the yearly changes in the population of a town for four consecutive years were, respectively, 25% increase, 25% increase, 25% decrease, and 25% decrease. what is the net present decrease over the four years, rounded to the nearest percent?

Answers

Answer 1

Answer: The net change is a 12.11% decrease.

To see what is going on in this problem, we should write an equation. Let's start by using P to represent the total population.

P x 1.25 x 12.5 x 0.75 x 0.75 = 0.8789

For the increases, we multiplied by 1.25. For the decreases, we multiplied by 0.75.

The final result is the P gets multiplied by 0.8789. In other words it is made smaller by 12.11%. 100% - 87.89% = 12.11%

Related Questions

make w the subject of the formula y-aw=2w-1

Answers

Answer: w = [ y + 1] / [a + 2]

Solution step by step:

1) given formula: y-aw=2w-1

2) transpose aw and - 1

2w + aw = y + 1

3) common factor w:

w (a + 2) = y + 1

4) divide both sides by (a + 2):

w = [ y + 1] / [a + 2]

Final answer:

To make w the subject of the formula y-aw=2w-1, rearrange the equation as follows: add aw to both sides, factor out w on the right side, add 1 to both sides, and then divide by (a+2). The final equation is w=(y+1)/(a+2).

Explanation:

The question is asking to rearrange the given formula y-aw=2w-1 to solve for the variable w. We can follow these steps:

Add aw to both sides of the equation to eliminate it on the left side. This gives us y=aw+2w-1. Factor out w from the right side. This gives us y=w(a+2)-1. Add 1 to both sides of the equation to eliminate it on the right side. This gives us y+1=w(a+2). Divide both sides of the equation by (a+2) to isolate w. This gives us w=(y+1)/(a+2).

Therefore, in the formula y-aw=2w-1, w=(y+1)/(a+2) when solved for w.

Learn more about Rearranging Equations here:

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whats the answer to 8n−15=41

Answers

The answer is 7.
8*7=56
56-15=41

Hope this helped☺☺

8n-15=41 ADD 15 TO BOTH SIDES
+15 +15

8n=56 DIVIDE BY 8
/8 /8

n=7 FINAL ANSWER

Which property justifies the following statement? If x=2,and y=3x-11, then y=3•2-11

Answers

Property of substation justifies that statement, as you replaced x with 2

substitution :))))))))))))))))))))

Solve for x under the assumption that x > 0. Enter your answer in interval notation using grouping symbols.

x−24/x<10,

Answers

Starting with x−24/x<10 multiply everything by x. x^2-24<10x Subtract 10x from both sides. x^2-10x-24 < 0 Factor. (x-12)(x+2) < 0 (x+2) is always positive since x > 0, but (x-12) is negative when x is a value between 0 and 12. This negative value for (x-12) satisfies that the left side is less than 0. Thus the solution set for x is (0,12).

The solution for the set would be: x is (0,12).

What is the solution?

To arrive at the solution, we would first move the constant term to the right side as follows;

x - 24/x < 10

x < 10 + 24/x

We then multiply both sides by x to eliminate the fraction:

x² < 10x + 24

Collect all terms to one side;

x² - 10x - 24 < 0

Factorize

(x - 12)(x + 2) < 0

So, x - 12 is positive when x > 12 and negative when x < 12.

x + 2 is positive for all values of x > 0.

Pls help.
Solve (6x^3-1x^2+1)/(2 x+1)
a. -3x^2+2x-1
b. 3x^2-2x+1
c. -3x^2+2x-1
d. 3x^2+2x-1,

Answers

Start by looking at the leading terms. The divisor's 2x goes into the dividend 6x^3 a 3x^2 number of times. Multiply this by the divisor and you get 6x^3+3x^2. Subtract from the dividend and get -4x^2. 2x goes into this -2x times. Multiply by the divisor and get -4x^2 - 2x. Subtract and get 2x. Bring down the 1 term yielding 2x+1. 2x+1 goes into 2x+1 only 1 time. Thus the quotient is 3x^2-2x+1 which is option b.

This circle graph shows the results of a survey that asked people to identify their favorite type of music.

What percent of people chose rock or country as their favorite type of music?

9%

35%

45%

55%
A circle graph with 5 sections. The first section is labeled Rock 27 percent. The second section is labeled Hip Hop 28 percent. The third section is labeled Jazz 19 percent. The fourth section is labeled Country 18 percent. The fifth section is labeled Other 14 percent.

Answers

The answer is 45%.

