In 2010, the population of a city was 191,000. From 2010 to 2015, the population grew by 3.9%. From 2015 to 2020, it fell by 3.3%. To the nearest 100 people, what was the population in 2020?

Answers

Answer 1

Answer:

The population by 2020 is 191,900

Step-by-step explanation:

Given that;

population 2010 (population in 2010): 191000

the population grew from 2010 to 2015: by 3.9%

so, population by 2015 = [tex]191000(1 + \frac{3.9}{100})[/tex]

                                      = [tex]191000(1 + 0.039)[/tex]

                                      = [tex]191000(1.039)[/tex]

                                      = [tex]198449[/tex]

the population drop from 2015 to 2020: 3.3%

so, population by 2015 = [tex]198449(1 - \frac{3.3}{100})[/tex]

                                      = [tex]198449(1 - 0.033)[/tex]

                                      = [tex]198449(0.967)[/tex]

                                      = [tex]191,900.183[/tex]


Related Questions

p(x)=2x^2+4x+2
please say the answer fast I have an activity​

Answers

Answer:

(-1,0)

Step-by-step explanation:

To find the x value of the vertex use the equation

-b/(2a)

-4/(2*2)= -1

this means that the x coordinate is -1

Now that we know the x value we need to find the corresponding y value

to do this we just plug in x into the equation

2(-1)²+4(-1)+2

2-4+2=0

put it all together and get (-1,0)

2n+4=22
gimme the answer

Answers

Answer: n=9

Step-by-step explanation:

I'm assuming you want to solve for n, as that's the only possible question I can think of.

To solve for n, we want to isolate n by using inverse operations.

2n+4=22            [subtract both sides by 4]

2n=18                 [divide both sides by 2]

n=9

Therefore, n=9 Is the answer.

An achievement exam was given to a population of 1,000 students. However, a sample of only seven of student scores is listed along with their respective z score and percentile rank in the following table. TEST SCORE 42 57 67 72 77 87 97 z score -1.50 -0.75 -0.25 0 0.25 0.75 1.25 percentile rank 10 25 30 45 50 75 95 Using the table information, the test score representing the 3rd decile is: a. 67 b. 77 c. 57 d. 72 e. 97

Answers

The test score representing the 3rd decile is 67. So the option a is correct.

In the given question, an achievement exam was given to a population of 1,000 students.

However, a sample of only seven of student scores is listed along with their respective z score and percentile rank in the following table.

TEST SCORE      42        57        67        72        77        87        97

z score              -1.50     -0.75    -0.25     0        0.25     0.75     1.25

percentile rank  10         25        30       45        50       75        95

Using the table information, we have to find the test score representing the 3rd decile.

As we know that the 3rd decile is equal to the 30th percentile.

So that the 3rd decile have the percentile rank = 30

The test score equivalent to percentile rank 30 is 67.

So, the test score representing the 3rd decile is 67. So the option a is correct.

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Claire buys a new car for £5700.
She pays a deposit of 12%
She then pays the rest of the cost in 15 equal monthly payments.
How much is each monthly payment

Answers

Answer:

$334.40

Step-by-step explanation:

Find how much she has left to pay after the deposit:

Multiply 5700 by 0.88

5700(0.88)

= 5016

Divide this by 15 to find how much each monthly payment is:

5016/15

= 334.4

So, each monthly payment is $334.40

SEVENTH GRADE ALGEBRA PLS HELP


A group of 5 friends each have x action figures in their collections. Each
friend buys 8 more action figures. Now the 5 friends have a total of 150
action figures.
Write an equation that can be used to find x, the number of action
figures per person.

Answers

Answer:

x = 22 (each friend started with 22 action figures)

Step-by-step explanation:

After buying 8 more action figures, each friend has x + 8 action figures. Because there are 5 friends, the new total number of action figures is 5(x + 8), which we are told is equal to 150. Dividing both sides of this equation by 5 yields x + 8 = 30, and subtracting 8 from both sides yields x = 22.

