Sam owns a chain of fast food restaurants that operated 200 stores in 1999. If the rate of increase is 8% annually, how many stores does the restaurant operate in 2007?

Answers

Answer 1

Answer:

370 stores

Step-by-step explanation:

Given data

initial number of stores P= 200

r= 8%

t= 1999-2007=  8 years

Let us apply the compound interest expression to find the final amount of stores

A= P(1+r)^t

A= 200(1+0.08)^8

A= 200(1.08)^8

A= 200*1.85

A=370

Hence the number of stores in 2007 is 370 stores


Related Questions

A seabird is 28 meters above the surface of the ocean. What is its elevation?

Answers

Answer:

The elevation is 28 meters.

Step-by-step explanation:

This is pretty obvious because it says that the bird is above the ocean, not below. So, it is positive.

Hope this helps! :)

Kirk is getting a raise of 5% due to inflation. His normal salary is $56,000 per year. Which of the following calculations gives Kirk's new salary, in dollars? A. 56,000 +5 B. 56,000 + 56,000(0.05) C. 56,000 + 56,000(0.50) D. 56,000 + 56,000(5) E. 56,000(.05)

Answers

Answer:

The answer is B. 56,000 + 56,000(0.05) because 5% or expressed in decimals 0.05 multiplied by the quantity 56,000 gives us 5% of Kirk's normal salary and added to his normal salary will give us his new salary.

(His new salary is 58,800 and 5% of his normal salary is 2,800)

Susan Marciano invested part of her $27,000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $1,590.​

Answers

54,000 it you add up all the profits

What is an equation of the line that passes through the point (6,1) and is perpendicular to the line 2x+3y=18?

Answers

Answer

y = 3/2x -8

Step-by-step explanation:

The first thing you should do is change the equation into slope intercept form. Subtract 2x from both sides to get: 3y = -2x + 18. Divide all parts of the equation by 3 to get your equation in slope intercept: y = -2/3x + 6. One thing you should know when finding the slope of a perpendicular line is that it is the opposite reciprocal. So, the slope is going to be 3/2. This is your current equation: y = 3/2x + b. Plug in the point to the equation, it should look like this: 1 = 3/2(6) + b. Multiply 3/2 by 6 to get 9. This is what it should look like: 1 = 9 + b. Then, subtract 9 from both sides of the equation to get your y-intercept of -8. Go back to your other equation and plug in -8 for b. This is your final equation: y = 3/2x -8.

Which story shows 1/3 divided by 5?

Answers

I don’t know what you mean by “story” but 1/3 divided by 5 is 0.06

find a ⋅ b
a = 7i - 4j, b = 4i + 3j

Answers

Answer:

28i^2 + 5ij - 12j^2

Step-by-step explanation:

(7i-4j)(4i+3j)

7i times 4i is 28i^2

7i times 3j is 21ij

-4j times 4i is -16ij

-4j times 3j is -12j^2

In equation it looks like this:

28i^2+21ij-16ij-12j^2

Simplify 21ij and -16ij

21ij-16ij is 5ij

So the answer is:

28i^2 + 5ij - 12j^2

Hope this helps!

Answer:

The answer is 16

Step-by-step explanation:

Ten people put 63 boxes on a red truck and 38 boxes on a blue track About how many boxes did they load in all

Answers

Answer:

63+38=101

Step-by-step explanation:

The art club is designing a rectangular mural for the school hallway. Three
corners are located at (-1,-1),(-1, 1), and (4.1) on a coordinate plane. Find the
fourth vertex and graph the rectangle on the coordinate plane below.
Fourth vertex:

Answers

Answer:

The coordinates are (50, 103)

Step-by-step explanation:

The three hallways are AB, BC, CD.

The co-ordinate of D is (50, 75).

The school's flagpole is 28 meters right of the point D.

Hence the y-coordinate for the flagpole will be same as D, that is 75.

The x-coordinate will be (28 + 75) = 103.

The location of the school's flagpole will be represented by (50, 103)

The 4th vertex of the rectangle is given by D ( 4 , -1 ) and the graph is plotted

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as S

Let the rectangle be represented as ABCD

The coordinates of A = A ( -1 , -1 )

The coordinates of B + B ( -1 , 1 )

The coordinates of C = C ( 4 , 1 )

So , the length of the rectangle = 4 units

The width of the rectangle = 2 units

So , the area of the rectangle S = 4 x 2 = 8 units

And , the 4th vertex of rectangle D = D ( 4 , -1 )

Hence , the coordinate D of rectangle is D ( 4 , -1 )

To learn more about area of rectangle click :

https://brainly.com/question/15225905

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Convert the following to a percentage: $0.40 out of $2.50

Answers

Answer:

16%

Step-by-step explanation:

Solution for 0.40 is what percent of 2.50:

0.40:2.50*100 =

(0.40*100):2.50 =

40:2.50 = 16

Answer:

16%planation:

Will mark brainliest for whoever answers correctly

Answers

Step-by-step explanation:

r = 3 √ 3V / 4π

is the correct answer of this question .

