Two companies modeled their profits for one yeor Which stotement describes the relationship between the profits, predicted by the models of the two companies?

Answers

Answer 1

The question is incomplete. The complete question is :

Two companies modeled their profits for one year.

Company A used the function P(t)=1.8(1.4)^t to represent its monthly profit, P(t), in hundreds of dollars, after t months, where 0 < t ≤ 12. Company B used the data in the table to write a linear model to represent its monthly profits.

Which statement describes the relationship between the profits, predicted be the models, of the two companies?

Solution :

For one year, the two companies A and B modeled their profits.

It is given that :

Company A uses function [tex]$P(t) = (1.8)(1.4)^t$[/tex] in order to represent the monthly profit of the company in hundreds of dollars after a time [tex]t[/tex].

But the company B uses the data in the table in order to write the linear model to represent their monthly income.

We know the linear function is given by :

[tex]$P(t)=mt+c$[/tex]

Here, m = slope of line

          c = y-intercept

According to the data from the table , we see that the two points [tex](3.5)[/tex] and [tex](4.10)[/tex] lies on the line so that the slope of the line is represented by :

[tex]$\frac{y-y'}{x-x'}=\frac{10-5}{4-3}=5$[/tex]

The point [tex](3.5)[/tex] passes through the given line.

∴ [tex]$5=5(3)+c$[/tex]

[tex]$5=15+c$[/tex]

[tex]$c=5-15$[/tex]

[tex]$c=-10$[/tex]

Therefore, the function will be [tex]$P(t) = 5t-10$[/tex]

So, at [tex]t=4[/tex],

the profit of the company A is [tex]$P(4)=(1.8)(1.4)^4$[/tex]

                                                          = 6.91

the profit of the company A is [tex]$P(4)=5(4)-10$[/tex]

                                                           = 20 - 10

                                                            = 10

Therefore,  [tex]t=4[/tex], the profit of the company B is more than the profit of company A.

Now at [tex]t=12[/tex],

Profit of company A is [tex]$P(12) =(1.8)(1.4)^{12}$[/tex]

                                               = 102.05

Profit of company B is [tex]P(12)=5(12)-10[/tex]

                                               [tex]$=66-10$[/tex]

                                               = 56

Therefore, the profit of company A is more that that of company B at the end of the year one.

Thus, company B had a greater profit for the fourth month and ended the year with the greater monthly profits than company A.

Option (B) is the correct answer.

Two Companies Modeled Their Profits For One Yeor Which Stotement Describes The Relationship Between The

Related Questions

How to graph y= 2x -2

Answers

Answer:

start at the y coordinate -2 then go up 2 and right 1

Step-by-step explanation:

A theatre has seats arranged in rows of 24, three hundred eighty -two(382) people attend a show at the theatre. What is the smallest number of rows that is needed to seat these people?

Answers

Answer:

Smallest number of rows that is needed to seat these people = 16

Step-by-step explanation:

Given - A theatre has seats arranged in rows of 24, three hundred eighty -two(382) people attend a show at the theatre.

To find - What is the smallest number of rows that is needed to seat these people?

Solution -

Given that,

Total number of seats in a Row = 24

Let us assume that, there are x rows

As.

There are 382 people in the Theatre

So,

Minimum seats required is

24 x = 382

⇒x = 382 ÷ 24

⇒x = 15.91

i.e.

Smallest number of rows that is needed to seat these people = 16

Subtracting a negative is the same as....

Answers

Same as adding together

Answer:

The answer is ...adding a positive

The wheel of the Singapore Flyer is a circle with a diameter of 150 metres. Calculate the circumference of the wheel. Give your answer correct to the nearest metre.

Answers

Answer:

circumference is given by πd, where d is the diameter of the circle.