HELP IM BEGGING ON MY KNEES FOR SOMEONE WHO KNOWS WHAT TO DO CAUSE IVE GOTTEN IT WRONG AND IM ALLOWED TO RETAKE IT

Answers

Answer:

-3/5

Step-by-step explanation:

from 1st point to second, you go down 3, right 5

find the volume of a right circular cone that has a height of 13.4m and a base with a radius of 12.5m.round your answer to the nearest tenth of a cubic meter

Answers

Answer:2192.6

Step-by-step explanation:

ILL BRAINLIEST YOU PLEASE HELP ME

Answers

Answer:

C

Step-by-step explanation:

Hope this helpssss

Yan has already finished Three-fifths of the 45 math problems he was assigned today. Each math problem took him 1Four-fifths of a minute to complete. If this pace continues, how much more time, to the nearest minute, will the rest of the problems take him to finish?
18 minutes
27 minutes
32 minutes
43 minutes

Answers

Answer: 32

Step-by-step explanation:              90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

The time taken to complete the rest questions is 32 minutes

Since Yan has already finished Three-fifths of the 45 math problems he was assigned today. The number remaining will be:

= 45 - (3/5 × 45)

= 45 - 27

= 18

Now, the time taken to complete the rest questions will be:

= 18 × 1 4/5

= 18 × 1.80

= 32.4

= 32 minutes.

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which option is correct (multiple choice)

Answers

Answer:

SAS

Step-by-step explanation:

SAS

meaning SIDE ANGLE SIDE

What is the area of this parallelogram?

Answers

Answer: B

Step-by-step explanation:

Area = 4 x 5

         = 20 cm^2

Remember that area of parallelogram is the base x perpendicular height. is The perpendicular height is not 6cm but 5cm. (right angle labelled on diagram)

Answer: 20 cm²

Step-by-step explanation:

area parallelogram = base x height

=> 4 x 5 = 20

PLEASE HELP!! Puzzle One
Determine the volume of the following cylinders with the given dimensions. To break
the code substitute your answers in for the correct letters. Make sure to follow the
order of operations! Round your answers to the hundredth place. Use 3.14 for an
approximation for pi.

Answers

The volume of the cylinders are 320.625 m³, 921.6 ft³,824 in³ and 35.6 in³

How to calculate volume?

Volume is the amount of space occupied by a three dimensional shape or object.

Volume of cylinder = π * radius² * height

a) Volume of cylinder = π * (15/2)² * 5.7 = 320.625 m³

b) Volume of cylinder = π * (8)² * 14.4 = 921.6 ft³

c) Volume of cylinder = π * (6)² * 24 = 824 in³

d) Volume of cylinder = π * (2)² * 8.9 = 35.6 in³

The volume of the cylinders are 320.625 m³, 921.6 ft³,824 in³ and 35.6 in³

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a company spent 762500 to make a movie that will be shown in theaters for 8 weeks. If the movie makes 1250000 in its first week how much money does the movie need to earn in the next 7 weeks to make profit of atleast 2,000,000

Answers

The movie need to earn $ 1,512,500 in the next 7 weeks.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit,

followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A company spent 762500 to make a movie.

The total movie will be earned

= 762500 + 2000000

= 2,762,500

First week the movie earned 1, 250,000.

So, in 7 weeks the movie needs to earned

= 2,762,500 - 1, 250,000

= 1,512,500

Hence, the movie earn 1,512,500 more.

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An object is moving at a speed of 11 yards every 6 months. Express this speed in centimeters per hour.

Answers

Speed of the given object in centimeters per hour

= 0.23 cm / hour

What is unit conversion?

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.

Like 1 yard = 91.44 cm

1 month = 730 hrs.

Distance covered by the object = 11 yards

Distance covered in cm = 11 × 91.44 = 1005.84 cm

Time taken to cover 11 yards = 6 months

Time taken in hours = 6 × 730 = 4380 hrs.

Speed of the object = distance covered by the object / Time taken

Speed of the object = 1005.84/4380 = 0.2296 ≈ 0.23 cm per hour

Hence,  in centimeters per hour,

the speed of the object is 0.23 cm / hour.

