Chandler and Gilbert both currently have a population of 200,000 people. Chandler expects to grow by 2000 people each year. Gilbert expects to grow by 10% each year.a. What is the absolute difference between the population of Chandler compared to Gilbert after 10 years?b. What is the relative difference of the population of Chandler compared to Gilbert after 10 years?

Answers

Answer 1

The absolute difference of two real numbers x, y is given by |x - y|. Now we need to know the population of Chandler and Gilbert after 10 years.

Chandler: We have that after ten years the population is 220,000

Gilbert: after ten years the population is

the 1 year after: 200,000 + 20,000 = 220,000

the 2 year after: 220,000 + 22,000 = 242,000

the 3 year after: 242,000 + 24,200 = 266,200

the 4 year after: 266,200 + 26,620 = 292,820

the 5 year after: 292,820 + 29,282 = 322,102

the 6 year after: 322,102 + 32,210.2 = 354,312.2

the 7 year after: 354,312.2 + 35,431.22 = 389,743.42

the 8 year after: 389,743.42 + 38,974.342 = 428,717.762

the 9 year after: 428,717.762 + 42,871.7762 = 471,589.5382

the 10 year after: 471,589.5382 + 47,158.95382 = 518,748.90764

a. So the absolute difference is |518,748.90764 - 220,000 |= 298,748.90764

The relative difference is given bu the formula

\(\frac{\lvert{x-y}\rvert}{max{}\lbrace x,y\rbrace}\)

in this case we have that the relative difference is

\(\frac{\lvert{518,748.90764-220,000}\rvert}{518,748.90764}=\frac{298,748.90764}{518,748.90764}\)

b. 0.57590272


Related Questions

Just tell me like first one goes to... or like seconds one goes to..

Just tell me like first one goes to... or like seconds one goes to..

Answers


the answer to the first one is graph 3. the answer the the second one is graph 1.

Complete the factor pairs of
12

12 = 1x12
12 = 3x4
12=?

Answers

12=2x6 or 12=6x2 either way it should be the same I hope this helps

Answer:

12= 1x12 12= 3x4 12=6x2

Step-by-step explanation:

hope i helped :))))

Taylor buys candy at the store that costs $1.50 per candy bar.
Create a table that could represent Taylor’s cost per candy bar.
Candy
Cost
0 /0
1 /1.50
? ?
? ?
? ?

Answers

Answer:

2/ 3.00

3/4.50

4/6.00

Step-by-step explanation:

−3x+7y=5x+2y as ordered pair

Answers

Answer:

y = 8/5x

Step-by-step explanation:

−3x + 7y = 5x +2y

+3x           +3x

7y = 8x + 2y

-2y        -2y

5y = 8x

/5    /5

y = 8/5x

*View attached graph for ordered pairs*

Hope this helps!

3x+7y=5x+2y as ordered pair

3 6 9 12 15 18 21 24 27 30 is odd or even numbers?​

Answers

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Simplify (2m^4)(5m^2)

Answers

Answer:

\((2 {m}^{4} )(5 {m}^{2} ) \\ = 10 {m}^{4 + 2 } \\ = 10 {m}^{6} \)

I hope I helped you^_^

Dan Invests £2500 into his bank account. He receives 5% per year simple interest. How much will Dan have after 2 years? Give your answer to the nearest penny where appropriate.
Please help me give me the answer:
Explanation:

Answers

Answer:

Sure, I'd be happy to help you with that!

To calculate Dan's earnings with simple interest, we can use the following formula:

I = P * r * t

where:

I = interest earned

P = principal amount (initial investment)

r = interest rate (as a decimal)

t = time period (in years)

We know that Dan invests £2500 and receives 5% simple interest per year, so:

P = £2500

r = 0.05

t = 2 years

Plugging these values into the formula, we get:

I = £2500 * 0.05 * 2

I = £250

This means that Dan will earn £250 in interest over the 2-year period.

To calculate Dan's total earnings, we simply add the interest earned to the initial investment:

Total earnings = £2500 + £250

Total earnings = £2750

Therefore, Dan will have £2750 in his bank account after 2 years.

