A new, trendy department store is experiencing exponential growth across America. The chain began in 2004 when it opened 16 stores in Texas. Since then, it has grown by 35% in new store openings each year. Create an exponential function below to show the number of stores each year, x, since 2004.

Answers

Answer 1

The equation is y=16(1.35)ˣ.

This equation is of the form y=a(1+r)ˣ, where a is the initial amount, r is the rate of growth expressed as a decimal number, y is the total, and x is the amount of time. For our problem, a is 16; b is 0.35 (35%=35/100=0.35). This gives us the equation above.

Related Questions

Plz show work and explain
Haley and Madison are arguing over a math problem. Haley insists that a square with a area of 196 square units is bigger than Madison’s square that has a perimeter of 196 units. Who is correct and why?

Answers

Perimeter of a square is:

4 * s

where s is the side length.

Area is:

s * s

So, we can set both of these values to 196.

4s = 196
s = 49

s * s = 196
s = 14

So, Madison is correct.

Hope this helped!

Find M angle P
The diagram is not a scale

Answers

Angle P is equal to 74. Do you need to know the working?

The answer would be angel M would be 74

What are the answers to problem one and to WILL GIVE BRAINLEST AND SHOW YOUR WORK

Answers

The answer is: $19.56

4 * $4.89= $19.56

What is the angle of this triangle

Answers

[tex]A_\Delta=\dfrac{1}{2}\sin65^o\cdot8\cdot12=48\sin65^o\\\\\sin65^o=0.9063\\\\P_\Delta=48\cdot0.9063=43.5024\approx43.5\ cm^2[/tex]

[tex]\text{Given that the formula for Area is } \dfrac{1}{2} \text{ab} \sin(\text{c})[/tex]

[tex]\text{Area = } \dfrac{1}{2} \text{(12)(8)} \sin(\text{65}\textdegree)[/tex]

[tex]\text{Area = }43.5 \text{ cm}^2[/tex]

Can someone HELP ME DO THIS??

Answers

the 20% of $43.00 is 8.60 which means

43.00+8.60 = 51.60

Meal= $43.00
Tip= 20%

Total= Meal + (Meal * 20%)

= $43 + ($43 * 20%)
convert % to decimal (20% ÷ 100 or simply move decimal 2 places left)

= 43 + (43 * 0.20)
multiply inside parentheses

= 43 + 8.60

= $51.60 total

ANSWER: The total, including a 20% tip, is $51.60.

Hope this helps! :)

Yo I just need to get this right so help me out

Answers

Answer:

1) yes--first term is -48, common ratio is -2

2) no--no common ratio

3) yes--first term is 3, common ratio is 3

4) yes--first term is 5, common ratio is 2

5) no--arithmetic sequence

6) no--arithmetic sequence

a traffic light on a busy north-south street is programmed according to this pattern: green for 4 minutes followed by red for 2 minutes. mr gomez goes through this intersection on his way to an from work everyday. last week, he kept a record of the number of times it was green as he approached the intersection and the number of times he had to stop because the light was res. his record is as follows green green red green green green green green green green, what is the therorerical probability that the light will be green each time mr gonez approaches the intersection

Answers

It would be 2/3.

The theoretical probability is the expected amount of times that the light would be green. The light is green for 4 minutes and red for 2 minutes for each series. That means 4 out of the total 6 minutes are green.

4/6 = 2/3

What must you do if you multiply one number in a ratio by n?

Answers

Hi there!

From what I know, when you multiply one number in a ratio, you must also multiply the other number by the same number. This allows for the ratio to stay the same, thus keeping it correct. If both terms were not multiplied by n, the ratio would no longer be the correct ratio.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

What is the area of the shaded region to the nearest tenth of a foot?

Part a) Explain what formulas you will use to find the area of the shaded area.

Par b) Explain how you find the area of the shaded region. What was your thought process?

