Plsssss helppppppp
Suppose the food company decides it would like to grow from the 5 stores it has now so
that it will have at least 600 stores, but no more than 800 stores 5 years from now.
1. Come up with a plan for the company to achieve this where it adds the same number
of stores each year.
2. Come up with a plan for the company to achieve this where the number of stores
multiplies by the same factor each year. (Note that you might need to round the
outcome to the nearest whole store.)

Answers

Answer 1

Answer: Plan to add the same number of stores each year:

Let x be the number of stores the company adds each year. To reach at least 600 stores and no more than 800 stores in 5 years, we need:

5x + 5(5) = 600 (minimum number of stores)

5x + 5(5) = 800 (maximum number of stores)

Solving these equations, we get:

x = 119.4

So, the company can add 119 stores each year for 5 years to reach at least 600 stores and no more than 800 stores.

Plan to multiply the number of stores by the same factor each year:

Let r be the factor by which the number of stores increases each year. To reach at least 600 stores and no more than 800 stores in 5 years, we need:

5(5) r^5 = 600 (minimum number of stores)

5(5) r^5 = 800 (maximum number of stores)

Solving these equations, we get:

r ≈ 1.63

So, the company can multiply the number of stores by about 1.63 each year for 5 years to reach at least 600 stores and no more than 800 stores (rounded to the nearest whole store). For example, starting with 5 stores, the company can have approximately 8, 13, 21, 34, and 55 stores after 1, 2, 3, 4, and 5 years, respectively.

Step-by-step explanation:


Related Questions

please
\(2x {}^{2} + 2y {}^{2} - 6y - 12y = 3 \)
I need help​

Answers

Here you go, hope this helps
please [tex]2x {}^{2} + 2y {}^{2} - 6y - 12y = 3 [/tex]I need help

You are comparing apples and oranges in a fruit bowl. Is the ratio 2:3 the same as the ratio 3:2? Explain

Answers

Answer:

no

Step-by-step explanation:

because 3;2 is more the 2;3 as you know if you do it as a fraction it would be 3 over 2 and 2 over 3 the 3 over 2 whould be a whole and the 2 over 3 would be 3 forths of a whole and the 3 over 2 would be more

In the slope - 6/11, the 11 indicates to

A. Rise 11 units
B. Fall 11 units
C. Run 11 units

Answers

Answer:

C. run 11 units

Step-by-step explanation:

because you run down -6 you rise 11

what's the inverse of f(x)=(x+3)^5

Answers

Answer:

The inverse is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x) = (x+3)^5

Finding the inverse,

\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)

We replace x with y and vice versa

so,

\(x = (y+3)^5\)

Solving for y,

the the 5th root,

\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)

hence the inverse function is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x)=(x+3)×5

Y=5X+15

now

interxchanging x and y we get,

x=5y+15

5y=x-15

y=x-15/5

therefor f~1(x)=x-15/5

Solve. Show each step.
5.4 - 6x = -6

Answers

The answer is x=1.9 , the steps are on the picture
Solve. Show each step.5.4 - 6x = -6

Answer:

x = 1.9

Step-by-step explanation:

5.4 - 6x = -6

Gotta isolate the x, so you would minus 5.4 from both sides:

5.4 - 5.4 - 6x = (-6) - 5.4

5.4 - 5.4 cancels out, and (-6) - 5.4 is -11.4 What's left is:

- 6x = -11.4

Gotta isolate the x, so divide -6 to both sides.  It negative because the sign in front of it is a subtraction sign, it would be positive if there is a addition sign:

- 6x/(-6) = (-11.4)/(-6)

-6 divide by -6 cancels out, and -11.4 divided by -6 is 1.9. A negative divided by a negative is a positive.  Result, x is now isolated:

x = 1.9

Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36

Answers

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Write an expression in terms of x that represents the distance between ( 4 , 8 ) and ( x , 8 ) for x > 4 .

Answers

The distance between two points is the number of units between them

The expression that represents the distance between the points is x - 4

How to determine the expression

The points are given as: (4,8) and (x,8)

The distance (d) between points is calculated using:

\(d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}\)

So, we have:

\(d = \sqrt{(x - 4)^2 + (8 -8)^2}\)

Evaluate the difference

\(d = \sqrt{(x - 4)^2 + 0^2}\)

Evaluate the exponent

\(d = \sqrt{(x - 4)^2 + 0}\)

Evaluate the sum

\(d = \sqrt{(x - 4)^2}\)

Evaluate the exponent

\(d = x - 4\)

Hence, the expression that represents the distance between the points is x - 4

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Find the magnitude and direction of the vector using the given information. V=<6,7>

Find the magnitude and direction of the vector using the given information. V=&lt;6,7&gt;

Answers

Answer:

The magnitude of the vector is 9.165 and it's direction is 40.6°

Step-by-step explanation:

Vector Quantities:

A vector quantity is a quantity that has both size (magnitude) and direction. Examples of vector quantities are force, velocity and impulse.