3. Bryan spent $13.00 of the $25.00 he got for his birthday. What decimal represents the fraction of birthday money Bryan spent?​

Answers

Answer:   0.52

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

Explanation:

Use your calculator to type in either 13/52 or 13 ÷ 52

The calculator should display 0.52 as the answer. The decimal 0.52 converts to 52%

The steps for the long division are shown below.

3. Bryan spent $13.00 of the $25.00 he got for his birthday. What decimal represents the fraction of

a girl was 6 and sister was 2,the girl is now 24,how old is the sister?​

Answers

Answer:

The sister is 20

Step-by-step explanation:

The sister is 4 years younger than the girl.

A box contains x apples.
5 are green and the rest are red.
Write an expression for P(red).

Answers

Answer:

25

Step-by-step explanation:

a box contians× means 5×5=25

Find slope of (- 6,1)and(8,-7)

Answers

The slope of the line passing through the points (-6, 1) and (8, -7) is -4/7.

What is the slope of the given points?

Slope is simply expressed as change in y over the change in x.

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given the data in the question;

Point A: ( -6,1 )

x₁ = -6

y₁ = 1

Point B: ( 8,-7 )

x₂ = 8

y₂ = -7

Now, plug the given x and y values into the slope formula above and simplify:

\(Slope\ m = \frac{y_2 - y_1}{x_2 - x_1} \\\\Slope\ m = \frac{-7 - 1}{8 - (-6)} \\\\Slope\ m = \frac{-7 - 1}{8 + 6} \\\\Slope\ m = \frac{-8}{14} \\\\Slope\ m = -\frac{4}{7}\)

Therefore, the slope of the line is -4/7.

Learn more about slope formula here: brainly.com/question/24578307

#SPJ1

1. Global warming creates local problems. Projections forecast that even a moderate air temperature increase of only 1.8 °F could cause brook trout distributions to decrease dramatically. For example, such a temperature increase would take Washburn county's 19 ponds that support brook trout down to 10 ponds. What would be the percent decrease in the number of ponds that support brook trout?​

Answers

The percent decrease in the number of ponds that support brook trout would be approximately 47.37%.

To calculate the percent decrease in the number of ponds that support brook trout, we need to determine the difference between the initial number of ponds and the final number of ponds, and then express that difference as a percentage of the initial number of ponds.

Initial number of ponds: 19

Final number of ponds: 10

To calculate the percent decrease, we can use the following formula:

Percent Decrease = (Difference / Initial Value) * 100

Let's apply this formula to the given data:

Difference = Initial number of ponds - Final number of ponds

Difference = 19 - 10

Difference = 9

Percent Decrease = (9 / 19) * 100

Now, let's calculate the percent decrease:

Percent Decrease = (9 / 19) * 100

Percent Decrease ≈ 47.37%

For such more question on number:

https://brainly.com/question/30752681

#SPJ8

What is the answer to 7/6 + 13/3=

Answers

Answer:

33/6 or 11/2 or 5.5

Step-by-step explanation:

One way to solve this is by using a calculator and spitting out a answer, but just in case you're not allowed to use a calculator, here's how you would do it on paper.

\(\frac{7}{6} +\frac{13}{3}\)

The two denominators are different, so we have to make them the same by multiply either side (sometimes both) to make the denominator the same.

\(\frac{7}{6} +\frac{13}{3}*2\\\\\frac{7}{6} + \frac{26}{6}\)

Now the denominators are the same. Since the denominators are the same, we can ignore the denominator for now and focus on the numerators.

26 + 7 = 33

The numerator is 33 when adding the two fractions together. Now, to make your fraction complete attach the denominator we ignored.

Your final answer is : \(\frac{33}{6}\) or a simplified version \(\frac{11}{2}\) or 5.5.