Country or rock would be found by adding the two percentages:
18+27 = 45.

(Side note: the percentages on this circle graph add up to 106%....)

Answer: C) 45

Hope Thsi Helps ^_^

In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?

Enter your answer in the box.

Answers

Yes the answer is

10cm

Because (The 30-60-90 Triangle Theorem)
In a 30-60-90 triangle, the length of the hypotenuse is TWICE the length of the shorter leg.

Thanks Shellbag101

The length of the hypotenuse is 10cm

SOH CAH TOA identity

Given a 30-60-90 triangle where:

Length of the shorter leg = 5cm (adjacent)

The hypotenuse is what we need.

[tex]cos \theta = \frac{adj}{hyp} \\ [/tex]

Substitute the given parameters

[tex]cos 60 = \frac{5}{h}\\ h =\frac{5}{cos 60}\\ h = \frac{5}{0.5}\\ h = 10cm[/tex]

Hence the length of the hypotenuse is 10cm

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The sum of three consecutive odd integers is − 105 . find the numbers.

Answers

the equation would be
x+(x+2)+(x+2+2)=105
3x+2+2+2=105
3x+6=105
3x=99
x=33
so the answers would be 33, 35 and 37

The area of a rectangle is 54 m^2 , and the length of the rectangle is 3m more than twice the width. find the dimensions of the rectangle.

Answers

the square root of 8

What is the least common Multiple of 9 and 10? Use prime factorization to solve.

Answers

the least common multiple is 1

The LCM is 90
......................

ANSWER NOW PLEASE! EXTRA POINTS!
1) Martha is covering this trapezoid-shaped board with fabric. How many square feet of fabric does Martha need?

2) A garden in the shape of a regular hexagon has sides that are each 5 meters long. If the height of each of the congruent triangles within the hexagon is about 4.33 meters,what is the area of the garden?

Answers

1. 18 square feet
2. About 64.95meters or technically 64.95191
hope this helps!! :)

Please help simple math problem

Answers

The answer is supplementary angles, hopefully that helps.

The answer to your question is (C) VERTICAL ANGLES

When 2 lines intersect, they make vertical angles.
Vertical angles are congruent (equal).
Vertical angles are opposite one another.Supplementary angles add up to 180º = 40 degrees + 140 degrees = 180 degrees. Adjacent and Supplementary Angles = 120 + 60 = 180 degreesAdjacent angles are “side by side” and share a common ray. 130 degrees and 50 degrees.Complementary angles add up to 90º. = 60 degrees + 30 degrees = 90 degrees.

Personal Finance is a dead group.

How does the availability of credit in a community affect the housing market there?

The availability of credit has no affect on the housing market.

The less credit available, the higher the cost of housing.

The availability of credit determines whether or not people put their homes up for sale.

The more credit available, the higher the cost of housing.,

Answers

The answer is the more credit available, the higher the cost of housing. As more people are able to afford housing, it will increase the demand for housing. Since the supply of housing is largely stable in the short-term, this will cause higher housing costs.

A simple question I can't answer thnks yall

Answers

the factors would be (x-1)(9x+7)

so the answer would be A

Dyann takes a bus to work every day. On Monday the trip took 34 minutes. On Tuesday the trip took 36 minutes. On Wednesday the trip took 35 minutes. On Thursday the trip took 34 minutes. Dyann determines that the trip to work on Friday will take about 35 minutes.

Does her conclusion use inductive, or deductive reasoning?

Answers

Answer:

inductive reasoning

In this question, the conclusion is that the trip to work on Friday will take about 3535 minutes. This conclusion is based on observation of specific examples instead of scientific research.

Therefore, the type of reasoning used is inductive reasoning.

What is the quotient of 78.3 ÷ 3.48?

Answers

The answer is 22.5. I hope this helps you.

Good luck with your work!

Which of the following expression expressions is equivalent to cos3x/sinxcosx?

A.) cscxcos2x-secxsin2x
B.) secxcos2x-cscxsin2x
C.) secxcosx-cscxsinx
D.) cscxcosx-secxsinx

Answers

Answer:

A.) cscxcos2x-secxsin2x

Step-by-step explanation:

I'm sorry I really do not know how to solve this but I just did the quiz and b was not correct.

Final answer:

To find an expression equivalent to cos3x/sinxcosx, we use trigonometric identities and simplification to arrive at cscx - secx. Option D, cscx cosx - secx sinx, when expanded and simplified, is equivalent to cscx - secx, thus it is the correct answer.