Magnitude of vector v is given by

|v| = √6²+7²

= √36+49

= √84

= 9.165

Direction of vector v is obtained by:

\( \tan( \theta) = \frac{x}{y} \)

\(\theta = {tan}^{ - 1} ( \frac{6}{7}) \)

\(\theta = {40.6°}\)

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Rewrite each subtraction equation as an addition equation.
z - (-12) = 15

Answers

Answer:

...........

Step-by-step explanation:

::

z+12=15

1 point
The scale factor between Rectangle NMS and a similar rectangle is 3/2.
What are the dimensions of the new rectangle?
10
4
NMS
12 x 30
0 7 x 13
0 8x20
0 6x15

Answers

0 12x 30 is right .this is correct

24. There are 10 pupils in a class. Half of them are
girls. What is the probability of selecting a girl
from the class for a trip to the zoo?​

Answers

So 5 boys ,5 girls which means 5/10= 0.5

Find the prime factorization of each numbera. 663b. 442

Answers

Solution:

Prime factorization of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number.

Given:

Using a tree diagram;

\(\begin{gathered} 663=3\times221=3\times(13\times17) \\ 663=3\times13\times17 \end{gathered}\)

Hence, 663 = 3 x 13 x 17

Using a tree diagram;

\(\begin{gathered} 442=2\times221=2\times(13\times17) \\ 442=2\times13\times17 \end{gathered}\)

Hence, 442 = 2 x 13 x 17

Find the prime factorization of each numbera. 663b. 442
Find the prime factorization of each numbera. 663b. 442

One -tenth of books are picture books 2/10 are story books and half are science fiction and remainings are encyclopaedia what fraction are encyclopaedia

Answers

Answer:

1/5 of books are encyclopedia

Step-by-step explanation:

Remaining fraction:

1 - (1/10 + 2/10 + 5/10) = 1 - 8/10 = 2/10 =1/5

1/5 of books are encyclopedia

Answer:

Let the total fraction of books be 1, then;

\(1 - ( \frac{1}{10} + \frac{2}{10} + \frac{1}{2} ) \\ 1 - ( \frac{(1 + 2 + 5)}{10} ) \\ (1 - \frac{8}{10}) = \frac{(10 - 8)}{10} \\ \frac{2}{10} = \boxed{ \frac{1}{5} }\)

Therefore, 1/5th of the books are encyclopaedia.

Max had 1 litre of syrup. He used 1/5 litre of the syrup on Saturday and 5/6 of the remaining syrup on Sunday. How many litres of syrup did Max have left?​

Answers

Answer:

2/15 litre

Step-by-step explanation:

There is 1 litre in total. Max used 1/5 litre.

1 - 1/5 = 4/5 litre

Then he used 5/6 of the remaining 4/5 litre. He would have 1/6 of 4/5 litre left.

1/6 * 4/5 = 2/15 litre

or

You could do 5/6 * 4/5 to find out how much syrup he used on Sunday and then subtract that from 4/5 litre. It will give you the same answer

Suppose we want to choose 7 colors, without replacement, from 9 distinct colors
If the order of the choices does not matter, how many ways can this be done?

Answers

The number of ways to choose the colors is 36

How to determine the number of ways?

The given parameters are:

Colors = 9

Colors to choose = 7

Since order does not matter, then it is combination

This is calculated using:

\(^nC_r = \frac{n!}{(n - r)!r!}\)

This gives

\(^nC_r = \frac{9!}{7!2!}\)

Evaluate

\(^nC_r = 36\)

Hence, the number of ways is 36

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ANYONE THAT IS GOOD AT PRECAL! Inbox me ill CASHAPP YOU!!

Answers

Sorry I'm not that good but I can suggest you a person... Just go friends and search demilade25... It's the exact name demilade25.. He can help you very well

The jacket at the department store originally cost $199. It was selling so well that the store decided to increase the price by 25 percent. What was the new cost of the jacket?

Answers

Answer:

$248.75

Step-by-step explanation:

25% more of 199 is 248.75

Select the statement that indicates that the triangles in each pair are congruent.
50 points

Select the statement that indicates that the triangles in each pair are congruent.50 points

Answers

Answer:

D. ∆XVW ≅ ∆XBC

Step-by-step explanation:

Angle X = Angle X (vertical angles are congruent)

Angle V = angle B (corresponding angles are congruent)

Angle W = angle C (corresponding angles are congruent)

The three angels in ∆XVW are congruent to the three corresponding angles in ∆XBC.

