Mathematics High School

5. The population of Haleyville, Alabama was 4,403 in 2010. Haleyville has been experiencing a population decline of 0.6% per year since 2000. What will be the projected population of Haleyville in 2020?

Answers

Answer 1

The projected population of Haleyville in 2020 is 4139.

What is a function?

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Population in 2010 = 4403

The decline in population per year = 0.06%

Now,

The population in 2020.

There are 10 years between 2010 and 2020.

The function used to find the population after x years.

= 4403 x [tex]0.994^x[/tex]

Now,

x = 10

= 4403 x [tex]0.994^{10}[/tex]

= 4403 x 0.94

= 4139

Thus,

The population in 2020 is 4139.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

Related Questions

Christopher has set up a lemonade stand outside his house and sells small cups and large cups of lemonade. Each small cup holds 10 ounces of lemonade and each large cup hold 20 ounces of lemonade. Christopher used 800 ounces of lemonade and sold twice as many small cups as large cups. Graphically solve a system of equations in order to determine the number of small cups sold, x , x, and the number of large cups sold, y y.

Answers

Christopher sold 20 cups of large 20-ounce cups of lemonade

outside his house.

What are linear and non-linear functions?

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

Given, Christopher has set up a lemonade stand outside his house and sells small cups and large cups of lemonade.

Small cups sold is x and the number of large cups sold is y.

Each small cup holds 10 ounces of lemonade and each large cup holds 20 ounces of lemonade and he sold 800 ounces.

Therefore,

10x + 20y = 800...(i)

He also sold twice as many small cups as large cups.

Therefore,

2y = x...(ii)

10(2y) + 20y = 800.

20y + 20y = 800.

40y = 800.

y = 20.

So, He sold 20 cups of large lemonade.

learn more about linear equations here :

https://brainly.com/question/29739212

#SPJ1

Mrs. Hana paid for 30 tickets that cost $7 and $5 with $200. She was given $14 in charge. How many $7 movie tickets did she buy?

Solve it in Singapore Math-Using Models

Answers

Answer:

18 tickets at $7

Step-by-step explanation:

You want a "Singapore Math" model solution to the number of $7 tickets Mrs. Hana bought if she got $14 change from $200, and she received a total of 30 tickets, some of which cost $5 each.

Model

The attachment shows the model we decided upon. Starting from $200, we subtract $14 in change, then divide the remainder into tickets costing $7 each and tickets costing $5 each. The point where the total number of tickets is 30 is the point that identifies the solution.

Mrs. Hana bought 12 tickets at $5 each, and 18 tickets at $7 each.

Additional comment

Most illustrations of Singapore Math models are solving for a single variable. Here, we must choose values for two variables (the numbers of $5 and $7 tickets) so the intended model isn't clear.

The model we have used is adequate for the purpose, but tedious to construct. It requires us to identify the point at which the count of $7 tickets (top bar) and the count of $5 tickets (bottom bar) has a sum of 30.

Mattie is twice as old as Pat. Jon is twice as old as Mattie. In 4 years the sum of their ages will be 61. How old is each person?

Answers

Answer:

Let's mark Pat's age is x. Then Mattie's age is 2x and Jon's age is 4x.

So (x + 4) + (2x + 4) + (4x + 4) = 61.

7x + 12 = 61 => 7x = 49 => x = 7.

So the answer is

Pat = 7

Mattie = 14

Jon = 28

The ages of Pat, Mattie, and Jon are as follows: 7 years, 14 years & 28 years.

If we take Pat's age as = 'x' years,

so, Mattie's age will be = '2x' years.

and then, Jon would be = 2(2x)

= '4x' years.

Now, the sum of their ages after 4 years =

=> (x+4) + (2x+4) + (4x+4) = 61

=> 7x+12 = 61

=> 7x= 61-12

=> 7x= 49

=> x= 49/7

=> x = 7

Therefore, Pat's age is = 7 years.

Mattie's age is = 14 years (2×7).

Jon's age is = 28 years (4×7).

To learn more about the Sum of ages, refer to:

https://brainly.com/question/11282363

A bag of sugar weighs 3.45 kg What is the weight of three such bags (in kilograms)?