Explanation:

The question asks us to find an expression equivalent to cos3x/sinxcosx. To start, let's simplify the given expression using trigonometric identities.

We can write cos3x as cos(2x+x), which by using the angle addition formula for cosine gives us cos(2x+x) = cos2x cosx - sin2x sinx. Now our expression looks like this: (cos2x cosx - sin2x sinx) / (sinx cosx).

The next step is to split the numerator to have two separate fractions: cos2x/sinx - sin2x/cosx. We can then recognize that cos2x/sinx is equivalent to 1/sinx or cscx, and -sin2x/cosx is equivalent to -1/cosx or -secx. Therefore, the equivalent expression is cscx - secx.

Comparing this result to the options given, option D, cscx cosx - secx sinx, expands to 1/sinx × 1 - 1/cosx × sinx, which can be simplified to cscx - secx. Thus, option D is the correct answer.

At Devon's new job he spent $12.99, $10.50, $9.89, $6.90, and $7.58 on lunch the first week.

In the second week, he spent $2 more in total for the 5 lunches than the first week.

What is the increase in the mean for the second week compared to the first?

Round the answer to the nearest penny.

Enter your answer in the box.

$

Answers

The correct answer is:

$0.40.

Explanation:

To find the mean of the lunch costs for the first week, we first add together all of the amounts he spent on lunch that week:

$12.99+$10.50+$9.89+$6.90+$7.58 = $47.86.

Now we divide this by the number of lunches, 5:
47.86/5 = $9.572 ≈ $9.57.

The second week he spends a total of $2 more on lunch. Adding this to the first week's total, we have:
47.86+2 = $49.86.

To find the mean, we divide this by the number of lunches in the second week, 5:
49.86/5 = $9.972 ≈ $9.97.

The mean increased from the first week to the second week by 9.97-9.57 = $0.40.

The increase in the mean for the second week compared to the first with the given parameters is; $0.40

What is the average increase?

Let us first find the mean of the lunch costs for the first week;

Mean for first week = ($12.99 + $10.50 + $9.89 + $6.90 + $7.58)/5 = $9.572

We are told that he spends a total of $2 more on lunch in the second week.

Second week total = $12.99 + $10.50 + $9.89 + $6.90 + $7.58 + $2 = $49.86.

Mean of second week = 49.86/5 = $9.972

The increase in the mean for the second week compared to the first is;

9.972 - 9.572 = $0.40

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which value is a solution of the equation 2-8x=-6 ? ( 1point )

A. 1

B. 1/2

c. -1

d. 8,

Answers

Here the given equation is : 2-8x= -6 By bring -6 on the Left Hand size and taking 8x on the Right Hand side, the equation become. 2+6= 8X 8= 8X X=8/8 X=1 Hence value of X is 1. Hence correct option is A.

PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER

Answers

A(n) = 50 x (0.52)n-1; 13.52 cm

Please help asap!!! 19 pts

Answers

the correct answer is b

The areas of two similar octagons are 112 in.² and 63 in.². What is the ratio (larger to smaller) of their perimeters?
16/3
4/9
16/9
4/3,

Answers

When the figures are similar, we have by definition:
For the area:
A1 = (k ^ 2) * A2
For the perimeter
P1 = k * P2
Note: The factor k is the same in both cases
Where,
k = growth factor (k> 1) or reduction (k <1)
Substituting values we have:
12 = (k ^ 2) * 63
Let's clear k:
k = root (112/63)
k = 4/3
Answer:
The ratio (larger to smaller) of their perimeters is:
k = 4/3

The answer is k = 4/3You have to consider the definition of "k"
k = growth factor (k> 1) or reduction (k <1)

Area1= (k ^ 2) * Area2Perimeter1 = k * Perimeter2
Substitute: 12 = (k ^ 2) * 63 k = sqaure root (112/63) k = 4/3

How many triangles exist with the given angle measures? 32°, 51°, 97°

Answers

For each triangle sum of it's angles must add to 180°.
We need to check if these angles satisfy that condition:
32°+51°+97°=180°

They do satisfy. Now we check if any angle has value that is not possible.
32° and 51° angles are OK.
97° angle is also OK. It is obtuse angle.

For each angle measures exactly one triangle exists. In this example we have an obtuse-angle triangle.

The correct answer is 1.

To determine if a set of three angles can form a triangle, we need to check if the sum of the three angles is equal to 180°. If the sum is 180°, then the angles can form a triangle; otherwise, they cannot form a triangle.

