Calculate had a net income of 8 million dollars in 2010, while a small competing company, Computate, had a net income of 3 millions dollars. The management of Calculate develops a business plan for future growth that projects an increase in net income of 0.5 million per year, while the management of Computate develops a plan aimed at increasing its net income by 20% each year.

a. Create standard mathematical model (table, graph, or equations) for the projected net income over time for both companies. Make sure that each model is accurate and labeled properly so that it represents the situation.

b. Compare the two companies. How are the representations of for the net income of the two companies similar? How do they differ? What relationships are highlighted in each representation?

c. If both companies were able to meet their net income growth goals, which company would you choose to invest in? Why?

d. When, if ever, would your projections suggest that the two companies have the same net income? How did you find this? Will they ever have the same net income again?
Can someone help me solve this problem?

Answers

Answer 1

The question is an illustration of a linear function and an exponential function.

The given parameters are:

Calculate Company

Initial net income: $8 million

Rate: $0.5 million per year

Computate Company

Initial net income: $3 million

Rate: 20% each year

(a) Standard mathematical model

The model of calculate company is best represented using a linear function, while the computate is best modeled by an exponential function.

A linear function is represented as:

[tex]y = mx + b[/tex]

Where:

m represents rateb represents the initial value

An exponential function is represented as:

[tex]y = a(1 + r)^x[/tex]

Where:

r represents ratea represents the initial value

So, the functions are:

[tex]y=8 + 0.5x[/tex] --- calculate company

[tex]y =3(1.2)^x[/tex] --- computate company

See attachment for the graph of both functions

(b) Compare both functions

From the graph of both functions, we have the following comparison:

The calculate company has a higher y-interceptThe computate company follows a more realistic model

(c) The company to choose

In (b), we concluded that:

The computate company follows a more realistic model

Hence, it is better to invest in the computate company

(d) When both companies have the same net income

From the attached graph, both functions meet at approximately (8, 12)

This means that they have the same net income in 2018

The graphs do not meet again.

This means that, they would never have the same net income again

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Calculate Had A Net Income Of 8 Million Dollars In 2010, While A Small Competing Company, Computate,

Related Questions

The sum of two numbers is 25. Their difference is 7. Find the
numbers.

Answers

Answer:

The writing isn't clear though hope it helps

Find the median.......​

Answers

Answer:

(i) mean: 5.4 median: 5.5 mode: 8

(ii) mean: 4.6 median: 5 mode: 5

(iii) mean: 17.5 median: 4 mode: 4

Step-by-step explanation:

Hope this helps :) please mark me Brainliest

3.4 is what percent of 4.25?

Answers

Answer: 3.4 is 80% of 4.25

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 4.25 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 4.25, so we can write it down as 100%=4.25.

4. We know, that x% equals 3.4 of the output value, so we can write it down as x%=3.4.

5. Now we have two simple equations:

1) 100%=4.25

2) x%=3.4

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=4.25/3.4

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.4 is what percent of 4.25

100%/x%=4.25/3.4

(100/x)*x=(4.25/3.4)*x       - we multiply both sides of the equation by x

100=1.25*x       - we divide both sides of the equation by (1.25) to get x

100/1.25=x

80=x

x=80

now we have:

3.4 is 80% of 4.25

BASICALLY 80%-

Help me with three questions a brainlist!

Answers

Answer:

Step-by-step explanation:

First question

1 solution

6p-12= - 5p       Take 6p from both sides-12 = -5p - 6p    Combine-12 = - 11p           Divide by - 11-12/-11 = p1.09 = p

Second Question

Infinitely many solutions.5p + 10 = 5p + 10No matter what value you use for p, the right side of the equation always equals the left side.

Third question

y = 25 - 2xx = 6y = 25 - 2*6y = 25 - 12y = 13

There are 13 more stops to make.

Which is a critical point of the function f(x) = sin(2x) in the interval [0,2pi] ?
A.
pi/2
B.
3pi/2
C.
pi/2, 3pi/2
D.
pi/4, 3pi/4

Answers

Answer:

D   pi/4, 3pi/4

Step-by-step explanation:

Differentiate the function then equal it to zero and solve for the interval (see attached workings)

What percentages of these grids are shaded? a) b) ​

Answers

Answer:

a) is 60 percent and b) is 55 percent

Step-by-step explanation:

a) = 60 percent

First count up all the squares. That's 10 squares in total. Now count up all the squares that are shaded. That's 6. So the amount that's shaded is 6/10, but we need to find that in percentage, so we divide. 6 divided by 10 is 0.6, or 60 percent. The answer to a) is 60 percent.

b) = 55 percent

First count up all the squares. That's 20 squares in total. Now count up all the squares that are shaded. That's 11. So the amount that's shaded is 11/20, but we need to find that in percentage, so we divide. 11 divided by 20 is 0.55, or 55 percent. The answer to b) is 55 percent.