This implies, the circumference= 22/7*150m

=3300/7=471.429m

What number has a value less than 14.7?​

Answers

Answer:

Anything below 14.7

Step-by-step explanation:

A student has an average (arithmetic mean) score
of 86 points for 4 tests. What total score does this
student need in the next two tests in order to have
an average of 90 for all 6 tests?

Please help!! Thank you!

Answers

Answer:

90 & 96

Step-by-step explanation:

if you add them and mean them you will conclude this solution

The total score this student needs in the next two tests in order to have an average of 90 for all 6 tests will be 196.

What is Mean?

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.

A student has an average (arithmetic mean) score of 86 points for 4 tests.

The total number of 4 tests will be

→ 86 x 4

→ 344

Then the total score this student needs in the next two tests in order to have an average of 90 for all 6 tests will be

The total number of 6 tests will be

→ 6 x 90

→ 540

Then the score in the last 2 tests will be

→ 540 - 344

→ 196

More about the mean link is given below.

https://brainly.com/question/521501

#SPJ2

Please help again I suck at geometry

Answers

Answer:

Option (6)

Step-by-step explanation:

By applying sine rule the given triangle XYZ,

sin(X) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

Measure of opposite side (XY) = 12

Measure of Hypotenuse (XZ) = 37

By substituting these values in the given expression,

sin(X) = [tex]\frac{12}{37}[/tex]

Therefore, Option (6) will be the correct option

Find the missing angle measure, arc measure of solve for x. Show all work!

Answers

Answer:

hmmmmm

Step-by-step explanation:

Answer:

m∠SRT = 47°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc.

So,

16x - 1 = 1/2(30x + 4) = 15x + 2

x - 1 = 2

x = 3

m∠SRT = 16(3) - 1 = 48 - 1 = 47

Which linear equation has a slope greater -1 but less than 0?
1. 5x+4y=20
2. 4x+5y=20
3. 5x-4y=20
4. 4x-5y=20​

Answers

Answer:

2.     4x + 5y = 20

Step-by-step explanation:

Determine the slope of each of the equations;

y = mx + c

where;

m is the slope

In each of the given equations, make y the subject of the formula

1. 5x + 4y = 20

       4y = 20 - 5x

         y = (20/4)  -  (5x/4)

         y = 5 - 5x/4

m = -5/4

2. 4x + 5y = 20

      5y = 20 - 4x

        y = 4 - 4x/5

m = -4/5 = -0.8

3. 5x - 4y = 20

        4y = 5x - 20

          y = 5x/4  - 5

m = 5/4

4. 4x - 5y = 20

          5y = 4x  -  20

            y = 4x/5  - 4

m = 4/5

The question says, which of the slope is greater than - 1 but less than 0

- 1 < m  < 0

The only equation with slope greater than -1 but less than 0 is 4x + 5y = 20, with slope -4/5 = -0.8

What is the probability of picking a 5 and then picking a 4?

Answers

Was Lincoln’s election the whole reason that the South seceded (left) or was it simply the last event to happen before the South left?

PLs, help quickly please I will give brainliest

Answers

9514 1404 393

Answer:

  outcomes (top to bottom): SS, SG, GS, GG

  all probabilities are 0.25

Step-by-step explanation:

Each outcome is identified by the labels on the ends of the corresponding tree branch, in order left-to-right. The top one is SS, for example, and the next one down is SG. Continuing down the tree, the outcomes are GS and GG.

Each letter has a probability of 1/2, so any pair of letters will have a probability of (1/2)(1/2) = 1/4 = 0.25.

__

This method of identifying outcomes and their probabilities can ensure that you find all outcomes. The sum of probabilities should be 1.00 if the tree is properly constructed.