Answers

Answer:
10.35kg

Explained:
The question already gives the weight in kilograms so there is no changing to be done, just the simple multiplication of 3 times 3.45kg which is equal to 10.35kg

3.45 is multiplied by 3 as 3.45 is the price of one bag and to get the price of 3 bagels you need 3 lots of 3.45

Answer:

10.35 kg

Step-by-step explanation:

Given a bag of sugar weighs 3.45 kg, you want the weight of 3 bags.

Weight

The weight of 3 bags will be three times as much as the weight of one bag:

3 × 3.45 kg = 10.35 kg

Three such bags weigh 10.35 kg.

<95141404393>

-50 POINTS- (Curtisqn don’t even try you’re slow.)

SSS
SAS
ASA
SAA
HL

Answers

ASA because the top have angles that are congruent same with the bottom and the middle is a congruent side that the triangles share

how many solutions does y = 5x - 8 and y = 9x - 8 have

Answers

The equation y = 5x - 8 and y = 9x - 8 have one solution at

(0, -8)

How to find the solution of the equation

The equation is solved simultaneously by elimination method as follows

y = 5x - 8

y = 9x - 8

subtraction the equations

0 = -4x - 0

-4x = 0

x = 0

substituting x = 0 into y = 5x - 8

y = 5x - 8

y = 5 * 0 - 8

y =0 - 8

y = -8

The solution of the equation is at the point (0, -8)

Learn more about simultaneous equation at:

https://brainly.com/question/16863577

#SPJ1

which shapes have 2 obtuse angles

Answers

Answer: Trapezoid

Step-by-step explanation:

Answer:

Step-by-step explanation:

Trapezoid square and the down right all the way

Use 10% to find 40% of 40

Answers

10% of 40 is 4
10% x 4 = 40%
So 40% of 40 is 4 x 4 is 16

4 4/9 times 3/8 simplest form

Answers

Answer:

5/3

Step-by-step explanation:

4 4/9 * 3/8 = 40/9 * 3/8 = 120/72 = 10/6 = 5/3

A large univerity accept60 % of the tudent who apply. Of the tudent the univerity accept,45 % actually enroll. If 10000
tudent apply, how many actually enroll?

Answers

The university accepts 6000 students out of the 10000 that applied.

What is enrolled?

Enrolled, in the context of education, is the process of registering a student with a school. The process typically requires a student to complete an application form and submit it to the school, along with any other required documents or fees. Once the student has been accepted and enrolled, they will be given a student ID number and will be able to access all the school's resources, such as classes and activities. In addition, the school may assign an advisor to the student to help them adjust to the school and plan out their academic path.

Of those 6000 accepted students, 45% will actually enroll, which is 2700 students. Therefore, of the 10000 students that applied, 2700 will actually enroll into the university.

To know more about enrolled click-
https://brainly.com/question/1101942
#SPJ4

find the height of the two pillar with same height

Answers

Answer:

ED = AB = 25√3

Step-by-step explanation:

Let ED = AB = X

DC = 100 - BC

Tan 60 = [tex]\frac{\sqrt{3} }{1} = \frac{ED}{DC}[/tex] = [tex]\frac{X}{100-BC}[/tex]

[tex]\sqrt{3} (100-BC) = X[/tex]

Tan 30 = [tex]\frac{1}{\sqrt{3} } = \frac{AB}{BC} = \frac{X}{BC}[/tex]

[tex]\frac{BC}{\sqrt{3} } = X[/tex]

[tex]\sqrt{3} (100-BC) = \frac{BC}{\sqrt{3} } \\3(100-BC) = BC\\300 - 3BC = BC\\300 = BC + 3BC\\300 = 4BC \\75 = BC[/tex]

X = [tex]\frac{BC}{\sqrt{3} } = \frac{75}{\sqrt{3} }\\[/tex]

X = 25√3

In three complete sentences, describe how i should find the solution to the system of equations below.

-6x + 3y = -12
x - y = 14

Answers

Multiply the second equation by 3 so you get 3x-3y=42. Then using cancellation you can get the equation -3x=30. By solving for x you can get x=-10 and plug it into both equations.

What is the maximum number of students among whom 135 pens, 180 pencils and 300 books can be equally divided.

Answers

Answer:

Step-by-step explanation: You can add all of these numbers with a calculator. but be sure what are the numbers telling you what to do. So always focus on the words that are going to mention about the numbers.

