fred and wilma purchase a new home for 150,000. The vaule of the home increases by 4% every 3 years. Determine the value of the home after 20 years​

Answers

Answer 1
Final answer:

Fred and Wilma's home increases in value by 4% every 3 years. Using the compound interest formula, it's calculated that after approximately 6 full periods in 20 years, the value of the home is approximately $189,740.10.

Explanation:

Fred and Wilma's home value increases by 4% every 3 years. To calculate the value of the home after 20 years, we need to first determine how many 3-year periods fit into 20 years, which is approximately 6.67 periods. However, since the home value increases only at the end of each 3 year period, we only consider the full periods, making it 6. We use the formula for compound interest: A = P(1 + r/n)^(nt), where:

A is the amount of money accumulated after n years, including interest. P is the principal amount ($150,000 in this case). r is the annual interest rate (decimal). n is the number of times that interest is compounded per year. t is the time in years.

Substituting the values into the formula, we get: A = $150,000 (1 + 0.04/1)^(1*6). After performing the calculations, the future value of the home after 20 years approximately equates to $189,740.10.

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Related Questions

Daniel Capo
Solve System of Equations from Context
Jan 21,7:26:04 PM
Sydney is going to a carnival that has games and rides. Each game costs $1.25 and
each ride costs $2.25. Sydney spent $24.25 altogether at the carnival and the number
of rides she went on is 3 more than the number of games she played. Determine the
number of games Sydney played and the number of rides Sydney went on.
Sydney played
games and went on
rides rides.
Submit Answer
attempt 1 out of 2
Tyne here to search

Answers

Answer:

The number of games Sydney played is 5 and the number of rides she went on is 8.

Step-by-step explanation:

Given:

Sydney is going to a carnival that has games and rides. Each game costs $1.25 and  each ride costs $2.25. Sydney spent $24.25 altogether at the carnival and the number  of rides she went on is 3 more than the number of games she played.

Now, to find the number of games Sydney played and the number of rides she went on.

Let the number of games she played be [tex]x.[/tex]

As given, the number  of rides she went on is 3 more than the number of games she played.

So, the number of rides be [tex]x+3.[/tex]

Each game costs $1.25 and  each ride costs $2.25. Sydney spent $24.25 altogether at the carnival.

According to question:

[tex]1.25x+2.25(x+3)=24.25[/tex]

[tex]1.25x+2.25x+6.75=24.25[/tex]

[tex]3.50x+6.75=24.25[/tex]

Subtracting both sides by 6.75 we get:

[tex]3.50x=17.50[/tex]

Dividing both sides by 3.50 we get:

[tex]x=5.[/tex]

Number of games = 5.

So, number of rides:

[tex]x+3\\=5+3\\=8.[/tex]

Therefore, the number of games Sydney played is 5 and the number of rides she went on is 8.



A person with a monthly income of $1850 pays $550 a month rent. What percent of the salary is spent on rent?

Answers

Answer:

33%

Step-by-step explanation:

hope this helps :)

Answer:

it is 33% thank you

Step-by-step explanation:

hope this helps ,':) XD

How do dhhdhdbsjjajsd

Answers

you just hdhuwvdvejidjxgsnnakAvbdijernxnhxiz
Sorry to say I am not sure how to do this

f(x) = x − 8, g(x) = x2 Find (f + g)(x)

Answers

[tex](f+g)(x) \text{ is equal to } x^2+x-8[/tex]

Solution:

Given that the functions are:

[tex]f(x) = x-8\\\\g(x)=x^2[/tex]

We have to find the value of (f + g)(x)

By operations on functions, we know that,

(f + g)(x) = f (x) + g(x)

Thus (f + g)(x) can be found by adding both the given functions

[tex](f + g)(x) = f (x) + g(x)\\\\(f + g)(x) = x - 8 + x^2\\\\(f + g)(x) = x^2+x-8[/tex]

Thus (f + g)(x) is equal to [tex]x^2+x-8[/tex]

Find the maximum value or minimum value for the function f(x) = 0.15(x + 1)² - 3.
0.15
3
1
-3

Answers

Answer:

The minimum value for  [tex]f(x) = 0.15(x + 1)^2 - 3[/tex] is [tex]-3[/tex].