Answer:

11/2 or \(5\frac{1}{2}\)

Step-by-step explanation:

\(7/6 + 13/3\\\\\mathrm{Least\:Common\:Multiplier\:of\:}6,\:3:\quad 6\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\\\=\frac{7}{6}+\frac{26}{6}\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}\\\\\frac{7}{6}+\frac{26}{6}=\frac{7+26}{6}\\\\=\frac{33}{6}\\\\\mathrm{Factor\:the\:number:\:}\:33=3\times\:11\\\\=\frac{3\times\:11}{6}\\\\\mathrm{Factor\:the\:number:\:}\:6=3\times\:2\\=\frac{3\times\:11}{3\times\:2}\\\)

\(\\\mathrm{Cancel\:the\:common\:factor:}3\\=\frac{11}{2}\\\\= 5\frac{1}{2}\)

7/8+1/3 in simplest form

Answers

Answer:

\( \frac{7}{8} + \frac{1}{3} = \frac{21 + 8}{24} = \frac{29}{24} \)

2 more than n is the quotient of n and 6

Answers

Answer:

6n+2

Step-by-step explanation:

I NEED HELP PLSSSSSSSSSSSSSSSSSSSSS

I NEED HELP PLSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

84 square meters

Step-by-step explanation:

A = (4 + 8)(7) = 12(7) = 84 square meters

Which expression calculates the time in hours a person takes to walk 35 miles at a speed of 5 miles/hour
35 miles
5 miles
(Hint: 5x =35)
1/1 Pt
7
hours
1 hour
circle which one we are using
or
D Time=
35 miles
S
5 miles/ hour
miles or hours???

Answers

An expression that calculates the time in hours a person takes to walk 35 miles at a speed of 5 miles/hour is: T = 35/5 = 7 hours.

What is speed?

In Mathematics, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using the following unit of measurement;

Meter per seconds (m/s).Miles per hour (mph).Kilometers per hour (kph).How to calculate the speed?

Mathematically, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Making time the subject of formula, we have:

Time = distance/speed

Time = 35/5

Time = 7 hours.

Read more on speed here: brainly.com/question/8163450

#SPJ1

7).
2. Hot Text: For each graph, choose the correct sentence to describe the graph.
The graph represents a proportional relationship.
The graph does not represent a proportional relationship.

7).2. Hot Text: For each graph, choose the correct sentence to describe the graph.The graph represents

Answers

a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

What is a proportional relationship?

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

A similar problem, also featuring proportional relationships, is presented at https://brainly.com/question/7723640

#SPJ1

Which line is perpendicular to 3y + 2x = 9?

Options:
6x - 4y = 12
2x + 3y = 6
y + 3x = -2
y = -2x + 6

Answers

Answer:

2x + 3y = 6

Step-by-step explanation:

Find an equation of the line that passes through the point
(x, y) = (3, 1) and is
perpendicular to the line
2x + 3y = 12

Answers

Considering the definition of perpendicular line, the equation of the perpendicular line that passes through the point (x, y) = (3, 1) and is perpendicular to the line 2x + 3y = 12 is y= 3/2x -7/2.

Linear equation

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

Perpendicular line

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

Equation of perpendicular line in this case

In this case, the line is 2x+3y= 12. Expressed in the form y = mx + b, you get:

3y= 12 - 2x

y= (-2x +12)÷ 3

y= -2/3x +4

Since multiplying the slopes of two perpendicular lines, you get -1, and the line has a slope of -2/3, you get:

-2/3× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-2/3)

slope perpendicular line= 3/2

The line passes through the point (3, 1). Replacing in the expression for parallel line:

1= 3/2× (3) + b

1= 9/2 + b

1- 9/2 = b

-7/2= b

Finally, the equation of of perpendicular line is y= 3/2x -7/2.

Learn more about perpendicular line:

brainly.com/question/7197064

brainly.com/question/11470863

brainly.com/question/7280013

#SPJ1

)The mean voltage of a battery is 15 and S.D 0.2.Find the probability that four such batteries connected in series will have combined voltage of 60.8 or more volts

Answers

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

Learn more about probability here:

https://brainly.com/question/23417919

#SPJ8

HELP! PLEASE final math problem I need this done by tomorrow please!!!

22. An electronics store makes $125 profit on every iPhone it sells and $100 on every Android it sells.
The store owner wants to make a profit of at least $500 a day selling DVD players and CD players.
a. Write an inequality to describe the situation.
x=iPhone y=Android
____x ______ ____y ____ _______
(125/100) (≤ / ≥) (500/125)
-rearrange so y is the answer

Answers

Answer: y ≥ (5/4)x - 1, where x represents the number of iPhones sold and y represents the number of Androids sold.