Shay and Nadine solve this problem in two different ways.
Mark has $25 in his bank account.
He makes $7 per hour babysitting.
How many hours must he babysit to have a total of $165 in his account?.
Use the drop-down menus to complete the sentences below.
Shay's
Assignment
25+7h-165
25-25 7h-165-25
7h-140
7h-140
7h 7h
A-20
Nadine's
Assignment
166-25-140
You need to make
$140 babysitting
140
-20
You need to babysit
for 20 hours
Please Help!

Answers

On solving the provided proportionality question we got that, U = 7.72, is rounded off nearest to tenth digit.

What is proportionality?

When two quantities or variables are linearly related in mathematics, the term "proportional" is used. Both quantities increase by two times when one increases by two. Each variable decreases in proportion to the other when it falls to 1/100th of its previous value.We must determine the ratio of the two quantities for each value supplied in order to determine if two quantities are proportionate. The proportionate link between them is evident if their proportions are equal. Their connection is not proportionate if all the ratios are out of balance.

Here,

U/5 = 17/11

U = 17/11 X 5

U = 7.72

To know more about proportionality visit:

brainly.com/question/8598338

#SPJ1

c) Mr. Gurung had Rs 3300. He purchased 5 kg of rice at Rs 70 per kg, 2 packets of oil at Rs 125 per packet and he gave Rs 2500 to his wife. If he divided the remaining sum between his son and daughter equally, find the share of each of them.

Answers

Answer:

Intial money=Rs 3300

final money=3300-(70×5)-(2×125)-2500

=3300-350-250-2500

=3300-3100=RS 200

Now,

share of each of them= 200/2=Rs100

*mark me brainliest

3. At the grocery store, three flavors of Cheerios are sold.

Flavor A is 20 ounces and costs $4.49. The unit rate is ------------- per ounce.

For Flavor B, the equation y = 0.20x represents the cost (y) per ounce (x) in each box. The unit rate is------------------------ per ounce.
For Flavor C, the table below shows the amount paid per ounce. The unit rate is ---------------------- per ounce
Ray is making bouquets of balloons. In each bouquet 2 out of every 5 balloons are red. Write an equation to help Ray determine how many red balloons are needed compared to the the total number of balloons used.

7. Let x represent the number of balloons used compared to y which is the number of red balloons.
10.
Review the keywords below. Find at least 2 words commonly used for "Rate of Change". Drag and Drop them to the box for "Rate of Change" to earn full credit.

Answers

The unit rate of flavor A is; $0.2245 per ounce

The unit rate of flavor B is; $0.20 per ounce

An equation to help Ray determine how many red balloons are needed compared to the the total number of balloons used is; y = ²/₅x

How to find the unit rate?

A unit rate is also called unit ratio and it describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

We are given that Flavor A is 20 ounces and costs $4.49. Thus;

Unit rate of flavour A = $4.49/20 = $0.2245 per ounce

For Flavor B, the equation y = 0.20x represents the cost (y) per ounce (x) in each box. Thus, the unit rate is $0.20 per ounce

Since ray is making bouquets of balloons. In each bouquet 2 out of every 5 balloons are red.

If x is the number of ounces, then the unit rate is 2/5 . Thus, the equation is; y = ²/₅x

Read more about Unit rate at; https://brainly.com/question/19493296

#SPJ1

A tore i having a ale on almond and jelly bean. For 5 pound of almond and 2 pound of jelly bean, the total cot i $12. For 3 pound of almond and 8 pound of jelly bean, the total cot i $31. Find the cot for each pound of almond and each pound of jelly bean

Answers

b = $3.5 the cost of each pound of jelly beans.

a = $1, the cost of each pound of almonds

What is the elimination method?

The elimination approach involves taking one variable out of the system of linear equations by utilizing addition or subtraction together with multiplication or division of the variable coefficients.

Here,

We let a be the almond and b be the jelly bean.

5a + 2b = $12....(1)

3a + 8b = $31....(2)

...Solving by elimination method.

5a = 12 - 2b

a = (12 - 2b)/5

Now, we put the value of a in equation(2)

3a + 8b = $31

3(12 - 2b)/5 + 8b = 31

(36 - 6b)/5 + 8b = 31

36 - 6b + 40b = 155

34b = 155 - 36

34b = 119

b = $3.5 the cost of each pound of jelly beans.

a = $1, the cost of each pound of almonds.