Step-by-step explanation:

Given function is [tex]f(x) = 0.15(x + 1)^2 - 3[/tex]

We need to find the maximum value or the minimum value for the function.

Now, differentiate [tex]f(x) = 0.15(x + 1)^2 - 3[/tex]  w.r.t [tex]x[/tex].

[tex]f'(x) =\frac{d}{dx}(0.15(x + 1)^2 - 3)\\f'(x)=\frac{d}{dx}(0.15(x+1)^2-\frac{d}{dx}(3)\\[/tex]

[tex]f'(x)=2\times 0.15(x+1)\frac{d}{dx}(x+1)-0\\f'(x)=0.3(x+1)(1)\\f'(x)=0.3(x+1)[/tex]

Now, we will equate [tex]f'(x)=0[/tex] to find critical point.

[tex]0.3(x+1)=0\\x=-1[/tex]

Plug this critical point in to the function [tex]f(x) = 0.15(x + 1)^2 - 3[/tex]  we get,

[tex]f(-1) = 0.15(-1 + 1)^2 - 3\\f(-1)=-3[/tex]

Also, [tex]f''(x)=0.3[/tex] which is positive, We have minimum value.

So, the minimum value for  [tex]f(x) = 0.15(x + 1)^2 - 3[/tex] is [tex]-3[/tex].

A magazine as states that 4 out of 7 dentists prefer flash toothpaste.If 1400 dentists were surveyed, how many dentists recommended Flash toothpaste

Answers

800 dentists recommended Flash toothpaste

Solution:

Given that, magazine as states that 4 out of 7 dentists prefer flash toothpaste

1400 dentists were surveyed

To find: Number of dentists recommended falsh toothpaste

Let "x" be the number of dentists recommended falsh toothpaste

Then, we can say,

4 out of 7 equals x out of 1400

[tex]\rightarrow \frac{4}{7} = x \times 1400\\\\\rightarrow x = \frac{4}{7} \times 1400\\\\\rightarrow x = 800[/tex]

Thus 800 dentists recommended Flash toothpaste

Divide. Express your answer in simplest form.
2 1/2divide2 1/6

Answers

Answer:

Step-by-step explanation:

form.

2 1/2divide2 1/6

= 5/2 ÷ 13/6

= 5/2 × 6/13

= (5×3)/13

= 15/13

= 1 2/13

Answer:

1 2/13.

Step-by-step explanation:

2 1/2 / 2 1/6

= 5/2 / 13/6

= 5/2 * 6/13

= 30/26

= 15/13

= 1 2/13

=

Solve the proportion. Show all work. 2x/3=20/5

Answers

Answer:

2x/3 = 4

2x = 4*3

2x = 12

x = 12/2

x = 6

Hope it helps...

27^4–9^5 3^9 is divisible by 25

Answers

Answer:

  no

Step-by-step explanation:

If you mean

  27^4 - 9^5·3^9 = -1161730026

it has no factors of 5, so cannot be divisible by 25.

__

If you mean ...

  (27^4 -9^5)/3^9 = ((3^3)^4 -(3^2)^5)/3^9 = 3^10(3^2 -1)/3^9 = 3(9-1) = 24

it is not divisible by 25, either.

Answer:

[tex]3^9(25)[/tex]

Step-by-step explanation:

Let's rewrite all values with a base of 3:

[tex]27^4 = (3^3)^4 = 3^{12}\\\\\\9^5 = (3^2)^5 = 3^{10}\\\\\\3^9 = 3^9[/tex]

Now, let's factor the equation:  [tex]3^{12} -3^{10} + 3^{9}[/tex]

[tex]\\3^{12} -3^{10} + 3^{9}\\\\= 3^9(3^3 - 3 + 1)\\\\= 3^9(27 - 2)\\\\= 3^9(25)[/tex]

Your answer is    [tex]3^9(25)[/tex]

18 is what percentage of 25

Answers

Answer:

Step-by-step explanation:

72%

Answer: 72%

Step by Step Explanation:

1. We assume, that the number 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 25, so we can write it down as 100%=25.

