 to x = 55 is (b) The profit decreases by $375 for every $1 increase in the selling price.

The profit function is given as:

[tex]P(x) = -0.015x^2 + 1.2x - 11.5[/tex]

Calculate P(x), when x = 50.

So, we have:

[tex]P(50) = -0.015(50)^2 + 1.2(50) - 11.5[/tex]

[tex]P(50) = 11[/tex]

Calculate P(x), when x = 55.

So, we have:

[tex]P(55) = -0.015(55)^2 + 1.2(55) - 11.5[/tex]

[tex]P(55) = 9.125[/tex]

The average rate of change from x = 50, to 55 is then calculated using:

[tex]m = \frac{P(55) - P(50)}{55-50}[/tex]

So, we have:

[tex]m = \frac{9.125 - 11}{55-50}[/tex]

[tex]m = \frac{-1.875}{5}[/tex]

Divide

[tex]m = -0.375[/tex]

The function is in 1000 units.

So, we have:

[tex]m = -0.375\times 1000[/tex]

[tex]m = -375[/tex]

-375 implies a decrease of $375 for every $1 increase in sales

Hence, the correct statement is (b)

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Answer:

y=  3x + 8

Step-by-step explanation:

y = mx + b

m = 3 inches of water added each day

x = 8 inches of water at start

y=  3x + 8 is the required equation.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher.

We have,

m = 3 inches of water added each day

x = 8 inches of water at start

Converting in y = mx + b, we get,

y = 3x+8

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Answer:

i think the answer is -7/s

Step-by-step explanation:

Let's solve for n.

(−1s)(n)+12<19

Step 1: Add -12 to both sides.

−ns+12+−12<19+−12

−ns<7

Step 2: Divide both sides by -s.

−ns

−s

<

7

−s

n>

−7

s

Answer:

n>

−7

s

Answer: False

Step-by-step explanation:

Answer:

It is false hope this will be

Answer: D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

uhh what kinda symbols r those

Step-by-step explanation:

Answer:

4800

Step-by-step explanation:

3000\5=600

600*8=4800

Answer:

47. 08 meters

Step-by-step explanation:

Given that:

In 48 years between 1842 :

Rate of erosion = 33/50 meters per year

Between 1905 - 1927 (22 years)

Rate of erosion = 7/10 meters per year

Approximately how much total erosion occurred during these two time periods ;

Total erosion that occured within 1842:

Rate of erosion * number of years

(33/50)m * 48

0.66 meters * 48

= 31.68 meters

Total erosion that occured between 1905 - 1927:

Rate of erosion * number of years

(7/10)m * 22

0.7 meters * 22

= 15.40 meters

total erosion which occurred during these two time periods ;

31.68 meters + 15.40 meters

= 47.08 meters

Answer:

47. 08 meters

Step-by-step explanation:

Given that:

In 48 years between 1842 :

Rate of erosion = 33/50 meters per year

Between 1905 - 1927 (22 years)

Rate of erosion = 7/10 meters per year

Approximately how much total erosion occurred during these two time periods ;

Total erosion that occured within 1842:

Rate of erosion * number of years

(33/50)m * 48

0.66 meters * 48

= 31.68 meters

Total erosion that occured between 1905 - 1927:

Rate of erosion * number of years

(7/10)m * 22

0.7 meters * 22

= 15.40 meters

total erosion which occurred during these two time periods ;

31.68 meters + 15.40 meters

= 47.08 metersStep-by-step explanation:

Answer:

Step-by-step explanation:

Area of the rectangular area = Length * width

A = LW ...... 1

If he wants to have a rectangular area  of turf with length one foot less than 3 times the width, then

L = 3W - 1 ...... 2

Substitute 2 into 1

A = (2W-1)W

A = 2W^2 - W

Since area = 150sq.ft

150 = 2W^2 - W

2W^2 - W - 150 = 0

Factorize

2W^2 - W - 150 = 0

W = 1±√1+4(300)/2(2)

W =  1±√1201/2(2)

W = 1±34.655/4

W = 35.655/4

W = 8.91375

W = 8.9 (to nearest tenth)

Get the length

L = A/W

L = 150/8.9

L = 16.85

L = 16.6ft

Hence the length is 16.6ft and the width is 8.9ft

Answer:

1/26

Step-by-step explanation:

Answer:

In the picture above it shows how to answer the questions step by step. If there's a mistake, pls inform me.