Step-by-step explanation:

Translate to an equation, but do not simplify or solve.
Eight more than x is equal to 53.
Solve the equation.
X =
+

Translate to an equation, but do not simplify or solve.Eight more than x is equal to 53.Solve the equation.X

Answers

Answer:

x + 8 = 53

Step-by-step explanation:

x + 8 = 53

8 more than x is x + 8 because ur adding 8 more to x. And that is equal to 53 because it literally says IS EQUAL to 53. therefore.

to solve isolate x by subtracting 8 from both side so:

x = 53-8

x = 45

green foods purchases packages of noodles by the carton. each carton contains 36 packages and costs $43.20. green foods sells the noodles for $2.29 per package. what is the markup per carton?

Answers

Answer:

91% markup

Step-by-step explanation:

$43.20 divided by 36 is $1.20 per package

if Green Foods is selling one package for $2.29 then they are marking each package up by $1.19

if you take the difference of the per carton prices (82.44-43.20) and divide it by 43.20, you get a 91% markup

A wire 22 cm long has a mass of 374 g. What is the mass of 13 cm of this wire?

Answers

Answer:

221 g

The up pinned pic is of inverse variation typed answer.. If u want word problem type answer here are the steps (EVEN IF THE STEPS ARE DIFFERENT ANSWERS REMAIN SAME)

Step-by-step explanation:

Mass of wire from 22cm = 374g

Mass of wire from 1 cm = 374÷22 = 17g

Mass of wire from 13 cm = 13×17 = 221 g

A wire 22 cm long has a mass of 374 g. What is the mass of 13 cm of this wire?

1 Analyze why you think some men do not report gender based violence. (2x2 what extent the following institutions have supported communi​

Answers

I think some men do not report gender-based violence due to a variety of reasons, including fear of retaliation or further violence, social stigma and shame, lack of trust in the criminal justice system, and concerns about not being believed or taken seriously.

In terms of the extent to which institutions have supported communities affected by gender-based violence, there are a few factors to consider:

1. Law Enforcement: Law enforcement agencies play a critical role in responding to and investigating gender-based violence. However, some men may not feel comfortable reporting violence to the police due to past negative experiences or concerns about not being believed. Additionally, some men may fear that reporting violence will result in further harm or retaliation from the perpetrator.

2. Health Care: Health care institutions can provide critical support to individuals affected by gender-based violence, including medical care, counseling, and referrals to other services. However, some men may not seek out these services due to stigma or shame, or may not feel that they are able to discuss their experiences with health care providers.

3. Social Services: Social service agencies can provide a range of support services to individuals affected by gender-based violence, including emergency housing, financial assistance, and legal advocacy. However, some men may not seek out these services due to concerns about stigma or a lack of awareness of available resources.

4. Community-Based Organizations: Community-based organizations can provide a range of support services to individuals affected by gender-based violence, including counseling, advocacy, and referrals to other services. However, some men may not seek out these services due to concerns about stigma or a lack of awareness of available resources.

Overall, it is important for institutions to work collaboratively to address gender-based violence and ensure that all individuals, regardless of gender, feel comfortable coming forward to report violence and seek support services.

A sample of 260 students enrolled at a university were asked what they intended to do after graduation. The results are shown below.

Bar Graph of Type of Employment


What percentage of students intend to go into state or local government after graduation?

Answers

Hi my name is Fabian and 69% because 69 is a man which is multi colour hair

Use a graphing calculator to sketch the graph of the quadratic equation, and then give the coordinates for the x-intercepts (if they exist).
y = negative x squared + 15 x minus 56
a.
(-7, 0); (-8, 0)
c.
(-7, 0); ( 8, 0)
b.
( 7, 0); (-8, 0)
d.
( 7, 0); ( 8, 0)
Please select the best answer from the choices provided

Answers

When y = -x² + 15x - 56 then coordinates are is (c) (-7, 0); (8, 0).

What are the quadratic functions?

Quadratic functions are a type of polynomial function of degree 2, which can be expressed in form f(x) = ax² + bx + c, where a, b, and c are constants, and x is the variable.