Create an expression that is equivalent to 9(3x + 5 + x) without using
parentheses.

Answers

Answer:

27x + 45 + 9x

37x + 45

it's here

Find (3x+1)(x+4) using the table of products. Write your answer in standard form.

Answers

Step-by-step explanation:

just multiply both the values and get the quadratic solution.

The standard form of the (3x+1)(x+4) is 3x^2+13x+4=0.

We have given that,

(3x+1)(x+4) using the table of products.

We have to determine the standard form.

What is the formula of the standard form?

The quadratic function f(x) = a(x - h)2 + k, a not equal to zero, is said to be in standard form. If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h,k).

ax^2+bx+C=0

[tex]=3xx+3x\cdot \:4+1\cdot \:x+1\cdot \:4[/tex]

[tex]=3x^2+13x+4[/tex]

Therefore the standard form is 3x^2+13x+4=0.

To learn more about the standard form visit:

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Salesman Scott received $2,792.79 for selling a property. If the gross commission was 6.5 % of the sale price, the listing salesman received 12% of the gross commission and Scott received 45% of the balance, how much did the property sell for?

Answers

Answer: The property sold for $5,870.41.

Step-by-step explanation:

Let x be the selling price of the property.

Then, gross commission = 6.5% of x = 0.065x

listing salesman received = 12% of ( 0.065x)  = 0.12 (0.065x) = 0.0078 x

Balance = x - ( 0.065x) -  (0.0078 x)

= (1+0.065-0.0078)x

= 1.0572x

Scott received = 45% of (1.0572x)

=0.45 (1.0572x)

= 0.47574x

Now, [tex]0.47574x=2,792.79[/tex]

[tex]\Rightarrow\ x=\dfrac{2792.79}{0.47574}\\\\\Rightarrow\ x=5870.41[/tex]

Hence, the property sold for $5,870.41.

2x-y+8z=13
3x+4y+52=18
5x-2y-72=20​

Answers

Answer:

Answer is above (In the image).

Step-by-step explanation:

I am not sure if that is what you were looking for. To convert it to decimals, just input the figures into your calculator.

In my opinion the best way to solve these equations are elimination, therefore I will be giving my answer in this way!

2x-y+8z=13 1️⃣

3x+4y+52=182️⃣

5x-2y-72=203️⃣

We first combine liked terms in equation 2 and 3.

2️⃣turns into 3x+4y=-34 let's call it 2️⃣'

3️⃣turns into 5x-2y=92 let's call it 3️⃣'

Then solve for x

3️⃣'*2

10x-4y=184

3️⃣+2️⃣

13x=150

x=150/13

Now substitute the x back into equation 2️⃣'

3*150/13+4y=-34

450/13+4y=-442/13

4y=-892/13

2y=-446/13

y=-223/13

Now we can substitute this back into 1️⃣ to solve for z

2*150/13- - 223/13+8z=169/13

523/13+8z=169/13

8z=-354/13

4z=-177/13

z=-177/52

This problem is kind of messy so let me restate my answer!

x=150/13

y=-223/13

z=-177/52

I really hoped this is correct and it helped, and would appreciate it if you give me brainlliest! If you have any more questions about my solution please ask me in the comments!

The cereal box shown below is a rectangular prism. Find the surface area of the cereal box. ​

Answers

Answer:

580 cm^2

Step-by-step explanation:

First, find the area of the front and back. 20*10=200

There are 2 sides with 20*10 ( front and back) so we can multiply by 2. 200*2=400

Then, the sides. 3*20=60*2=120

Then, the top and bottom 10*3=30*2=60

400+120+60=580

Answer:

420

Step-by-step explanation:

60+60+30+30+120+120

hope this helped :)

Trapezoid ABCD has an area of 57. BC = 7 and AD = 12. What is the height of the trapezoid?

Answers

Answer:

Step-by-step explanation:

57x2/(12+7)=6

BCDE is a rhombus. Find the missing measures.

BC = 28 and BD = 32

CD =

FD =

EF =

EC =


Answers

Answer: CD=28

FD= 16

Step-by-step explanation:

The Value that you insert into a function is know as the?