4. We know, that x% equals 18 of the output value, so we can write it down as x%=18.

5. Now we have two simple equations:

1) 100%=25

2) x%=18

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%=25/18

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

7. Solution for 18 is what percent of 25

100%/x%=25/18

(100/x)*x=(25/18)*x       - we multiply both sides of the equation by x

100=1.38888888889*x       - we divide both sides of the equation by (1.38888888889) to get x

100/1.38888888889=x

72=x

x=72

now we have:

18 is 72% of 25

solve the inequality. (x-3)(x-4)/(x-5)(x+6)^2>0

Answers

Answer:

C

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Consider the numerator;

When (x - 3)(x - 4) = 0

x = 3 or x = 4.

When x > 3 and < 4 (x - 3)(x- 4)  will be negative and the denominator  (x - 5(x + 6)^2 will be negative so the function will be positive.

So 3  < x < 4 is a part of the answer.

When x > 5 the denominator will be positive  and so will be the numerator.

So x > 5 also is a solution.

When x < 3 the numerator will be positive and the denominator will be negative so the function will be negative.

Find two fractions that are not equivalent to 2/4 but that are equivalent to each other

Answers

Answer:

1/5 and 2/10

Step-by-step explanation:

Mo is thinking of a number. Eleven more than one third of the number is -1. Find mo’s number.

Answers

Answer:

n = -36

Step-by-step explanation:

Let the number be n.

Then n/3 + 11 = -1

Solve for n/3, and then for n:

Subtract 11 from both sides, obtaining

n/3 = -12

Multiplying both sides by 3 yields:

n = -36

The required number that Mo thought of is -36.

A number is determined that Mo is thinking of a number. 11 more than 1/3 of the number is -1.  

What is an algorithm?

in mathematics it is used to decode the statement into mathematical expression to evaluate problems.

Let the number be x and this number is 11 more than 1/3 of that number equal to -1.


⇒ 1/3(x)+11= -1
    1/3(x) = -12
     x = -36

Thus, the required number that Mo thought of is -36.

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Can someone help me on this question plz


Karen measured 20 cm between two points on the map below.

What is the actual distance between the two points at the campground?


A:150 miles

B: 25

C: 50

D:100

Answers

Answer:

D:100

Step-by-step explanation:

20x5 cm.

Actual distance between two points is 100 miles

Given that;

Distance between two points = 20 cm

Scale factor = 1cm = 5 mile

Find:

Actual distance between two points

Computation:

Actual distance between two points = 20 × 5

Actual distance between two points = 100 miles

So, Option "D" is the correct answer to the following question.

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At Joe's Print Shop, the amount of time it takes to complete a print job can be represented by t = 45 + 5p where t is
the time, in seconds, and p is the number of pages being printed. At Jerry's Print Shop, the amount of time it takes
to complete a print job can be represented by t = 30 + 6p where t is the time, in seconds, and p is the number of
pages being printed. What is the maximum number of pages for which the amount of time will be shorter to print
at Jerry's Print Shop than at Joe's Print Shop?
A. 11
B. 12
C. 13
D. 14
E. 15

Answers

Final answer:

The maximum number of pages for which the time to print at Jerry's Print Shop is less than at Joe's Print Shop is 14.

Explanation:

This question deals with comparing two linear equations [tex]t1 = 45 + 5p[/tex] for Joe's Print Shop and t2 = 30 + 6p for Jerry's Print Shop. To determine the maximum number of pages (p) where Jerry's shop is quicker than Joe's, we need to find the value of p where t2 < t1.

Setting the two equations equal to each other, we get:

[tex]45 + 5p = 30 + 6p,[/tex]

Solving this equation, we find that p = 15.

However, p=15 is when the time at both shops is the same. Since we want the number of pages for which Jerry’s is less than Joe's, we should choose the next value lower, which is p=14.

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Find the median for the following set of data: 41, 99, 37, 52, 39, 17, 95 a. 44 c. 53 b. 37 d. 41

Answers

Answer:

41 (d)

Step-by-step explanation:

Median is the middle value when arranged in ascending order.
17, 37, 39, 41, 52, 95, 99
The middle value is 41, therefore the answer is d.