Answers

a) The shaded region is that portion of the rectangle that is not in the circle. You need the formulas for the area of a rectangle and a circle.
Area of rectangle = length*width
Area of circle = (π/4)*diameter²

b) The figure shows the width of the rectangle is 14 ft, the same as the diameter of the circle. The length of the rectangle is shows as 21 ft. The shaded area is the difference ...
Shaded Area = Area of rectangle - Area of circle
Shaded Area = (21 ft)*(14 ft) - (π/4)*(14 ft)²
Evaluating this expression, we have
Shaded Area ≈ 294 ft² - 153.9 ft² = 140.1 ft²

Solve for x
X3=1/27
Solve in fraction simplest form

Answers

x³ = 1/27
x=³√1*1*1/3*3*3
x= 1/3

Factor using difference of cubes and set each factor equal to 0.

[tex]x= [/tex] [tex] \frac{1}{3} [/tex], [tex]- \frac{1-i \sqrt{3} }{6} [/tex], [tex]- \frac{ 1+i \sqrt{3} }{6} [/tex]

Hope i was of some help ^.^

Which of the following graphs shows the solution of the inequality
x+1<5
?
A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

[tex]x + 1 < 5 \\ x < 4[/tex]

Answer is C. Graph C

Hope this helps. - M

Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly travel in 24 hours if it continues to fly at the same speed? (look at the image below)

The dependent variable is distance, the equation is x = 20y, and the dragonfly will travel 360 miles.
The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.
The dependent variable is time, the equation is x = 20y, and the dragonfly will travel 360 miles.
The dependent variable is time, the equation is y = 20x, and the dragonfly will travel 480 miles.

Answers

40/2 = 20
so
y = 20x

y = distance (miles) and x = time (hours)
so if x = 24 then y = 20x = 20(24) = 480

answer
The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.

Answer:

The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.

Step-by-step explanation:

According to the graph, the dependent variable is Distance in miles, because it's on the vertical axis. Additionally, the independent variable is time in hours, because it's on the horizontal axis. However, you always put time as independent, because nothing affects time.

To find the equation, we just need to find the slope, using two points (0,0) and (2,40).

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{40-0}{2-0}=20[/tex]

Therefore, the equation is [tex]y=20x[/tex], which shows a direct proportion between variables.

Now, in 24 hours, it would travel

[tex]y=20(24)=480[/tex]

It would travel 480 miles.

Therefore, the right answer is the second choice.

It takes a ship 3 hours to cover 72 km with the current and 4 hours against the current. Find the speed of the ship in still water and the speed of the current.

Answers

x- speed of the ship in still water
a- speed of current
(x+a)- speed with current
(x-a) - speed against current

(x+a)*3=72
(x-a)*4=72

x+a=24
+ x-a=18
2x =42
x = 21

x+a=24, 21+a=24, a=3

The speed of the ship in still water = 21 km/h,
the speed of the current =3 km/h.

Answer:

ship = 21 km/h,

current =3 km/h.

Step-by-step explanation:

A rectangular bathtub is 5 1/2 feet long, 1 1/2feet wide, and 3 feet high. Daniel fills the tub to a depth of 2feet.What is the volume of the water in the tub?

Answers

To find the volume of the water that is in the tub, you will multiply the length by the wet by the height/depth of the water.

V = lwh
5 1/2 x 1 1/2 x 2
V = 16 1/2 ft.³

A hose fills a hot tub at a rate of 3.45 gallons per minute. How many hours will it take to fill a 280 -gallon hot tub?

Answers

For this case we must use the following definition:
Q = V / t
Where,
Q: flow
V: volume
t: time
Clearing the time we have:
t = V / Q
Substituting the values:
t = (280) / (3.45)
t = 81.16 minutes
In hours we have:
t = (81.16) * (1/60)
t = 1.35 hours
Answer:
it will take to fill to 280 -gallon hot tub about:
t = 1.35 hours

It will take approximately 1.35 hours to fill the 280-gallon hot tub.

We have,

A hose fills a hot tub at a rate of 3.45 gallons per minute.

This can be written as an expression:

3.45 gallons = 1 minute

Now,

Multiply 280/3.45 on both sides.

280/3.45 x 3.45 gallons = 280/3.45 minutes

280 gallons = 81.16 minutes

Now,

81.16 minutes can be converted into hours.

Divide 81.16 by 60.

So,

81.16/60 = 1.35 hours

Therefore,

It will take approximately 1.35 hours to fill the 280-gallon hot tub.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many of each animal are there?