Answers

Answer:

Step-by-step explanation:

Most commonly, that value would be the "independent variable."

We evaluate the function at that particular value of the independent variable.

X + 54 = 37 so X = ?

Answers

Answer:

x=-17

Step-by-step explanation:

x+54=37

-54. -54

x=-17

ANSWER:
-17

STEP BY STEP:
We know it is negative because 37 is less than 54.

But for how to do it is you subtract 54 from both sides. Then you just simplify.

Hope this helps. :)

Fill in the blanks to write the fraction 3/4 as in different ways

Answers

Answer:

1.3/4 × 2/2 = 6/8

2.3/4 × 3/3 = 9/12

3.3/4 × 4/4 = 12 /16

4. 3/4 × 5/5 = 15/20

.75, and 75% are two ways to say 3/4

Plz help me with this question

Answers

Answer:

C

Step-by-step explanation:

Remark

There are probably a couple of ways that you could do this. I'm going to pick the most obvious way.

Givens.

KN = 2.5

NO = 10

LM = 3

MP = x

Equation

NO/KN = PM / LM

Solution

10 / 2.5 = x / 3              Cross multiply

2.5x = 10 * 3                 Combine

2.5x = 30                      Divide by 2.5

x = 30/2.5

x = 12

That looks like it should be the answer, and it almost is, but you are asked for LP.

LP = LM + MP

LP = 3 + 12

LP = 15

The answer is 15

PLEASE HELP ME ON THIS ITS THE LAST ONE FOR THE DAY

Answers

Answer:

z=95

Step-by-step explanation:

z-28=67

 +28  +28

x=95

all you have to do is make both side of the eqaution balanced

if you add 28 to one side you do it to the other side as well

Z-28=67 add 28 twice the u get z=95

I don't know I need help.
Which of the following numbers can be expressed as repeating decimals?

3 over 7, 2 over 5, 3 over 4, 2 over 9

2 over 9 and 3 over 4
3 over 7 and 2 over 5
2 over 5 and 3 over 4
3 over 7 and 2 over 9

Answers

Answer:

2/9 = 0.2 repeating

3/7 = 0.428571 repeating

Step-by-step explanation:

in a 5th grade class, 9/10nof the students like going to the movies. Of those students 4/5 like popcorn. Of the students that like popcorn, 2/3 of them also like candy. what fraction of the students class like popcorn at the movies? What faction lf the students in class like popcorn and candy at the movies?

Answers

Answer:

48%

Step-by-step explanation:

9/10 of the students like going to the movies.

4/5 of 9/10 is 72/100 or 72%.

2/3 of 72 is 48.

So, 48% of the students like popcorn, candy, and going to the movies.

I NEED HELP ASAP PLEASE!!! I'LL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!!

Answers

Answer:

x = 3

y = 4

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

A farmer bought three seeds ,the probability that each of them germination is 3/4.If he plant all of them,find the probability that only one of them germinate

Answers

Answer:

[tex]\frac{9}{64}[/tex]

Step-by-step explanation:

Probability refers to chance of occurrence of any event.

Probability that each of them is germinates [tex]=\frac{3}{4}[/tex]

So,

Probability that each of them is germinates won't germinate [tex]=1-\frac{3}{4}=\frac{1}{4}[/tex]

Probability that only one of them will germinate = [tex]=\frac{3}{4}(\frac{1}{4})^2=\frac{9}{64}[/tex]

Avery is buying string and beads to make bracelets for her family and friends. She plans to divide the string into 9-inch pieces to make at least 27 bracelets. What is the minimum amount of string she needs to buy?

Answers

How big is each bracelet?

Answer:

243 inches

Step-by-step explanation:

27 bracelets at 9inches each

9x27=243 inches or 20 feet and 1/4 inches of string. Depending on how the string is sold (by the foot, by the inch, yard, etc) will determine her minimum quantity, if you want to get specific.

A circular mirror has a diameter of 16.5 inches. What is the circumference of the mirror? Round to the nearest hundredth

Answers

Answer:

C≈51.84in

Step-by-step explanation:

C=2πr

d=2r

Solving for C

C= πd= π·16.5≈51.83628in

A computer store bought a program at $10 and sold it at a selling price of $12 find the percent makup

Answers

Answer:

20%

Step-by-step explanation:

12-10=2

changed ÷ original x 100

2 ÷ 10 x 100

=20%

Write an equation that models the linear relationship in the graph below

Answers

Answer:

y=-4/7x+4

Step-by-step explanation:

hope this helps

Answer:

4/7+4=y

Step-by-step explanation:

y=mx+b

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