A self-serve frozen yogurt store made these graphs to study the data collected about its customers' purchases. Which statement is true?
(Graph Shoen in picture above)

Answers

Data collection is the process of gathering and measuring information on variables of interest. strawberry yoghurt makes up less than 1/3 of their sales

What is data collection?

Data collection is the process of gathering and measuring information on variables of interest, in an established systematic fashion that enables one to answer stated research questions, test hypotheses, and evaluate outcomes.

The data collection component of research is common to all fields of study including physical and social sciences, humanities, business, etc. While methods vary by discipline, the emphasis on ensuring accurate and honest collection remains the same.

In the first graph, the strawberry yogurt is a little larger than 1/4. Second, the yogurt increases instead of decreases n the first six months. And third, the store actually sold a little less than 3,000 yogurts in November than in August.

Hence  strawberry yoghurt makes up less than 1/3 of their sales

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Final answer:

The question deals with interpreting graphical data from a frozen yogurt store, analyzing statistical data to determine independence of variables, and understanding sales and cost curves in relation to profit in a business case.

Explanation:

The student is asking about interpreting graphs related to customer purchase behavior from a frozen yogurt store and analyzing statistical data in various situations. For instance, when analyzing whether the geographic location is independent of favorite ice cream flavors or discussing the relationship between store temperature and energy consumption, understanding and interpreting graphical data is crucial. In terms of sales and costs for a raspberry farm, understanding the graph where the total cost curve intersects the vertical axis indicates fixed costs, and the upward slope shows variable costs in relation to revenue, which identifies profit maximization points. These analyses are part of mathematical statistics, which is used to making informed decisions in a business context.

How many times does 7 go into 2,400

Answers

Answer:

about 324 times.

Step-by-step explanation:

2400/7

342.857142857

You divide 2,400 by 7. That is about 343. So, 7 goes into 2400 about 343 times.

Suppose a refrigerator that sells for$700 costs $85 a year for electricity. Write an expression for the cost to buy and run the refrigerator for x years.

Answers

first refrigerator cost

C(x1)=700+85x
C(10)= 700+850
C(10)= 1550

refrigerator 2nd

C(x2) = 1000+25x
C10) =1000+250
C(10)=1250
Now you know it.
same cost

700+85x=1000+25x
60x=300
x= 5 years

Answer:

Step-by-step explanation:

700 + 85x <=== ur expression

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle:
A(-7,-5), B(-7, 6), C(-4,6), and D(-4,-5).
Given these coordinates, what is the length of side CD of this rectangle?

Answers

The length of side CD is 11.

To find the length of side CD, we can use the distance formula, which is as follows:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, the coordinates of the two points are (-4, -5) and (-4, 6). Substituting these coordinates into the distance formula, we get:

distance = √(((-4) - (-4))^2 + ((6) - (-5))^2)

distance = √(0^2 + 11^2)

distance = √121

distance = 11

Therefore, the length of side CD is 11.

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Which data set below has the weakest correlation?

Answers

Answer:

C.

Step-by-step explanation:

I just got it right

You have 125% of the tickets required for a souvenir. What fraction of the required tickets do you have? Do you need more tickets for the souvenir?
Explain. Write your answer in simplest form.



PLEASEEEE HELP!!

Answers

Answer:

The answer is that it requires 4/5 of your total amount of tickets

Step-by-step explanation:

You break it down originally into fourths, 25x4 = 100% or 100. 125% would be 125 tickets since its by percentage. you'd have a remaining 25 tickets after purchase

Answer:

It is 4/5

Step-by-step explanation:

dont worry

Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils
left over. How many pencils were in each package? Use the drop-down menus to solve the
problem arithmetically and algebraically.
Click the arrows to choose an answer from each menu.
To determine the solution arithmetically, first
Choose...
and then
Choose...
To determine the solution algebraically, set up and solve the equation
Choose...
Each package contained Choose...
pencils.