Answers

8 pigs 4 ducks
8x4=32
2x2=4
32+4=36

there are 8 pigs and 2 ducks. 2 ducks equal 4 legs, and 8 pigs equal 32 legs. Then, you do simple math, so 32 plus 4 is 36 legs!

English has 6 letters that can be vowels. This includes Y, which can be either a consonant or a vowel; for this problem, we'll consider Y a vowel. The other 20 English letters are always consonants. How many two-letter "words" can we make from these letters if we are required to use at least one vowel? (We aren't limited to words that have an actual meaning in English. Thus, for this problem, we'll include nonsense "words" like QO, XY, and UZ.)

Answers

I think this should be posted in English instead of Math... but you can make lots of words.

as
my
he
we
me
by
hi
so
go
to

These are just a few.

Food express is running a special promotion in which customers can win a free gallon of milk with their food purchase if there is a star on the receipt so far 147 of the first 156 customers have not received a star in the receipts what is experimental probability of winning a free gallon of milk

Answers

Formula
P(nw) = no wins / total
no wins = 147
Total = 156

Calculation for no wins
P(nw) = 147 / 156 = 0.9423

Calculation for winners.
P(w) = 1 - 0.9423
P(w) = 0.05769

Another way.
You could calculate the winners from the total
156 - 147 = 9

P(w) = 9/156 = 0.05769 Same answer as before. Pick the method you like best.

Sandra has four color cards: one blue, one red, one green, and one yellow. If she puts them in a box, in how many different orders could she draw them out?
A. 16
B. 24
C. 32
D. 64

Answers

A. 16 i don't know tho..

Please help me!!!!!

Question: Kara and Steven are biking around a 1,800 kilometer path. They start biking from the same place, at the same time, and in the same direction. Kara bikes at a speed of 15 km/h and Steven bikes at a speed of 30 km/h. How long will it take before Steven and Kara will be at the same place of the path next time?

Answers

Answer: 120 hours

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

Explanation:

The path is 1800 km. Kara's speed is 15 km/h. If this speed is held the same throughout the path, then it will take her d/r = 1800/15 = 120 hours to travel the entire path until she gets back to her starting point.

For Steven, it takes him d/r = 1800/30 = 60 hours to make the same journey.

The LCM of 60 and 120 is 120

Every 120 hours, both Kara and Steven will be back at the starting point together.

Note: this is a very very large time value, and this is not considering the fact that the bikers slow down or stop to take a break.

How is the expression (5 + y) ⋅8 described by its factors and terms?

It has two factors and the factor (5 + y) has one term.
It has three factors and the factor (5 + y) has one term.
It has three factors and the factor (5 + y) has two terms.
It has two factors and the factor (5 + y) has two terms.

Answers

It has two factors and the factor (5+y) has two terms.

The factors are the two things that are multiplied together to make the expression. In this expression, (5+y) and 8 are multiplied, so these are the two factors.

The factor (5+y) has two terms, 5 and y.

stuck on question x/-4 -5=4

Answers

x/-4 -5=4
*-4 *-4 *-4
x+20=-16
x=-36

A research company produced a study to find out what percentage of people in the state of Mississippi would purchase a new product being developed. Out of the 24 participants polled, 12 stated that they would buy the new product. The research company concluded that about 50% of the residents of Mississippi would purchase the new product. Identify a problem with the study.

Answers

The sample size is too small. The company is trying to determine the percent of people in Mississippi that would purchase the product. To make a prediction for the entire state of Mississippi, they should survey more than just 24 people. A random survey should be created and given out across the state.

The conclusion is based on a small sample.

In a '20% off' sale, a coat was £220. Work out the original price.

Answers

80% of p = 220 (We know this as the sale price is 20% off, so there is still 80%)

0.8p = 220

p = 220/0.8 (This is because we are making p the subject of the formula)

p = 275 (If you are not allowed to use a calculator for this, then: 220/0.8 is the same as 2200/8 because we are just simply multiplying both the numerator and denominator by 10. This can be simply worked out by long division)

80% is equal to 220

1) Set up a proportion:
80/100=220/x

2) Simplify:
4/5=220/x

3) Solve by cross-multiplying:
4x=1100
x=275

Original Price: 275

79+b=159
b=
send help pls... :)

Answers

Subtract 79 from both sides to isolate variable b.

b = 159 - 79
b = 80

B=80 simple as that

What is the measure of X

Answers

Answer:

we can know the answer by using phorem therom so

Step-by-step explanation:

all are 90 degree so x angle will also be 90 degree

now h^2 =p^2+b^2 so

Write an equation for a line g(x) perpendicular to f(x) = 4x − 5 and passing through the point (4, 20). plz.....