The Percentages of shaded portion are 60% and 55% for Grid A and Grid B respectively.

What are percentages?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here: Grid A) 2 rows and 5 columns B) 4 rows and 5 columns

Thus total number of grids for Grid A) and Grid B) are 10 and 20 boxes respectively.

%Shaded portion (Grid A)= 6/10 ×100

                                          =60%

%Shaded portion (Grid B)=11/20×100

                                          =55%

Hence, The Percentages of shaded portion are 60% and 55% respectively.

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1.the answer
2.you get 100 points.

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We need slope

Take any 2 points

(1,3)(2,6)

Slope:-

[tex]\\ \tt\hookrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \tt\hookrightarrow m=\dfrac{6-3}{2-1}[/tex]

[tex]\\ \tt\hookrightarrow m=\dfrac{3}{1}[/tex]

[tex]\\ \tt\hookrightarrow m=3[/tex]

The sum of two numbers a and b is 7 and the difference is 2.
What is the value of a x b ?

Answers

Answer: 5000000

Step-by-step explanation:

If the simple interest on 7,000 for 2 years is 1,120, then what is the interest rate

Answers

Answer:

using I= prt/100

p=7000-1120= 5880

1120=5880×r×2/100

112000=11760×r

r= 112000÷11760

r =9.52%

A 4 foot long sandwich is cut j to servings that are each 1/3 foot long. How many servings will there be after the sandwich is cut

Answers

Answer:

12

Step-by-step explanation:

if I have 1 foot and I split it into 3 sections (1/3 of a sandwich) I would have 3 servings, because I have 4 feet I have to time 3 times 4, which equals 12

There were 74 female hobbits in the middle earth books. What percent of hobbits is that?
Please help! I’m absolutely stumped on this question and it’s due tomorrow! Thank you!!
-a new user

Answers

The caption mentions there are 937 total known characters.

The pie chart says 26% of these characters are hobbits, so there are

0.26 × 937 ≈ 243.62 hobbits

so at least 243 hobbits.

If 74 of them are female, then they make up

74/243 ≈ 0.304527 ≈ 30.5%

of the total number of hobbits.

How long is the tape for 30 mins?

Answers

Answer:

1.44 meters

Step-by-step explanation:

0.048 * 30 = 1.44

Luz has two dogs. The big dog eats 1 1/2cans of dog food each day. The little dog eats 2/3of that. How much dog food does the little dog eat each day?

Answers

Answer:

1/4 of a can

Step-by-step explanation:

1 1/2÷2/3 = 1 / 4

1 1/2 divided by 1/3=1/2 so if we have 2 so it is

4 ÷ 4=1

16÷4=4


5. It takes Eva 1 hour to wash the car and 2 hour:
to clean her room. How many minutes does Eva
spend completing these chores?

A 60 min
B 180 min
C 120 min
D 240 min

Answers

Answer:180 1 hour= 60 minutes 60x3=180
B. because I just took a quiz on the exact same thing you’re doing

I need help on this please

Answers

Answer: B, 2.4 Units
Explanation: Since the two triangles are similar, the lengths of the triangles are equal in ratio. This equates to:
AB/DE = AC/DF
since the value of AB/DE IS 5/3, the ratio between AC and DF are the same.
Substitute the ratio with the values of AC and DF, and you will get the value of DF.
If you don't understand feel free to look at my workings

Which describes the solutions of the equation? Since 7 and 11 are both rational, the sum and difference are rational. Since 14 and 11 are both rational, the sum and difference are rational. Since 7 is rational and StartRoot 11 EndRoot is irrational, the sum and difference are irrational. Since StartRoot 7 EndRoot is irrational and 11 is rational, the sum and difference are irrational.

Answers

Answer:

since 7 and 11 are both rational, the sum and difference are rational

Step-by-step explanation:

did it on edge

Since 7 and 11 are both rational, the sum and difference are rational.

The answer is option A.

Which describes the solutions of the equation?

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

A system of equations is a collection of two or more equations with the same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.

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Katarina makes 2 gallons of punch for her party how many cups of punch did she make

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Answer:

38

Step-by-step explanation:

HELP ASP THIS IS MY MATH SOMEONE PLEASE HELP

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Answer: 2, 3, 5

Step-by-step explanation: 6*6 is 6^2 and 6*6*6 is 6^3 and you can add the exponents, so the last one is 6^5.