Given angles: 32°, 51°, 97°

we can represent the calculation as follows:

[tex]\text{Sum of the given angles} &= 32^\circ + 51^\circ + 97^\circ&= 180^\circ[/tex]

Since the sum of the three given angles is equal to 180°, these angles can form a triangle.

To determine the number of triangles that exist with these angle measures, we need to consider the permutations of the angles. Since the order of the angles does not matter in a triangle, we have:

[tex]\text{Number of triangles} = \frac{3!}{3} = 1[/tex]

Therefore, there exists only one triangle with the given angle measures of 32°, 51°, and 97°.

Explain why increasing the sample size tends to result in a smaller sampling error when a sample mean is used to estimate a population mean.

A. The above statement is incorrect, the sample size has no effect on the sampling error.
B. The larger the sample size, the more closely the possible values of \bar{x} cluster around the mean of \bar{x}
C. If the sample size is larger, the possible values of \bar{x} are farther from the mean of \bar{x},

Answers

B is the correct answer. The more values or samples you are able to add, the closer you come to approximating real life (although that is impossible) because you are more likely to have a cluster of values around the mean.

Sampling error is inversely proportional to the sample size which means if the sample size increases the sampling error decreases. Then option B is correct.

What is sampling error?

The amount of inaccuracy in the estimating value appears due to the smaller sample size.

The sample size tends to result in a smaller sampling error when a sample mean is used to estimate a population mean.

We know that the formula of the sampling error

[tex]\rm Sampling \ error = z \times \dfrac{\sigma}{\sqrt{n}}[/tex]

Sampling error is inversely proportional to the sample size which means if the sample size increases the sampling error decreases.

More about the sampling error link is given below.

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PLEASE HELP ME ON THIS

BRAINLIEST AVAILABLE IF YOU ANSWER CORRECTLY

Answers

To know if the change is exponential, we only need to calculate the ratio between rent of each year with the preceding year.
The ratios are, for Beverly:
1.0171.0321.0541.058
for Lowell
1.051.051.051.05
So obviously Beverly is not exponential and Lowell is.

In Mr. Sheldon’s physical education class, each student plays at most 1 sport.
A total of 20 students play soccer or basketball.
Given that 1/3 of the students play soccer, and 8 play basketball, how many students in Mr. Sheldon’s class play neither soccer nor basketball?

I have no idea how to calculate. I will reward the right answer along with explanation of how it was figured. (I attached a pic of the multiple choices) Thanks!

Answers

20 students play soccer or basketball and 8 students play basketball, then 20-8=12 students play soccer.

Given that 1/3 of the students play soccer you can conclude that 1\3 is equal 12 student, then in class totally are 12*3=36 students.

36-20=16 students play neither soccer nor basketball

Answer: Correct choice is B.

40 POINTS! + BRAINLIEST

What is the measure in radians for the central angle of a circle whose radius is 6 cm and intercept arc length is 5.4 cm?

Make sure to show all calculations.

Answers

6.5555555555555555555

Answer:

6.5

Step-by-step explanation:

1. calculate using the equation

prove this trigonometric equation;

- tan^2x + sec^2x = 1,

Answers

Hey there :)

- tan²x + sec²x = 1 or 1 + tan²x = sec²x

sin²x + cos²x = 1
Divide the whole by cos²x

[tex] \frac{sin^2x}{cos^2x} + \frac{cos^2x}{cos^2x} = \frac{1}{cos^2x} [/tex]

[tex] \frac{sinx}{cosx} = tanx[/tex] so [tex] \frac{sin^2x}{cos^2x} = tan^2x[/tex]
and
[tex] \frac{1}{cosx} = secx [/tex] so [tex] \frac{1}{cos^2x} = sec^2x[/tex]

Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}

1 = - tan²x = sec²x or sec²x - tanx = 1

Read the word problem. Hershel buys 5 bags of cookies, 3 bags of granola, and several bags of fruit snacks from a bake sale. In total, he buys 10 bags from the bake sale. How many bags of fruit snacks did Hershel buy? Which type of word problem is shown? part-whole comparison multiplication division

Answers

Final answer:

Hershel bought 2 bags of fruit snacks in a part-whole comparison word problem, where the total (10 bags) minus the sum of known parts (5 bags of cookies and 3 bags of granola) equals the unknown part.