Answers

Answer:

there were 12 pencils in each packet

Answer:

-add 8 and 40

-divide by 4

-not sure

-12

Step-by-step explanation:

What is the range of f(x) = 3/4x -4
{y | y > –4}
{y \ y > 3/4}
{y | y < – 4}
{y | y < 3/4}

Answers

Answer:

The range is the resulting y-values we get after substituting all the possible x-values.

For the given function : [tex]f(x) = \frac{3}{4x} -4[/tex]

See the attached figure.

The zeros of the denominator at x = 0

The domain is: (-∞,0)∪(0,∞)

The range of the function is the domain of the inverse function of f(x)

y = 3/(4x) - 4

y + 4 = 3/(4x)

4x = 3/(y+4)

[tex]x=\frac{3}{4(y+4)}[/tex]

The zeros of the inverse function:

4(y+4) = 0

y + 4 = 0

y = -4

∴ The range is (-∞,-4)∪(-4,∞)

So, the answer is {y | y > –4} ∪ {y | y < – 4}

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

Note: If the given function is : [tex]f(x) = \frac{3}{4} x-4[/tex]

It will be first degree polynomial function.

Both of the domain and the range = all real numbers R

-x3+3x2+5x+1
Evaluate when x=-12
Can someone help me I don’t understand this :(

Answers

Answer:

2102

Step-by-step explanation:

Evaluate   -x³+3x²+5x+1   when x = -12

simply substitue x = -12 into the equation

-x³+3x²+5x+1   when x = -12

= - (-12)³ + 3(-12)² + 5(-12)+1

= -(-1728) + 3(144) - 60 + 1

= 1728 + 432 - 60 +1

= 2102

To evaluate the polynomial -x^3 + 3x^2 + 5x + 1 for x = -12, we substitute -12 for x and simplify, resulting in a final value of 2101.

The student is asking to evaluate the polynomial -x^3 + 3x^2 + 5x + 1 when x = -12. To solve this, we substitute -12 for x in the polynomial and simplify:

Substitute x with -12: -(-12)^3 + 3(-12)^2 + 5(-12) + 1Simplify the equation: -( -12 x -12 x -12) + 3( -12 x -12) + 5( -12) + 1Calculate the powers: -(-1728) + 3(144) - 60 + 1Multiply and add: 1728 + 432 - 60 + 1Combine like terms: 1728 + 432 - 60 + 1 = 2101

Therefore, when x = -12, the polynomial evaluates to 2101.

Need help ASAP please and thank you

Answers

Answer:

X=4

Step-by-step explanation:

The angle CA equals 4. The angle AB are equal to the angle CA therfore, the outcome of x=4.

15 POINTS
question 9
A student finds the slope of the line between (14, 1) and (18, 17). She writes 1 - 17 over 18 - 14. What mistake did she make?

a.
She should have added the values, not subtracted them.

b.
She did not keep the order of the points the same in the numerator and the denominator.

c.
She mixed up the x- and y-values.

d.
She used y-values where she should have used x-values.

Answers

Answer:

D

14,1

x1  y1                     18,17

                            x2  y2  

17-1     =16/12

18-4

Answer:

b.

She did not keep the order of the points the same in the numerator and the denominator.

Step-by-step explanation:

Cruz is training to compete in a triathlon. He left his house at 6:00 and ran until 7:30. Then he rode his bike until 9:45. He covered a total distance of 51 miles. His speed when biking was 1.6 times his speed when running. Find Cruz’s biking and running speeds.

Answers

The speed in running is 10 mph and speed in biking is 16 mph

Solution:

Given that, Cruz is training to compete in a triathlon

He left his house at 6:00 and ran until 7:30

Time taken for running = 1.5 hours

Then he rode his bike until 9:45

7: 30 to 9: 45 is biking time

Time taken for biking = 2.25 hours

He covered a total distance of 51 miles

Total distance = 51 miles

Let "x" be the speed in running

His speed when biking was 1.6 times his speed when running

Speed in biking = 1.6x

Total distance = distance in running + distance in biking

The distance is given by formula:

[tex]distance = speed \times time[/tex]

Therefore,

[tex]Total\ Distance = x \times 1.5 + 1.6x \times 2.25\\\\51 = 1.5x + 3.6x\\\\5.1x = 51\\\\x = 10[/tex]

Thus speed in running is 10 miles per hour

Speed in biking = 1.6x = 1.6(10) = 16

Thus speed in running is 10 mph and speed in biking is 16 mph

A nutrition label states the item contains 16% of the daily recommended carbohydrates. Rewrite this percent as a fraction in the simplest form.

