Use the equation r =2.1x^2 -14.3x +35, where x is the number of years after 2000, to determine the revenue from the sales of U.S. Recorded albums in the years 2000, 2001, 2002, 2003, 2005, 2010 and 2018. How would you describe the trend in the revenue from albums? To what do you attribute this?

Answers

Answer 1

Answer:

Step-by-step explanation:

Given that:

[tex]r = 2.1x^2 - 14.3x + 35[/tex]

For year 2000; x = 0

So; [tex]r (0) = 2.1(0)^2 - 14.3(0) + 35[/tex]

[tex]r (0) = 35[/tex]

For year 2001; x = 1

[tex]r (1) = 2.1(1)^2 - 14.3(1) + 35[/tex]

[tex]r (1) =22.8[/tex]

For year 2002; x = 2

[tex]r (2) = 2.1(2)^2 - 14.3(2) + 35[/tex]

[tex]r (2) = 14.8[/tex]

For year 2003; x = 3

[tex]r (3) = 2.1(3)^2 - 14.3(3) + 35[/tex]

[tex]r (3) = 11[/tex]

For year 2005; x = 5

[tex]r (5) = 2.1(5)^2 - 14.3(5) + 35[/tex]

r(5) = 16

For year 2010; x = 10

[tex]r (10) = 2.1(10)^2 - 14.3(10) + 35[/tex]

[tex]r(10) = 102[/tex]

For year 2018; x =18

[tex]r(18) = 2.1(18)^2 - 14.3 (18) + 35[/tex]

[tex]r(18) = 458[/tex]

Thus, the table can be presented as seen below.

Year      2000     2001     2002     2003     2005     2010     2018

x               0             1             2            3           5            10         18

r(x)          35          22.8        14.8        11            16         102      458

SO, we will notice that the revenue for the albums starts decreasing and when it reaches the minimum, it started increasing with increasing x.

The attribute behind this trend is because the revenue function r(x) typically implies that it is a quadratic function.


Related Questions

Solve the system of equations using eliminations
4x + 3y = -5
-2x + 2y = 6
I really need help with this questions someone please help

Answers

Answer:

x= -2 and y= -1

Step-by-step explanation:

1) 4x+3y= -5

2(-2x+2y=6)

(Multipy by 2 )

Becomes

2) 4x+3y= -5

-4x+4y=12

3) -5+12 =7

7y/7=7/7=

y=1

4x+3y=-5

4x+3(1)= -5(plug in Y for 1)

4x+3= -5

4x+3+-3= -5+ -3 (add neigitve 3 on both sides)

4x= -8

4x/4=-8/4( divide 4 on both sides)

x= -2

a

Answer

x=-2 ,Y=1

please help lads

i need blaze rods, how do i get them.
(without dying)

Answers

Answer:

Go to the nether

Step-by-step explanation:

Go to the nether and make sure you have a shield and a fire resistance potion  and make sure you have a bow to shoot them while they fly also make sure you have a good sword and armor cuz the nether is dangerous

A patient is on a low sodium low fat diet three months ago the patient weighed 220 1/8 pounds now the patient Weighs 195 5/8 pounds how many pounds did the patient lose?

Answers

Answer:

24.5 or 24 1/2

Step-by-step explanation:

The patient weighed lose is : 24.5 pounds.

We have the following information available from the question is:

The weighed of patient is on a low sodium fat diet three months ago is :

[tex]220\frac{1}{8}[/tex]

and, Now the weighed of the patient is : [tex]195\frac{5}{8}[/tex]

We have to find the how many pounds did the patient lose?

Now, According to the question:

The patient weighed lose is:

Three months ago weighed - Current weighed

[tex]220\frac{1}{8}-195\frac{5}{8}[/tex]

=>(1761 - 1565) /8

=> 196 /8

=> 24.5 pounds

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How much interest do you earn when you deposit $100 at 25% for 2 years?

Answers

Answer:

For simple interest: $50, for compound interest: $56.25

Step-by-step explanation:

For simple interest: 25% *100 = $25

$25*2 = $50

For compound interest:

Year 1) 100+100(.25) = 125

Year 2) 125+125(.25) = 125+31.25 = $156.25

156.25 - 100 = $56.25

Answer:

Year 1) 100+100(.25) = 125

Year 2) 125+125(.25) = 125+31.25 = $156.25

156.25 - 100 = $56.25

Step-by-step explanation:

Brad has 10 lb of oranges to make 12 bowls of fruit salad. His recipe requires 12 oz of oranges for each bowl. Does Brad have enough oranges? Please answer....

Answers

Answer: Yes, Brad has enough oranges.

Step-by-step explanation:

Given :

The orange required for one bowl = 12 oz

Thus orange required for 12 bowls = [tex]\frac{12}{1}\times 12=144oz[/tex]

Oranges available with Brad for 12 bowls = 10 lb = [tex]10\times 16=160oz[/tex]

(1lb=16oz)

As organges required is less than oranges available with Brad, thus Brad has enough oranges.