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can someone help me ​

Answers

Answer:

y=-1/4x+2

Step-by-step explanation:

Answer:

Step-by-step explanation:

add all the # and see what you get

can someone pls help me with all of these questions

Answers

Answer:

68, 97, 81, 96, 84.2

Step-by-step explanation:

16. The minimum of the data is the smallest value. Take the smallest stem value and find its smallest leaf value, you'll get 68.

17. Take the largest stem value and find its largest leaf value. That's 97.

18. Counting the number of values, there are 10 values here. So you need to look at the mean of the 5th and 6th values. (80 + 82) ÷ 2 = 81

19. Mode: the most frequently occurring value. All values in this dataset are unique except for the two 96s in the last row, hence 96 is the mode.

20. Add all values and divide your result by the number of values.

(68+75+77+79+80+82+92+96+96+97) ÷ 10 = 84.2

Hence 84.2 is your mean.

Solve the answer please

Answers

Answer:

A

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

140° is an exterior angle of the triangle , then

∠ B + 90° = 140° ( subtract 90° from both sides )

∠ B = 50°

∠ ACB and ∠ DCB are a linear pair and sum to 180° , that is

∠ ACB + 140° = 180° ( subtract 140° from both sides )

∠ ACB = 40°

Which expression is equivalent to
4x + ?
o 1(-x+2)
o 1(-2+ 3)
-1(-x+ )
- (x + 2)

Answers

Answer:

Definitely Option A.

When you expand the bracket of Option A... You have your equation

Which is

-1/4x + 1/2.

PLEASE HELP I will give brainiest Which equation best shows the relationship between x and y? (1 point)
O a
Ob
Oc
Od
y = x + 50
y = 6x + 50
y = 6x + 56
y=x+56

Answers

On solving the provided question, we can say that the equation of the expression is given by y = 6x + 50

What is an equation ?

Equations with graphs as the unknowns are known as graph equations. The concept of isomorphism is one of the key issues in graph theory. When are two graphs identical, we inquire? Different graph equations may be used to express the aforementioned graphs.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is utilized. A lot of specialists, such as air traffic controllers, architects, computer programmers, and carpenters, employ equations on a daily basis.

From the table we can see that if the equation be

y = mx + c

for x = 0 y = 50

c = 50

again from x = 1 and y = 56

m = 6

So the equation of the expression is given by y = 6x + 50

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7O POINTS HELP ASAP!!!
Given the graph of this function, determine the statement that best describes the end behavior.

Answers

x->∞,y->∞ and as x-> - ∞ , y-> - ∞ this statement  best describes the end behavior.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

First, we need to analyze the plotting of the graph. When it is on the negative axis of x, as the values of x increase (x values increasing in the negative axis means it's decreasing in value), the y values also increase. So as x decreases, y increases.

On the positive axis of x, as the x values increase, the corresponding values of y also increase with x. So as x increases, y values also increase with it.

Hence, x->∞,y->∞ and as x-> - ∞ , y-> - ∞ this  statement  best describes the end behavior.

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what is the value of z? (multiple choice)

Answers

the answer would be 5.6

Can anyone help please

Answers

The graph of the following equation will be a Parabola. The y=1 will be the line of symmetry.

Which four types of parabolas are there?

Three different parabolas exist. Vertex form, standard form, and intercept form are the three forms. You can access a unique key feature for the graph on each form.

What distinguishes a hyperbola from a parabola?

A set of points in a plane that are equally spaced apart from a directrix or focus are known as parabolas. The difference in distances between a group of points that are situated in a plane and two fixed points—which is a positive constant—is what is referred to as the hyperbola.

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If h(x) = f(x) - g(x) = 2x, at what x-value will f(x) = g(x) + 20?
a) x = 20
b) x = 10
c) x = 5
d) x = 2

Answers

Answer:

B

Step-by-step explanation:

This is a neat question

f(x) - g(x) = 2x           Add g(x) to both sides

f(x) = g(x) + 2x

Now you need the right hand side to have 20 added to g(x).