To learn more about the elimination method from the given link

https://brainly.com/question/25427192

#SPJ4

You have four sweaters, five pairs of pants, and three pairs of shoes. How many different combinations can you make, wearing one of each

Answers

Therefore, 60 different combinations can be made wearing one of each type

What is Fundamental Counting Principle? If an event can occur in m different ways, and another event can occur in n different ways, then the total number of occurrences of the events is m × n.This video uses manipulatives to review the five counting principles including stable order, correspondence, cardinality, abstraction, and order irrelevance. When students master the verbal counting sequence they display an understanding of the stable order of numbers.Fundamental Principle of Counting helps to determine how selection is done on the basis of available choices. Fundamental Principle of Counting simplifies the approach of selection considering all the possible choices and their combinations for calculating the ProbabilityThe fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things. Example 1: Suppose you have 3 shirts (call them A , B , and C ), and 4 pairs of pants (call them w , x , y , and z ). Then you have. 3×4=12.

To learn more about Fundamental Counting Principle refers to:

brainly.com/question/10275154

#SPJ4

Type the correct answer in each box. Use numerals instead of words. Find the missing side and angle measures in triangle ABC. Round your answers to the nearest tenth. Scalene triangle ABC with side AC labeled 23 and side BC labeled 15. Angle A measures 40 degrees. The measure of angle B is approximately . The measure of angle C is approximately . The length of side AB is approximately

Answers

The measures of the angles of the triangles are

The measure of ∠B = 80.3°

The measure of ∠C = 59.7°

The length of side AB = 20.2 units

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of side AC = 23

The measure of side BC = 15

The measure of ∠A = 40°

From the law of sines , we get

( sin A ) / a = ( sin B ) / b = ( sin C ) / c

Substitute the value of A and a in the equation , we get

sin ( 40 )° / 15 = sin B / 23

On simplifying the equation , we get

sin B = ( 23/15 ) x sin ( 40 )°

Now , m∠B = 80.27°

So , the measure of angle ∠B = 80.3°

And ,

The interior angles of a triangle is 180°

So , The measure of angle ∠C = 180° - ( 80.3° + 40° )

On simplifying the equation , we get

The measure of angle ∠C = 59.7°

Now ,

From the law of cosines , c² = a² + b² - 2ab ( cos C )

Substitute the value of a , b and cos C in the equation , we get

c² = 15² + 23² - 2 ( 15 ) ( 23 ) cos ( 59.7 )°

On simplifying the equation , we get

c² = 225 + 529 - 348.12363

c² = 405.87

Taking square roots on both sides of the equation , we get

c = 20.156

c = 20.2 units

Therefore, the measure of side AB = 20.2 units

Hence , the measures angles of triangle is solved

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ1

Draw a model for the fraction 1/6

Answers

Answer:

Hope the picture helps you draw.

Step-by-step explanation:

In a circle, an angle measuring 5. 5 radians intercepts an arc of length 8. 4. Find the

radius of the circle to the nearest 10th.

Answers

The circle's radius is equal to 3.659 or 3.7.

What is Radius?

A circle's or a sphere's radius is the length of the line between the center and the edge.

From the center of the circle or sphere to any point on its perimeter, the radius' length is constant.

Its diameter is halved by its length.

A line segment from a circle's or sphere's center to its perimeter or boundary is known as the radius in geometry. I

t is a crucial component of spheres and circles and is frequently abbreviated as "r."

When discussing multiple radiuses at once, the plural form of radius is "radii." the longest line connecting any points on the opposite side of a circle or sphere.

Hence, The circle's radius is equal to 3.659 or 3.7.

learn more about radius click here:

https://brainly.com/question/27696929

#SPJ4

How do you factor with 4 parts?

Answers

When a polynomial has four or more terms, the easiest way to factor it is to use grouping.

Grouping can be understand more better with an example:

for eg: factor x^3 + x^2 – x – 1 by using grouping. Just follow these steps:

Break up the polynomial into sets of two. You can go with (x^3 + x^2) + (–x – 1). Put the plus sign between the sets, just like when you factor trinomials. The square x2 is the GCF of the first set, and –1 is the GCF of the second set. Factoring out both of them, you get x^2(x + 1) – 1(x + 1).one can Factor again as many times as you can. The two terms you’ve created have a GCF of (x + 1). When factored out, you get (x + 1)(x^2 – 1).

However, x^2 – 1 is a difference of squares and factors again as (x+1)(x-1). This gives you a final factorization of: (x + 1)(x + 1)(x – 1), or (x + 1)2(x – 1).