Pls hurry!!!!!!!

Factor 60x−12y
. Explain how you found your answer.

Answers

Answer:

12(5x-y)

Step-by-step explanation:hope this help

Graph the line that passes through the points (−5,1) and (5,−7) and determine the equation of the line.

Answers

Note: this answer assumes that it can be written in point-slope form.

Answer:

Equation: [tex]y - 1 = -\frac{4}{5} (x+5)[/tex]

Graph is attached below.

Step-by-step explanation:

1) First, find the slope of the two lines using the slope formula, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Use the x and y values of the two points given and solve:

[tex]\frac{(-7)-(1)}{(5)-(-5)}\\= \frac{-7-1}{5+5}\\= \frac{-8}{10}\\= \frac{-4}{5}[/tex]

Therefore, the slope is [tex]\frac{-4}{5}[/tex].

2) Next, use the point-slope formula [tex]y-y_1 = m(x-x_1)[/tex] to write the equation. The [tex]m[/tex] represents the slope of the line, so substitute [tex]\frac{-4}{5}[/tex] for

[tex]y - (1) = -\frac{4}{5}(x-(-5)\\y - 1 = -\frac{4}{5} (x+5)[/tex]

Therefore, [tex]y - 1 = -\frac{4}{5} (x+5)[/tex] is the equation of the line.

3) To graph the equation, you can just plot the points (-5,1) and (5,-7) and draw a line with arrows passing through them. After all, you only need two points to graph a line. The graph is attached below.

Equation of the line is 5y - 4x + 55 = 0 .

What is two point form?

The equation of a line can be written if two points are known from where it passes. The equation of a line which passes through (x1, y1) and (x2, y2) can be written as:    [tex]y - y1 = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]

Given,

Line passes through (−5,1) and (5,−7) .

Using two point form,

                                     [tex]y - 1 = \frac{(-7) - 1}{5 - (-5)} (x - (-5))[/tex]

                                  = 10y - 10 = -8x + 80

                                  = 5y - 4x + 55 = 0

Hence, equation of the line is 5y - 4x + 55 = 0 .

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solve using elimination 10x - 9y = -8 and 2x - 8y = -14 ​

Answers

Answer:

x = 1, y = 2

Step-by-step explanation:

Multiply 2x - 8y = -14 ​by 5 to get 10x - 40y = -70

Subtract (10x - 40y = -70) - (10x - 9y = -8)

Solve -31y = -62 for y

y = 2

Plug in y value to get x value

x = 1

There are red and blue marbles in a bowl. There are twice as many blue 20
marbles as red marbles. What expression represents the number of blue
marbles? A) 2b, where b represents the number of blue marbles. B) 2r,
wherer is the number of red marbles C) r+2, wherer is the number of red
marbles D) b2, where b is the number of blue marbles *

Answers

I'm pretty sure its 2r, because you are multiplying the number of red marbles by 2 to get how many blue marbles there are.

Which expression represents the area of the base of the cone?

A cone with diameter of 6 inches, height of 4 inches, and slant height of 5 inches.
B = pi r squared

(pi) (3 squared)
(pi) (4 squared)
(pi) (5 squared)
(pi) (6 squared)

Answers

Answer:

A. (pi)(3 squared)

Step-by-step explanation:

edge

it doesn’t let me type the bar

Answers

Answer:

Step-by-step explanation:

i² = -1

[tex]\sqrt{-36}=\sqrt{i^{2}*6^{2}} \\\\ = 6i[/tex]

Can someone help me please??

Answers

Slope describes how many texts you send. The y-intercept determines the total for the entire month .

Brainliest pleasseee

NEED ASAP!!! WILL MARK BRAINLLIEST!!!!!! A student solved the equation 7x - 5 - 5x = 15 and found x = 5. What is the student's error?

Answers

Answer:

the student messed up at the point of adding 5 to I5, they subtracted instead and got 2x=I0 which would mean x=5. when instead they should've added 5 and got 2x=20 and got x=I0

What system of equations is shown on the graph below?

Answers

Answer:

the second answer choice

Step-by-step explanation:

2/3 x 6 (Check all that apply
mark you brainlyest

Answers

Answer:

4

Step-by-step explanation:

2/3 * 6

~Rewrite

2/3 * 6/1

~Multiply

12/3

~Simplify

4

Best of Luck!

Answer:

4

Step-by-step explanation:

i need help plz i’ll mark u as brainliest

Answers

Answer:

yes it would be an outlier

Step-by-step explanation:

capture the line by entering one ordered pair for a point on the line

Answers

Answer:

Capture the line by entering one ordered pair for a point on the line. Then press "Zap" to see if you captured the line. Capture the line by entering one ordered pair for a point on the line. Then press "Zap" to see if you captured the line.