Answer:

put your fingers out in the shape of L's. Which ever finger has the L facing the proper way, is left, and the other is right.

Step-by-step explanation:

Answer:

[tex]slope \: = \frac{y2 - y1}{x2 - x1 } \\ slope = \frac{15 - 6}{2 - 5} \\ slope = \frac{9}{3} [/tex]

Answer:

nobody won't be able to answer this without some more details.

Answer:

that's nice

Step-by-step explanation:

if u actually need help ask this question again or put the whole question in the comments section

ur welcome

Answer:

39.9°

Step-by-step explanation:

m∠C = β

sin β = [tex]\frac{52}{81}[/tex] ⇒ β = arcsin [tex]\frac{52}{81}[/tex] ≈ 39.9°

Answer:

39.9

Step-by-step explanation:

sinC=  

sin C = \{52}{81}

sinC=  

81

52

​  

C=\sin^{-1}{52}{81})

C=sin  −1 (  81 /52 )

C=39.9393\ 39.9^

C=39.9393≈39.9∘

Answer:

Found this on google, "Accounting creates values by maintaining transparency of accounts. Since man lives in the society, he has got a social life. For leading a social life he has to perform financial and material transactions daily. For carrying out these transactions successfully the existence of a sound environment is necessary."

Answer: Accounting is the process of recording financial transactions pertaining to a business.

Step-by-step explanation: The purpose of accounting is to accumulate and report on financial information about the performance, financial position, and cash flows of a business. This information is then used to reach decisions about how to manage the business, or invest in it, or lend money to it.

Answer:the answer is A

Step-by-step explanation:

Answer:

22 cm

Step-by-step explanation:

Start off by multiplying the number of pages by the thickness.

200*0.008=1.6

Add the thickness of the front and back cover.

1.6+0.6=2.2

Multiply by 10.

2.2*10=22 cm

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The height of the 10 stacks of books is 22cm.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that the front and back covers of a textbook are each 0.3 cm thick. Also, there are 200 sheets of paper between the cover and the thickness of each sheet is 200 sheets. Therefore, the thickness of the book is,

The thickness of a single book

= (Number of covers × Thickness of cover) + (Number of sheets × Thickness of sheets)

= (2 × 0.3cm) + (200 × 0.008cm)

= 2.2 cm

Now, the thickness of 10 books will be,

The thickness of 10 books = 10 × the Thickness of a single book

                                            = 10 × 2.2 cm

                                            = 22 cm

Hence, the height of the 10 stacks of books is 22cm.

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Answer:

The distance between the two is 465 meters

Step-by-step explanation:

We first need to set up a triangle that shows the relative position and distances of the two friends

Please check attachment for this

To get this distance, which represents the hypotenuse of the triangle, we make use of Pythagoras’ theorem

Mathematically;

Pythagoras’ theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

Thus;

D^2 = 256^2 + 388^2

D^2 = 216,080

D = √216,080

D = 464.84 which is approximately 465 m

Answer:

i=

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

2x6 and then you divide by 1/2 it's just simple math

Answer:

6

Step-by-step explanation:

the formula is base times height times 1/2. The base is 6 the height is 2. Thats 12. Then divide it by (or multiply by 1/2) to get 6:)

Answer: B. a = 144 degrees

Step-by-step explanation:

180=36+a

144=a

Step-by-step explanation:

hope it's obvious both the reason is being cointerior angle

plz follow me

Answer:

I believe the answer is -28

Step-by-step explanation

I gotchu bro

The answer is -28 because Liana starts at 25 below sea level (which is the same thing as -25) If she rises 9 feet, then you know to add because she is going up so your just gonna add. Next she descends 12 feet, so she went down, so subtract. So i know the answer is going to be -28 because -25+9 is -16, then imma subtract -16 and 12 so, -16 - 12= -28. There ye go

Answer:

X=16

Step-by-step explanation:

4/64

x=16