Explanation:

The word problem presented asks how many bags of fruit snacks Hershel bought if he bought a total of 10 bags, including 5 bags of cookies and 3 bags of granola. To solve this, we subtract the known quantities from the total: 10 total bags - 5 bags of cookies - 3 bags of granola = 2 bags of fruit snacks.

The type of word problem shown is a part-whole comparison because it involves figuring out a missing part of a whole based on the other known parts.

Domain -1,4,5,3,-5 Range n,w,y,n,w is this a function

Answers

Short answer yes.
If you apply the vertical line test, none of the xs have 2 ys. It does not matter if 2 xs have the same y value.

Other Questions

1. Read the case study below and choose the best possible answer to the following questions.Tinas daily planner is filled in completely from 6:00 a.m. to 1:30 or 2:00 a.m. every day. This schedule is not an exaggeration. Tina commutes 75 minutes each way to attend classes. She is a single mother studying to become a pharmacist; her son and daughter are both in elementary school and are active in athletics, scouts, and church activities. Tina works full-time to support her family and pay for school. She is taking 15 credit hours, including a laboratory science. Tina is feeling so stressed out that she is afraid she will never make it to final exams.1. Which of these strategies is the best option to help Tina to use her time more effectively?Set more aggressive study goals in order to get more school work doneCut back on the number of hours she works each weekStudy while attending her daughters softball gameListen to recorded notes while commuting to and from school2. According to Tinas schedule for next week, her study group is meeting on Tuesday evening to study for a Sociology exam in two weeks, she has a quiz in her History class on Tuesday, and she has a paper due for her Political Science class on Friday. There is also a pharmaceutical networking event on Monday evening that she would like to attend, with the hope of making some connections that might help her to get a job when she graduates in a few years. What should Tinas highest priority be on Monday night?Working on her political science paperAttending the networking eventStudying for her history quizPreparing for her meeting with her sociology study group3. Tina works at her job from 8:00 a.m. to 4:00 p.m. every Monday, Wednesday, and Friday, and from 5:00 p.m. to 11:00 p.m. every Tuesday and Thursday. What should Tina do when scheduling classes for the next term?Try to schedule all of her classes for Tuesday and Thursday mornings and afternoonsSign up for evening classes on Tuesday and Thursday and earlier classes on Monday, Wednesday, and FridaySign up for earlier classes on Tuesday and Thursday and evening classes on Monday, Wednesday, and FridayTry to schedule all of her classes for Monday, Wednesday, and Friday evenings Which of the following describes a correct method for finding the sum -7/2+3/4A. Write the sum of the numerators over the sum of the denominators. Simplify.B. Rewrite using the LCD. Write the sum of the numerators over the sum of the denominators. SimplifyC. Rewrite Using the LCD. Write the sum of the numerators over the common denominator. SimplifyD. Rewrite using the LCD. Write the difference of the numerators over the common denominator. SImplify For which k will the graph of f(x)=x^2kx+k^2 cross the x-axis twice? True or False? (will medal/fan)An immune system that does not function properly could prevent an animal from maintaining homeostasis by allowing the animal to become sick., What was the Quasi War? In carrying out a study on views of capital punishment, a student asked a question the two ways shown below. complete parts a throughc. 1. with persuasion: "my brother has been accused of murder and he is innocent. if he is found guilty, he might suffer capital punishment. now do you support or oppose capital punishment?" 2. without persuasion: "do you support or oppose capital punishment?" When you have a long list of things to do, what tasks should you make a priority?Tasks that help you reach your goals Tasks that require the lowest time commitment Tasks and activities that cost the most Tasks and activities that require the least effort Which equation is in standard form and represents a line with slope 5 through the point (0, 2)? What is the perimeter of 10 and 12? tom works for a manufacturing plant and makes $7.00 per hour. Last week he worked 49 hours.for the hours above 40,he receives time-and-a-half. what did tom earn last week? If Thomas wants a volume of 12 in3, what size does the cutout need to be? What would be the dimensions of this box? A cone-shaped hole is drilled into a solid cube of metal as shown. If the cube has sides of length 9 cm, what is the volume of the metal after the hole is drilled? Let 3.14 and round your answer to the nearest tenth. Write the quadratic equation y= x^2 -6x + 7 in vertex form tan(x+pi/2)= negative cot x Identify one external physical feature of the manatee that allows it to live in water. 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Quadrants I and III Siberia is most valuable to Russia because it has _____. seaports that are free of ice all year fertile soil and a mild climate that are ideal for agriculture an abundance of natural resources a very high population density