Answers

Answer: 4/25

Step-by-step explanation:

16% = 16/100 both can be divided by 4 so 16/4= 4, and 100/4=25. So 16%=4/25

Answer:

4 / 25

Step-by-step explanation:

The question is simplying request you simplify 16/100 to it's lowest form.

From the question,

The Carbohydrates recommended contents = 16/100

To Simplify this to the lowest form, we die de through by 4.

= (16/4) / (100/4)

= 4 / 25

NEED HELP PLEASE!!!!

Answers

Answer:

The answer is 2.414213562

Step-by-step explanation:

The answer is shown in the image attached.

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Spot market transactions involve securities that have maturities of less than one year whereas futures markets transactions involve securities with maturities greater than one year.b. Capital market transactions involve only preferred stock or common stock.c. If General Electric were to issue new stock this year, this would be considered a secondary market transaction since the company already has stock outstanding.d. Both NASDAQ dealers and "specialists" on the NYSE hold inventories of stocks.e. Money market transactions do not involve securities denominated in currencies other than the U.S. dollar. Match the following:________ 1. chloroplast genes are made of this substance 2. DNA body that releases energy from foods 3. nucleus food-making body 4. mitochondria cell headquarters 5. cell wall layers of cellulose outside the cell How did Jean Toomer's Cane set the tone for the Harlem Renaissance?A. Cane was a jazz song that represented the joys and hopes of African Americans.B. The stories, poems, and sketches in Cane served as a plea to remember and preserve the past.C. Cane was a series of biographies of political figures in the black nationalist movement.D. The stories, poems, and sketches in Cane showed the way African Americans should move forward. Which inequality is represented by the graph?A. y53x3B. y53x3D. y A parallel-plate capacitor is made from two aluminum-foil sheets, each 3.70 cm wide and 12.0 m long. Between the sheets is a mica strip of the same width and length that is 0.0225 mm thick.What is the maximum charge that can be stored in this capacitor? (The dielectric constant of mica is 5.4, and its dielectric strength is 1.00 \times 10^8 \;{\rm{V}}/{{\rm{m}}})Qmax= ??mC Estimates suggest that if the wars of the 20th century had killed the same proportion of the total population as ancient tribal wars did, then the death toll from those conflicts would have exceeded ________ people. Which number sentence is true? BRAINLIEST GETS 15 POINTS !!!A.39.6 4.8 = 8.25 B.39.6 (4.8) = 8.25 C.39.6 4.8 = 8.25 D.39.6 (4.8) = 8.25 A motor produces a torque of 22 Nm. It is used to accelerate a wheel of radius 10cm and moment of inertia 2 kg.m2 which is initially at rest. Calculatea)the number of revolutions made by the wheel in the first 5sb)the angular velocity after 5sc)the acceleration of a point on the rim of the wheel after 5s A two-inch-long grasshopper can jump a horizontal distance of 40 inches. An athlete, who is fi ve feet nine, wants to cover a distance of one mile by jumping. If this person could jump at the same ratio of body-length to jump-length as the grasshopper, determine, to the nearest jump, how many jumps it would take this athlete to jump one mile? The results of Dr. Zimmerman's study on parenting styles were controversial, so other researchers were eager to replicate the study to see if they would obtain the same results. What information about Dr. Zimmerman's study would these researchers typically need to replicate it? To be considered part of the same population organisms must have a reasonable chance of mating with each other. Are two wild roses separated by a wide road part of the same population? the extent to which a firm engages in the various value chain activities, from initial activities all the way to after-sales activities, is calleda. a joint venture partnershipb. product outsourcingc. vertical scoped. horizontal scopee. vertical integration Steam Workshop Downloader