[tex]\frac{12r}{r+2} =\frac{4}{r+2} -6[/tex]

Answers

Answer:

[tex]r = \frac{-4}{9}[/tex]

Step-by-step explanation:

[tex]\frac{12r}{r+2}= \frac{4}{r+2} -6 \\\\\frac{12r}{r+2}= \frac{4-6(r+2)}{r+2} \\\\\frac{12r}{r+2}= \frac{4-6r-12}{r+2}\\\\12r = -6r - 8\\\\12r + 6r = -8 \\\\18r = -8\\\\r = \frac{-8}{18} = \frac{-4}{9}[/tex]

The length of a trip varies directly as the amount of gasoline used. Yael's car used 16 L for the first 145 km of his trip from Toronto to Montreal. a) How much gasoline, rounded to the nearest litre, should he expect to use in the remaining 400 km of his trip? b) Can he complete the trip with a budget of $70, if gasoline costs $1.13/L?

Answers

Answer:

44

yes. the total cost is 68 which is less than 70

Step-by-step explanation:

There is positive proportionality is two variables are positively related to each other.

The equation for direct proportionality =

y = bx

where y = dependent variable

b = constant

x = independent variable

amount of gasoline = b x length of the trip  

16 = b x 145

b = 16/145 = 0.110345

a. 400 x 0.110345 = 44

total litres used for the trip = 44 + 16 = 60

total cost of the trip = 60 x 1.13 = 67.8

total amount spent on gasoline is 67.8. this is less than the budget

HELP PLEASE HURRY 10 POINTS In the figure below, which answer choice correctly identifies the name of two
line segments?
PICTURE INCLUDED

Answers

Answer:

B.

Step-by-step explanation:

Answer:

it say 5 points scam

Step-by-step explanation:

|x-1|-1=1 what’s the value of x

Answers

Answer:

x=3, x=-1

Step-by-step explanation:

|x-1|-1=1

Add 1 to each side

|x-1|-1+1=1+1

|x-1|=2

Now set the absolute value to ±2

x-1 = 2     and x-1 = -2

Add 1 to all sides

x-1+1 = 2+1         x-1+1 = -2+1

x=3                       x = -1

Answer: x = 3, x = -1

Step-by-step explanation:

|x - 1| - 1 = 1

Add 1 to each side

|x - 1| - 1 + 1 = 1 + 1

|x - 1| = 2

Now set the value to +_ 2

x - 1 = 2 and x - 1 = -2

Add 1 to all sides

x - 1 + 1 = 2 + 1 x - 1 + 1 = -2 + 1

x = 3 x = -1

Mark me as brainliest!!

i relly need help please please please

Answers

Answer:

I think answer is

5.X+11

Edward has a bag filled with green and purple M&Ms. He has a total of 36 M&Ms in the bag. There are 3 purple M&Ms for every 1 green M&M. If he randomly selects one M&M from the bag, what is the probability that it will be green?

Answers

Answer:

25% chance

Step-by-step explanation:

9 green ones in the bag. 9/36=0.25%

can someone help me with this question? will give thanks!

Answers

Answer:

B. 63

Step-by-step explanation:

There are two similar triangles given in the diagram above. Since they area similar, they also have corresponding side lengths that are proportional.

Therefore:

(6 + 3)/3 = x/21

9/3 = x/21

3 = x/21

Cross multiply

21*3 = x

63 = x

x = 63

HELPPP ME PLEAASSEE.

Answers

Answer:

Betsy's calculations in Step 1 are correct because (8 + 18) gives 26. Betsy's calculations in Step 2 are incorrect because [tex]3^4[/tex] doesn't give 12. If Betsy reaches her goal each year, she will have 2,106 customers 4 years from now.

Step-by-step explanation:

What he said tbhhhh

The lines of symmetry in a regular polygon are equal to the number of sides minus 2. True or False

Answers

Answer:

False

Step-by-step explanation:

A regular polygon may be defined as the polygon that have sides of equal length known as equilateral and angles made up of equal angles, known as equiangular.

The [tex]$\text{number of lines}$[/tex] of symmetry in a regular polygon is always equal to the number of sides of the polygon. For example, a regular pentagon have 5 sides, so the lines of symmetry of the regular pentagon is also 5, a square having 4 sides also has 4 lines of symmetry.