Solve the system of linear equations by elimination. x + 5y = 15 and -x - 2y = 0

Answers

Answer:

X= - 10

Y=5

Step-by-step explanation:

First add the equations and x will be eliminated, then solve for y as a normal linear function, and the answer is 5.

Substitute thw y in any function, I substituted in the first one, and solved for x and got negative 10 as an answer.

A puppy is eating breakfast. This table represents the number of minutes it takes the puppy to eat and the amount of kibble eaten.Minutes Passed48912Number of kibble pieces eaten816`1824What is the unit rate?

Answers

Answer:

the answer is two

Step-by-step explanation:

i don't have one but i did the quiz and got it right

5) Solve the inequality.
3x/2 -2 >7
A) X>6
B) <6
C) x>-6
D) X <-6

Answers

Step-by-step explanation:

3x/2 - 2 > 7

3x/2 > 9

3x > 18

x > 6

for the line graphic below it seems you need to calculate x.

please consider that both angles together must be 180°, as they represent the full rotation area around one point on one side of a line.

8x + (4x + 60) = 180

8x + 4x + 60 = 180

12x = 120

x = 10

What fraction with a denominator of 12 is equivalent to 1/4?

Answers

Answer:

the fraction 3/12

Step-by-step explanation:

it is saying that x/12 = 1/4

x = 1 × 12 / 4

x = 12/ 4

x = 3

the fraction 3/12

What is the slope of this line?
5(y+2)=4 (x-3)

Answers

Answer:

Divide y y by 1 1 . Move the negative in front of the fraction. Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 45 .

Step-by-step explanation:

Hope this helps.

When someone is 50 m away and there is someone is 3m away how far apart are they?

Answers

78 m long
Correct answe for sure im not lying

if your asking how far apart are they from each other then that would be 47 m away from each other.

Hope this helps!!

If 5 Superscript 3 b minus 1 Baseline = 5 Superscript b minus 3, what is the value of b?.

Answers

It sounds like you're given

[tex]5^{3b-1} = 5^{b-3}[/tex]

Since the bases on either side match (5), the exponents must be equal. So

3b - 1 = b - 3

Solve for b :

3b - b = -3 + 1

2b = -2

b = -1

Determine the cost per pound to see what the better buy. 3 pounds of turkey for $10.50 over to 1/2 pound for $6.25

Answers

Answer:

3 pounds of turkey for $10.50

Step-by-step explanation:

1. 10.50/3 = 3.5 dollars per pound.

2. 6.25/.5 = 12.5 dollars per pound

Write a expression 17 more than x.
Please help thank you !

Answers

Answer:

x + 17

Step-by-step explanation:

So a number 17 more than x is equal to x+17.   Hence “17 more than a number” written as an algebraic expression is “x+17”.

Please help me solve these equations please and thank you

Answers

Answer:

Step-by-step explanation:

O
When folded I become a solid figure.
. I have 6 vertices.
. I have 9 edges
WHAT AM I?

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Answer:

Triangular prism?

Step-by-step explanation:

I done this riddle before but I dont remember to cleary of what the answer is.

The angle of elevation to a nearby tree from a point on the ground is measured to be 69^{\circ}

. How tall is the tree if the point on the ground is 35 feet from the tree? Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

The tree is approximately 91.2 ft tall.

Step-by-step explanation:

Hi there!

We're told:

- angle of elevation = 69 degrees

- there is a point 35 feet from the tree

If we were to draw this out, it would appear to be a right angle triangle. See the picture below.

Now, to solve for the height of the tree, we can use the sine law:

[tex] \frac{a}{ \sin(a) } = \frac{b}{ \sin(b) } [/tex]

where a and b are two sides of a right triangle and A and B are the respective opposite angles

Let the height of the tree = h.

Side h is opposite of the angle measuring 69 degrees:

[tex] \frac{h}{ \sin {69}^{o} } [/tex]

Let the angle opposite of the side measuring 35 feet = A.

[tex] \frac{35}{ \sin(a) } [/tex]

Because the sum of a triangle's interior angles is 180 degrees, we know that A=180-90-69=21 degrees.

[tex] \frac{35}{ \sin {21}^{o} } [/tex]

Use the sine law:

[tex] \frac{h}{ \sin {69}^{o} } = \frac{35}{ \sin {21}^{o} } [/tex]

[tex]h = \frac{35}{ \sin {21}^{o} } \: \sin {69}^{o} [/tex]

[tex]h = 91.17812[/tex]

Therefore, the tree is approximately 91.2 ft tall.

I hope this helps!

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