Therefore, the statement that indicates both triangles are congruent is:

∆XVW ≅ ∆XBC

A college library has four copies of a certain book; the copies are numbered 1, 2, 3, and 4. Two of these are selected at random. The first selected book is placed on 2- hour reserve, and the second book can be checked out overnight. a. Construct a tree diagram to display the 12 outcomes in the sample space. b. Let A denote the event that at least one of the books selected is an even-numbered copy. What outcomes are in A? c. Suppose that copies 1 and 2 are first printings, whereas copies 3 and 4 are second printings. Let B denote the event that exactly one of the copies selected is a first printing. What outcomes are contained in B?

Answers

The event A is that at least one of the books selected is an even-numbered copy. The event B is that exactly one of the copies selected is a first printing.

A tree diagram to display the 12 outcomes in the sample space would look like this:

1st Selection | 2nd Selection

----------------------------

1 | 2

1 | 3

1 | 4

2 | 1

2 | 3

2 | 4

3 | 1

3 | 2

3 | 4

4 | 1

4 | 2

4 | 3

The event A is that at least one of the books selected is an even-numbered copy. This would include outcomes 1-2, 1-4, 2-1, 2-3, 2-4, 4-1, 4-2, and 4-3.

The event B is that exactly one of the copies selected is a first printing. This would include outcomes 1-3, 1-4, 3-1, 3-2, 3-4, 4-1, 4-2, and 4-3.  

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In a class of students, the following data
table summarizes how many students have a
cat or a dog. What is the probability that a
student chosen randomly from the class has
a cat?
Has a dog
Does not have a
dog
Has a cat
2
3
Does not have a
cat
12
10

Answers

The table can be summarized as follows:

|          | Has a dog | Does not have a dog |

|----------|-----------|---------------------|

| Has a cat     | 2         | 3                   |

| Does not have a cat | 12        | 10                  |

To find the probability that a student chosen randomly from the class has a cat, we need to find the total number of students who have a cat (regardless of whether or not they have a dog), and divide it by the total number of students in the class.

The number of students who have a cat is 2 (those who have a dog and a cat) + 3 (those who have a cat but do not have a dog) = 5.

The total number of students in the class is the sum of all four categories: 2 (has a cat and a dog) + 3 (has a cat, does not have a dog) + 12 (does not have a cat, has a dog) + 10 (does not have a cat, does not have a dog) = 27.

So, the probability that a student chosen randomly from the class has a cat is 5/27.

1. The population of San Francisco is 884,363 people. The population of Sacramento is 501,901 people. About how many people live in San Francisco? Sacramento? Round your answer to the nearest thousand.

Answers

The number of people who live in San Francisco to the nearest thousand is; 884,000.

The number of people who live in Sacramento to the nearest thousand is; 502,000.

What number of people live in San Francisco and Sacramento to the nearest thousand?

To round off a number to the nearest thousand, the hundreds place value digit is considered.

For San Francisco; since the hundred place digit is; 3; we have that; 884,363 ~~ 884,000.

For Sacramento; since the hundreds place digit is; 9; we have that; 501,901 ~~ 502,000.

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The diagonals of rectangle QRST intersect at P. Given that
m/PTS= 34° and
QS=10, find mSRT.

Answers

Note that since the diagonals of rectangle QRST intersect at P and m∠PTS = 34°, thus,  m∠SRT is 56°.

What are the properties of a rectangle?

A rectangle is a quadrilateral with four right angles in Euclidean plane geometry. Rectangles have the following fundamental properties: A rectangle is a quadrilateral.

The two opposite sides are parallel and equal.Each inside angle measures 90 degrees.The total of all internal angles is 360 degrees.The diagonals cut each other in half.The diagonals are both the same length.

With regard to the above problem:

Since ∠QRS = 90° (based on the qualities of a rectangle) ; and

∠QRT ≅ ∠RTS = 34° (based on the rule of alternate angles,

Thus, m∠SRT = 90° - 34°

∠SRT = 56°

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Full Question:
The diagonals of the rectangle QRST intersect at P. Given that

m∠PTS= 34° and QS=10, find m∠SRT.

See attached image.

The diagonals of rectangle QRST intersect at P. Given thatm/PTS= 34 andQS=10, find mSRT.

HELP! I WILL AMKE YOU BRAINLIEST BC THIS IS DUE TODAY!!!

HELP! I WILL AMKE YOU BRAINLIEST BC THIS IS DUE TODAY!!!