The graph of the given quadratic equation y = -x² + 15x - 56 can be plotted using a graphing calculator or any graphing tool. The x-intercepts are the points on the x-axis where the graph intersects the x-axis, i.e., the points where y = 0. By plotting the graph, we can determine the x-intercepts to be (-7, 0) and (8, 0), which correspond to option (c) (-7, 0); (8, 0).

Option (a) and (b) have incorrect x-coordinates for the x-intercepts, and option (d) has both positive x-coordinates for the x-intercepts, which is not correct based on the graph of the given quadratic equation.

Hence, option (c) is the correct answer.

To learn more about quadratic functions, Visit

https://brainly.com/question/1214333

#SPJ1

a. -3/2
b. 0
c. 3/2
d. DNE

a. -3/2b. 0c. 3/2d. DNE

Answers

the answer would be cA

Use the equation: y = 5x - 4 Write an equation in any form) of a line that passes through the point (-1,7) and is parallel to the original line. ​

Answers

Answer:

y = 5x + 12

Step-by-step explanation:

Use the formula: y - y1 = m(x - x1)

Plug in all numbers into your equation: y - 7 = 5(x - -1)

Minus with a minus becomes a positive: y - 7 = 5(x + 1)

Distribute:                    y - 7 = 5x + 5

Add 7 to both sides:      +7          +7

Answer: y = 5x + 12

Other Questions
Where did these immigrants largely settle and what was their life like in the U.S.? What were their livingconditions like? What did they do for work ? A recipe calls for 3/4 cup of flour for every 6 teaspoons of milk. What is the unit rate in teaspoons per cup of flour?A. 4/12B. 8C. 12D. 24 a sequence of complex numbers , , , satisfies the rulesuppose that and . how many possible values are there for ? express - 36 upon 24 as a rational number with the numerator first 9 second 6 If a solid crystal of KHP from the bottom of the solution was accidentally pipetted and went unnoticed throughout titrations, the Ksp value would be why s is not a solution for black scholes pde The text says that the myth of Arachne served to warn against the dangers of pride and vanity[.] How does the story of Arachne demonstrate the dangers of pride and vanity? Use details from the story to support your answer. Assume you are using a significance level of a 0.05) to test the claim that < 13 and that your sample is a random sample of 41 values. Find the probability of making a type II error (failing to reject a false null hypothesis), given that the population actually has a normal distribution with -8 and 7J B = | Why is the panama canal important to growth and expansion of Agriculture? unfavorable activity variances may not indicate bad performance because blank . multiple choice question. costs should not change as activity changes increased activity should result in higher fixed costs increased activity should result in higher variable costs Of increasing basicity. olutions of baking soda and boric acid were prepared. When two drops of malachite solutions of baking soda and boric acid were prepared. When two drops of malachite green indicator were added to the boric acid solution it turned blue. When two drops of bromothymol blue indicator were added to the baking soda olution it also turned blue. Which solution has the higher pH? Suppose a database manager were to allow nesting of one transaction inside another. That is, after having updated part of one record, the DBMS would allow you to select another record, update it, and then perform further updates on the first record. What effect would nesting have on the integrity of a database? Suggest a mechanism by which nesting could be allowed. I was wondering if i can get help with this pleaseRead this excerpt from "Foreign Lands."To where the roads on either handLead onward into fairy land,Where all the children dine at five,And all the playthings come alive.What is the effect of Robert Louis Stevensons use of figurative language in this stanza?It shows that the author has the ability to see the future.It emphasizes the dreamlike world of the speakers imagination.It highlights that the speaker has visited many far-off places.It illustrates what the speaker sees looking down from the tree. what is the threshold of hearing? question 37 options: none of the above choices are correct 0.01 decibel 1 decibel 10 decibel The HCF of 28 and another number is 4. The LCM is 40. Find the missing number What problem event brought about King Philip's war? Phishing, baiting, and tailgating are examples of ________ attacks. The lifetime in hours of a transistor is a random variable having probability function given by f(x) = cxe*; x0 a) Find c. b) Compute the generating function of X. Hence, calculate E(X*) and write it as an expression of the MacLaurin series. Alexis rolls a number cube, flips a coin what's the probability she rolls 2 flips tails the bulk of an herbaceous eudicot root consists of loosely arranged parenchyma cells in the: a. epidermis. b. periderm. c. cortex. d. endodermis. e. pericycle.