The sound of a jet engine of a skyhawk jetfighter is 70000 times louder than the sound of a lawnmower if the lawnmower has the loudness of 88db then what is the loudness of the jet engine rounded to the 1DP

Answers

Answer: 6,160,000 db

Step-by-step explanation:

The sound of a jet engine is 70,000 times louder than that of a lawn mower.

Since we know the sound of a lawnmower, we can multiply that by 70,000 to find the sound of a jet engine:

= Sound of lawnmower * 70,000

= 88 * 70,000

= 6,160,000 db

Given triangle XYZ:
Angle X = 90°
Angle Y = 45°
Angle Z=

Answers

Answer:

Hello! answer: 45

Step-by-step explanation:

90 + 45 + 45 = 180 therefore z = 45 hope that helps!

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

45°

»»————- ★ ————-««  

Here’s why:  

The three interior angles of a triangle will always have a sum of 180°.

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Missing Angle:}}\\\\\rightarrow90 + 45 + x = 180\\\\\rightarrow 135 + x = 180\\\\\rightarrow 135-135 + x = 180 - 135\\\\\rightarrow \boxed{x = 45}\\\\\text{Therefore:}\\\\\measuredangle Z = 45$^{\circ}$[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

hellllllllllllllp meeeeeeeeeeeeeee thank you

Answers

Answer:  Choice B) SAS

=======================================================

Explanation:

The sides that have the double tickmarks are the same length. This forms one "S" of "SAS".

The square angles are 90 degree angles, or right angles. They are congruent. This forms the "A" of "SAS".

The overlapping sides are the same length, which forms the second "S" of "SAS".

The angle is between the two sides allowing us to use SAS. The order is important.

A concert venue sells 16% of its tickets as reserved seats an upcoming concert sells 8,000 tickets .how many tickets are reserved

Answers

Ur answer is 1280 tickets

Jean, Pierre and Rachel are friends. Pierre is 8 years older than Rachel, while Jean is 15 years younger
than double the age of Peter. In addition, the sum of Peter's age and a quarter of Rachel's age is
John's age minus 5. Find out what each person's ages are.

AYO CAN ANYONE HELP ???

Answers

Answer:

Step-by-step explanation:

Cette même question... mais il me semble que quelqu'un a déjà répondu :)

This track is made of a rectangle and two semicircles.
Find the perimeter of its outer edge, outlined in bold.

Answers

Answer:

the perimeter of thr outer breath is 34

At a​ college, the cost of tuition increased by 9​%. Let z be the former cost of tuition. Use the expression z + 0.09z for the new cost of tuition. Write an equivalent expression by combining like terms
12 pointsss!!!

Answers

1.09z

Explanation:
z + 0.09z
= (1 + 0.09)z
= 1.09z

I need help time is running!!

Answers

Answer: 1/3piex^2

3rd one down

Step-by-step explanation:

I’m not positive sorry if I’m wrong

find the value.plzzz I will mark as the brillianest plzzzzzzzzzzzzzzzzzzzz​

Answers

Answer:

n= 75

y= 75

z= 50

p= 105

other n across from p= 105

Step-by-step explanation:

n and y are the same since the triangle is isoseles.

p is supplemetary to n

z and 50 are opposites in a quadrilateral

The sides of a rectangle are in a ratio of 7 : 4. If the perimeter of the rectangle is 176 ft, what is the area of the rectangle? The area of the rectangle is

Answers

Answer:

1792

Step-by-step explanation:

The sides of the rectangle is 7 and 4

7x, 4x

2(7x+4x) = 176

14x + 8x= 176

22x= 176

Divide both sides by the coefficient if x which is 22

x= 176/22

x= 8

7x

= 7(8)

= 56

4x

= 4(8)

= 32

Area of the rectangle

= 56×32

= 1792

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