Answers

Answer: 27.3

Step-by-step explanation:

I took the outcomes of the Aces from the trial and found the average and the answer I got was 27.3%

Hope this helps.

yoooo i need help lmk the answers​

yoooo i need help lmk the answers

Answers

well the answer is 6 soo
The answer to your question is 6

In the 2012 Olympics a U.S. athlete Nathan Adrian finished the 100-meter freestyle swim in 47.52 seconds. If nathan swam the same pace in a regular 25-meter pool what would his time have been per lap?

Answers

At the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

To solve this problem

The idea of proportionality can be applied. The time it would take Nathan Adrian to complete one lap in a 25-meter pool is known to be 47.52 seconds for the 100-meter freestyle. Since the tempo is constant while the distance varies, we can establish a ratio:

100 meters / 47.52 seconds = 25 meters / x seconds

where x is the unknown time for one lap in the 25-meter pool.

To solve for x, we can cross-multiply:

100 meters * x seconds = 47.52 seconds * 25 meters

100x = 1188

Dividing both sides by 100, we get:

x = 11.88 seconds

Therefore, at the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

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S vi) The temperature in Gulmerg in Kashmir was-10°C in January and it rose by 44°c to reach the maximum temperature during summer. The maximum temperature during summer in that year was​

Answers

The maximum temperature during summer in that year was 34°C.

It's not possible for the maximum temperature in Gulmarg, Kashmir to rise by 44°C during the summer.

A temperature rise of that magnitude would be extremely unusual and potentially dangerous.

However, assuming that the question meant to ask about the difference between the minimum temperature in January and the maximum temperature in summer, we can proceed with the calculation.

The minimum temperature in January was -10°C, and if we add 44°C to it, we get:

-10°C + 44°C = 34°C

Therefore, the maximum temperature during summer in that year was 34°C.

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Yesterday a movie theater sold 280 bags of popcorn. A large bag of popcorn costs $4. A small bag of popcorn costs $1. In all, the movie theater made $610 from popcorn sales. Find how many bags of each size of popcorn were sold

Answers

Answer:

110 large bags and 170 small bags of popcorn were sold.

Step-by-step explanation:

Since yesterday a movie theater sold 280 bags of popcorn, and a large bag of popcorn costs $ 4 while a small bag of popcorn costs $ 1 and in all, the movie theater made $ 610 from popcorn sales, to find how many bags of each size of popcorn were sold, the following calculation must be performed:

280 x 4 + 0 x 1 = 1120

140 x 4 + 140 x 1 = 700

130 x 4 + 150 x 1 = 670

110 x 4 + 170 x 1 = 610

Therefore, 110 large bags and 170 small bags of popcorn were sold.

At the sixth-grade school dance, there are 132 boys, 89 girls, and 14 adults. Write the ratio of the number of boys to the number of girls. Type your answer either in the format: 3:4 with no spaces, OR in the format 3 to 4.

Answers

Answer:

the ratio will be 132 to 89

The ratio is 132 : 89.

What is ratio?

A comparison of two quantities by division is called a ratio and the equality of two ratios is called proportion. A ratio can be written in different forms like x : y or x/y and is commonly read as, x is to y.

Ratio is the comparison of two quantities which is obtained by dividing the first quantity by the other. If a and b are two quantities of the same kind and with the same units, such that b is not equal to 0, then the quotient a/b is called the ratio between a and b. Ratios are expressed using the symbol of the colon (:). This means that ratio a/b has no unit and it can be written as a : b

Given:

Boys= 132

girls= 89

adults= 14

So,

the ratio of number of boys to number of girls is

= 132/89

=132 : 89

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evaluate the expression 2x+3y-4w when x=2 y=3 w=4 p=1/2 and m=1.2
guys help i have a test tomorrow :')

Answers

The value of the expression is -3.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2x + 3y - 4w  _____(1)

Now,

Substitute x = 2, y = 3, and w = 4 in (1).

So,

2x + 3y - 4w

= 2 x 2 + 3 x 3 - 4 x 4

= 4 + 9 - 16

= 13 - 16

= -3

Thus,

The value is -3.

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Question content area top Part 1 Think About the Process Use the algebra tiles to help you solve the equation 2x - 4 = 10. What is the first step in solving the equation using algebra​ tiles? What is the solution to the​ equation?

Answers

The solution to the equation is x = 7.

What is the linear equation in one variable?

A linear equation in one variable is an equation of the form ax + b = 0, where a and b are constants and x is the variable. The general form of a linear equation in one variable is ax + b = 0, where a and b are constants and x is the variable. The graph of a linear equation in one variable is a straight line.

The first step in solving the equation 2x - 4 = 10 using algebra tiles would be to add 4 to both sides of the equation to get 2x = 14. The next step would be to divide both sides of the equation by 2 to get x = 7.

Hence, the solution to the equation is x = 7.

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