Learn more about factorization at:

https://brainly.com/question/25829061

#SPJ1

Select the linear function from the following:

Select one:

a.
− 3 / x + y / 7 = 11

b.
− x / 3 + 7 / y = 11

c.
− x / 3 + y / 7 = xy

d.
− x / 3 + y / 7 = 11

Answers

The linear function in the option is − x / 3 + y / 7 = 11.

How to know linear function?

A linear function is a function that represents a straight line on the coordinate plane.

Linear function can be represented in slope intercept form as follows:

y = mx + b

where

m = slope of the lineb = y-intercept

Therefore, let's select the linear function from the options:

− 3 / x + y / 7 = 11

-3x⁻¹ + 1 / 7 y = 11 (Not a linear function)

− x / 3 + 7 / y = 11

- 1 / 3 x + 7y⁻¹ = 11 (Not a linear function)

− x / 3 + y / 7 = xy (Not a linear function)

− x / 3 + y / 7 = 11

- 1 / 3 x + 1 / 7 y = 11 (This is the linear function)

learn more on linear function here: brainly.com/question/30170307

#SPJ1

What is the 3 triangular number?

Answers

A triangular number succession is the representation of numbers as just an ordered set of equilateral triangles. The order of these numbers is 1, 3, and 6.

What exactly is meant by triangular numbers?

A triangular number is one that may be written as the sum of a initial n positive integers.

A good example of a triangular number is 6, which may be written as 1+2+3 when the first three positive integers are added together.Triangular numbers make up a sequence if one considers the sum of the first positive integer as the initial element, the sum of the first two positive integers as the second element, and so on.If a number equals that sum of such initial n positive integers, then n denotes the position of that particular triangular number with in the series.Triangular numbers can be used to create equilateral triangles.

The first 3 triangular numbers are therefore 1, 3, and 6.

To know more about the triangular numbers, here

brainly.com/question/13968949

#SPJ4

A submarine in the middle of the ocean at a depth of 115 feet and dives to a depth of four times its initial death rate in submarines death as an integer

Answers

The integer number that represents the submarine's depth is given as follows:

-460.

What are integer numbers?

Integer number are numbers that can have either positive or negative signal, but are whole numbers, meaning that they have no decimal part.

The concepts of height and depth are given as follows:

Height is above the sea level, hence it is represented by positive integers.Depth is above the sea level, hence it is represented by negative integers.

A submarine in the middle of the ocean at a depth of 115 feet, hence the integer that represents the initial depth is given as follows:

-115.

The submarine dived to a depth that is four times the initial depth, hence the integer that represents the final depth is given as follows:

4 x -115 = -460.

(meaning that the final depth of the submarine is of 460 feet).

More can be learned about integer numbers at brainly.com/question/17695139

#SPJ1

help! thanks !!! asap tho-

Answers

The unit rate of change of the proportional relationship is given as follows:

2.25.

The graph of the proportional relationship is given by the image presented at the end of the answer.

What is a proportional relationship?

A proportional relationship is a linear function with an intercept of zero modeled as follows:

y = kx.

In which k is the constant of proportionality.

The input and output variables for this problem are given as follows:

Input variable x: cups of sugar.Output variable y: cups of flour.

The constant k, representing the unit rate, is obtained by the division of the output of the input from the table, hence:

k = 4.5/2 = 6.73/3 = 9/4 = 2.25.

Meaning that the function is defined as follows:

y = 2.25x.

The function is graphed for a domain of x ≥ 0, as the number of cups of sugar must be a countable, non-negative amount.

More can be learned about proportional relationships at https://brainly.com/question/10424180

#SPJ1

Determine if each infinite geometric series is convergent or divergent.

Answers

The solution to the geometric progression are

a) The geometric progression converges , r = 0.1

b) The geometric progression converges , r = 0.2

c) The geometric progression diverges , r = 5

d) The geometric progression converges , r = 0.2

e) The geometric progression diverges , r = 5

f) The geometric progression converges , r = 0.2

What is Geometric Progression?

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the geometric progression be represented as A

Now , the value of A is

A geometric progression is said to converge if the common ratio r lies between -1 < r < 1

So , If -1 < r < 1, the geometric sequence converges

The geometric progression is A = 0.3 + 0.03 + 0.003 + ...