Answers

The slopes of perpendicular lines are negative reciprocals.The slope of the given line is 4.The slope of the perpendicular is -1/4.
Now we need to find the equation of a line that has slope -1/4 and passes through the point (4, 20).
We use the point-slope form of the equation of a line, where m = slope, and the point is (x1, y1).
y - y1 = m(x - x1)
y - 20 = -1/4(x - 4)
-4y + 80 = x - 4
x + 4y = 84

Final answer:

The equation for the perpendicular line g(x) is g(x) = (-1/4)x + 21, found by using the negative reciprocal of the original slope and the point-slope form of a line.

Explanation:

To find the equation for a line g(x) that is perpendicular to f(x) = 4x - 5 and passes through the point (4, 20), we need to determine the slope of the perpendicular line and then use the point to find the specific equation.

Since the slope of the line represented by f(x) is 4, the slope of any line perpendicular to it will be the negative reciprocal, which is -1/4.

Now, we can use the point-slope form of a line equation, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point the line passes through.

Substituting the given point and the slope into the point-slope form, we get:

y - 20 = (-1/4)(x - 4)

Expanding this we have:

y - 20 = (-1/4)x + 1

Adding 20 to both sides to solve for y gives us the final equation of line g(x):

g(x) = (-1/4)x + 21

2. Savannah recorded the average rainfall amount, in inches, for two cities over the course of 6 months. Put the numbers in order from least to greatest. Show your work! City A: {4, 3.5, 5, 5.5, 4, 2} City B: {5, 6, 3.5, 5.5, 4, 6} (a) What is the mean monthly rainfall amount for each city? (b) What is the mean absolute deviation (MAD) for each city? Round to the nearest tenth. (c) What is the median for each city? Answer: a) Mean of City A: 24 Mean of City B: 30 b) Find the MAD for each city. City A Absolute Deviation MAD for City A City B Absolute Deviation MAD for City B 4 5 3.5 6 5 3.5 5.5 5.5 4 4 2 6 c) Median of City A: 4 Median of City B: 5.25

Answers

City A: {2, 3.5, 4, 4, 5, 5.5}
City B: {3.5, 4, 5, 5.5, 6, 6}

Mean is the average.
Average of City A = 4 (2+3.5+4+4+5+5.5 = 24 and 24/6 = 4)
Average of City B = 5 (3.5+4+5+5.5+6+6 = 30 and 30/6 = 5)

Mean Absolute Deviation
Mean Absolute Deviation of City A = 0.8
Mean Absolute Deviation of City B = 0.8

Median is the middle (after putting it in order least to greatest)
Median of City A = 4
Median of City B = 5.25 (5+5.5 = 10.5 and 10.5/2 =5.25)

What is the volume of a 8 by 4.5 by 3.5 prism

Answers

Always for prisms like a rectangle you multiply all sides so 8 times 4.5 times 3.5 = 126, for a triangular prism your have to divide by 2 .

Hope this was helpful

126squared becuawse you multiply the length,width,&height

What is the solution of the system? y = -8x - 2 and y = -6x + 4

A. (-3, 22)
B. (-8/3, 1/22)
C. (-14/3, 6/22)
D. (3/14, - 6/14)

Answers

Plug the x and y coordinates into those equations and whichever one makes sense for BOTH of the equations is a solution

Equation 1: y = - 8x - 2

Equation 2: y = - 6x + 4

Equation both equations, we get:

- 8x - 2= - 6x + 4

-8x + 6x = 4 + 2

-2x = 6

x = -3

Using the value of x in first equation, we get:

y= -8(-3) - 2 = 24 - 2 = 22

So, the solution to the given equations is (-3, 22)

So, the answer is option A

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