2x must = 20

2x = 20                    Divide by 2

x = 20/2

x = 10

So the answer must be x = 10

1. To find members for her skate team, Heather prints flyers to display around town. She posts 6 flyers
at her school and f flyers at each of the 3 nearest skate parks. Write two different expressions that
represent the total number of flyers posted.
Find the total number of flyers posted if f= 5.

Answers

Recently, the Town of Aberdeen announced they were going to acquire a large parcel of land for a new park initiative.

What is piecewise function?To fully understand what piecewise functions are and how we can construct our own piecewise-defined functions, let’s first dive into a deeper understanding of how it works.A piecewise function is a function that is defined by different formulas or functions for each given interval. It’s also in the name: piece. The function is defined by pieces of functions for each part of the domain.In mathematics, a piecewise-defined function is a function defined by multiple sub-functions, where each sub-function applies to a different interval in the domain. Piecewise definition is actually a way of expressing the function, rather than a characteristic of the function itself.

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Please help asap!!!

Answers

Rotation of PQRS by 90 degree.

What does a math transformation mean?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's final shape and location. What are the four mathematical transformations?

In how many ways Transformations can be divided?

Translation, rotation, reflection, and enlargement. You must be able to carry out each transformation and recognize which ones have already been done.

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a) Complete the prime factor trees for 24 and 40:
24
2
2
6
2
40
2
2
3
b) What is the Lowest Common Multiple of 24 and 40?
2
2
1
5
Submit Answer

Answers

Answer:

a)

24 = 2³ × 3

40 = 2³ × 5

b)

LCM = 120

Step-by-step explanation:

a)

                 24                                      40

              /       \                                  /      \

            2         12                           2         20

                      /     \                                   /      \

                    2       6                               2      10

                           /     \                                     /    \

                        2         3                               2       5

24 = 2³ × 3

40 = 2³ × 5

b)

LCM = 2³ × 3 × 5

LCM = 120

1/6 over 1/4 x 10= x

Answers

Answer: 5/12 (five over twelve)

Step-by-step explanation:

1. COMBINE LIKE TERMS

1/6

-----   * 10 = x

1/4

5/12 = x

x = 5/12

In a survey of 170 girls, it was found that 18 girls
can neither dance nor can sing, 96 can dance and
69 can sing. By representing these information in
a Venn-diagram, find the number of girls who
both dance and sing.
Ans: 13

Answers

Answer:9

Step-by-step explanation:beacuse if you take 6 by 9 and 10 it will make 2 of 69

Which expression can be written as
[tex]k \sqrt{3} [/tex]where k is an integer?

a.
[tex] \sqrt{63} [/tex]

b.
[tex] \sqrt{108} [/tex]

c.
[tex] \sqrt{144} [/tex]

d.
[tex] \sqrt{150} [/tex]

Answers

Answer:

B. [tex] \sqrt{108} [/tex]

Step-by-step explanation:

The simplified forms of these roots are :

A. [tex] \sqrt{63} [/tex] = [tex]3 \sqrt{7} [/tex]

B. [tex] \sqrt{108} [/tex] = [tex]6 \sqrt{3} [/tex]

C. [tex] \sqrt{144} [/tex] = [tex]3 \sqrt{286} [/tex]

D. [tex] \sqrt{150} [/tex] = [tex]5 \sqrt{6} [/tex]

Check:

[tex] \sqrt{108} [/tex]

[tex] \sqrt{36(3)} [/tex]

[tex] \sqrt{ {6}^{2} \times 3} [/tex]

[tex]6 \sqrt{3} [/tex]

Hope it is helpful...

Can someone please help me out :))

Answers

Answer:

sin(T)

cos(C)

Step-by-step explanation:

sine goes up or down for angles in the circle.

cosine goes left or right for angles in the circle.

consider a circle with is center at T, and it goes through C (so, the radius is 25 = TC).

then 7 = sin(T)×25

24 = cos(T)×25

so, sin(T) = 7/25

then, sin(T) = cos(90-T)

and the angle at C = 90-T.

therefore, cos(C)=sin(T)=7/25

tan(x) = sin(x)/cos(x)

and that would lead here always to a 7/24 or 24/7 ratio.

so, no tan function is right.

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