I need help, I dont know how to do this​

Answers

Answer:

C) SSS

Step-by-step explanation:

the 'tic' marks indicate which sides are congruent to each other

C) SSS BECAUSE THE THREE SIDES ARE GIVEN AS EQUAL HOPE IT HELP......... STAY BLESSED........THANK YOU....

simplify square root at end. pythagoreoms theorm

Answers

14.2 yd

my answer needs to be 20 characters long???

hows your day?

Answer:

14.21

Step-by-step explanation:

11 square + 9 square = 202

and then square root 202 and you get 14.21

He
has memorized 24 of the words, which is two-thirds of the list. How many
words are on the list?
words

Answers

Answer:

36

Step-by-step explanation:

24 / 3 = 8. 8 x 3 = 36 words

Answer:

36

Step-by-step explanation:

if 24 is 2/3, 24/2=12

12×3=36

Write an equation in point-slope form of the line having the given slope that contains the given point. then graph the line

(dont think u can graph so its okay)

Answers

Answer:

The line of the equation in the point-slope form of the line passing through the point (4, -2) and having slope 2 will be:

[tex]y+2=4(x-4)[/tex]

Please check the attached graph.

Step-by-step explanation:

Given

The slope m = -2The point (4, -2)

Point slope form:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

m is the slope of the line(x₁, y₁) is the point

In our case:

m = 4

The point (x₁, y₁) = (4, -2)

substituting the values m = 4 and the point  (x₁, y₁) = (4, -2)  in the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - (-2) = 4(x-4)[/tex]

[tex]y+2=4(x-4)[/tex]

Thus, the line of the equation in the point-slope form of the line passing through the point (4, -2) and having slope 2 will be:

[tex]y+2=4(x-4)[/tex]

Please check the attached graph.

1. The spinner shown below is spun once. Determine the probability of
the spinner landing on the letters P or M.
A 1 out of 2
B 1 out 3
C 1 out of 6
D 2 out of 5

Answers

Answer:

1 out of 3

Step-by-step explanation:

Two desired outcomes and six total outcomes which is 2/6 simplified is 1/3

Find the area of the isosceles triangle.
13 cm
10 cm

Answers

Answer:

Area of the triangle = 60 cm²

Step-by-step explanation:

Two equal sides of the given isosceles triangle measure 13 cm.

Third side of the triangle = 10 cm

Since, formula to get the area of a triangle with given three sides is given by,

Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where a, b and c represent the sides of the triangle

And s = [tex]\frac{a+b+c}{2}[/tex]

For the given isosceles triangle,

s = [tex]\frac{13+10+13}{2}[/tex]

s = 18

(s - a) = (18 - 13) = 5 cm

(s - b) = (18 - 10) = 8 cm

(s - c) = (18 - 13) = 5 cm

Substituting these values in the formula,

Area of the triangle = [tex]\sqrt{18\times 5\times 8\times 5}[/tex]

                                 = [tex]\sqrt{3600}[/tex]

                                 = 60 cm²

Therefore, area of the given isosceles triangle is 60 square cm.

Please Help!! A new dirt bike valued at $9000 loses 18% of its value each year. Write a function rule that models the value of the dirt bike.

Answers

Answer:

[tex]y=9000(0.82)^{x}[/tex]

Step-by-step explanation:

General exponential growth/decline equation is given as

[tex]y=ab^{x}[/tex]

where a is initial value and b is growth/decline rate

Here a=9000 and b=18%=(1-0.18)=0.82

Which value is equivalent to 1 17/20

Answers

Answer:

37/20

Step-by-step explanation:

1/1 -> 20/20

20/20 + 17/20

20 + 17 = 37

so 37/20

A company donated a box of yellow, purple, and green water bottles for a school field day. The box contained 750 yellow water bottles. This represented 30% of the total number of water bottles donated. What was the total number of water bottles donated?

Please help TwT

Answers

Answer:

14

Step-by-step explanation:

I need help with this equation -11(-8×-15) my teacher said that I need to show my work pls help me.​

Answers

First calculate (-8x-15)=120

Then multiply - 11x120

=-1320

What is the slope of the line that passes through the points
(9,-1) and (4, -11)? Write your answer in simplest form.

Answers

Answer: m = 2

Step-by-step explanation:

-11 - (-1) = -10

4 - 9 = -5

m = -10/-5 = 2

So m=2

What’s the equation for this graph?

Answers

Answer:

y=-1/4x+2

Step-by-step explanation:

y=mx+b

M=slope

B= y intercept

Ratios for 42 and 54

Answers

Answer:30 and 7

Step-by-step explanation:

Answer:

The ratio is easy to find!

Ratios are:

42:54

42 to 54

42/53

Step-by-step explanation:

            May I have brainliest I'm trying to level up!

                        </3 PureBeauty

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