The population of retired citizens in Minneapolis is 86700. If the population increases at a rate of 8.9% each year. What will the population of retirees be in 7 years? Write an exponential growth model for the future population P(x) where r is in years: P(x) = What will the population be in 7 years? (Round to nearest person)​

Answers

Answer 1

Answer:

157,476 people

Step-by-step explanation:

the formula :

P(x) = 86700. (1+ 0.089)^r

for r = 7

=> P(x) = 86700 × (1+ 0.089)^7

= 86700 × (1.089)^7

= 86700 × 1.8163

= 157,476 people


Related Questions

Megan and Suzanne each have a plant. They track the growth of their plants for four weeks.
Whose plant grew at a faster rate, and what was the rate?

Suzanne’s at 2 inches per week
Suzanne’s at 1.5 inches per week
Megan’s at 3 inches per week
Megan’s at 2.5 inches per week

Answers

Answer:

Megan’s at 2.5 inches per week

I really need the help please and thank you

Answers

Answer:

B.  [tex]f^{-1}(x)=\frac{x-4}{5}[/tex]

Step-by-step explanation:

To find the inverse of a function/equation:

Replace f(x) with y: y=5x+4 Switch x and y: x=5y+4 Solve for y: x-4=5y   ->    [tex]y=\frac{x-4}{5}[/tex]Write in standard inverse notation: [tex]f^{-1}(x)=\frac{x-4}{5}[/tex]

I hope this helps!!

gl!

Suppose you believe that the true average daily trade volume for General Electric stock is 49,829,719 shares and a standard deviation of 21,059,637 shares. Considering a 95% confidence level: What is the minimum required sample size if you would like your sampling error to be limited to 1,000,000 shares

Answers

Answer:

The minimum sample size is 1,704.

Step-by-step explanation:

We have to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a p-value of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation of 21,059,637 shares

This means that [tex]\sigma = 21059637[/tex]

What is the minimum required sample size if you would like your sampling error to be limited to 1,000,000 shares?

This is n for which [tex]M = 1000000[/tex], so:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]1000000 = 1.96\frac{21059637}{\sqrt{n}}[/tex]

[tex]1000000\sqrt{n} = 1.96*21059637[/tex]

[tex]\sqrt{n} = \frac{1.96*21059637}{1000000}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*21059637}{1000000})^2[/tex]

[tex]n = 1703.8[/tex]

Rounding up:

The minimum sample size is 1,704.

Laura, Scott, and Joe served a total of 104
orders Monday at the school cafeteria. Joe served 3
times as many orders as Scott. Laura served 9
more orders than Scott. How many orders did they each serve?

Answers

9514 1404 393

Answer:

Joe: 57Scott: 19Laura: 28

Step-by-step explanation:

Let s represent the number of orders Scott served. Then we have Joe served 3s, and Laura served (s+9). The total of orders served is ...

  3s +s +(s +9) = 104

  5s = 95 . . . . . . . . . . . subtract 9 and collect terms

  s = 19 . . . . . . . . . divide by 5

  3s = 3×19 = 57

  s+9 = 19+9 = 28

Joe served 57 orders, Scott served 19, and Laura served 28 orders.

Help please! Thanks!
Find the length of the segment indicated.
A. 3.1
B. 3.9
C. 3.4
D. 3.8

Answers

Answer:

C

Step-by-step explanation:

using the theorem of Pythagoras

x = sqrt * 10.2^2 - 9.6^2 *

using the calculator

x = 3.4 units

rounded to 1 decimal place

A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%. The test statistic is a.1.44. b.1.25. c..95. d..80.

Answers

Answer:

a. 1.44

Step-by-step explanation:

We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%.

At the null hypothesis, it is tested if the proportion is of at most 40%, that is:

[tex]H_0: p \leq 0.4[/tex]

At the alternative hypothesis, it is tested if the proportion is of more than 40%, that is:

[tex]H_1: p > 0.4[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that [tex]p = 0.4, \sigma = \sqrt{0.4*0.6}[/tex]

A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A.

This means that:

[tex]n = 200, X = \frac{90}{200} = 0.45[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.45 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}[/tex]

[tex]z = 1.44[/tex]

Thus the correct answer is given by option a.

1000 randomly selected Americans were asked if they believed the minimum
wage should be raised. 600 said "yes." What is the 99% confidence interval
for the proportion of Americans who believe that the minimum wage should
be raised?

Answers

Answer:i dont now

Step-by-step explanation:

giả sử tỷ lẹ bệnh nhân tại 1 thành phố là a%
khám ngẫu nhiên b người tại thành phố này tính khả năng 2B + A người có bệnh

Answers

Answer:

ask in English then I can help u

How old will be her brother in five years ?? When Mona was 10, her brother was half her age. If Mona is 57 now, how old will be her brother in 5 years?​

Answers

Answer:

57

Step-by-step explanation:

When mona was 10, her brother was half her age, so he was 5 years old.

That means that Mona is 5 years older than her brother

If mona is 57, that means that her brother is 52 years

5 years later is 52+7 so her brother will be 57

Need help with this- Precalculus

Answers

use x^2 when x=0 because the restriction for it is "use x if x is less than or equal to 1"

when x = 0, (0)^2 will make f(x) = 0

the graph of f(x) will just be a dot at 0

In the accompanying diagram, ΔA′B′C′ is the image of ΔABC. Which type of transformation is shown in the illustration?

A. rotation
B. translation
C. reflection
D. dilation

Answers

Answer:

Reflection

Step-by-step explanation:

It is the opposite of the first,...

What function type does the table of values represent?

Answers

Answer:

Quadratic

Step-by-step explanation:

Answer:

Linear

Step-by-step explanation:

for every one unit increase in x, there is a 3 unit increase in y

The slope of the plot line would be 3

The y intercept of the plot line would be -1

y = 3x - 1

5x^2-4x=6

Solve for X.

Answers

Answer:

x= (2+ √ 34) /5 , (2- √ 34) /5

decimal form= 1.566

Step-by-step explanation:

Find x so that the points (x,x+1), (x+2,x+3) and (x+3,2x+4) form a right-angled triangle.

Answers

Let a, b, and c be vectors each starting at the origin and terminating at the points (x, x + 1), (x + 2, x + 3), and (x + 3, 2x + 4), respectively.

Then the vectors a - b, a - c, and b - c are vectors that point in directions parallel to each of the legs formed by the triangle with these points as its vertices.

If this triangle is to contain a right angle, then exactly one of these pairs of vectors must be orthogonal. In other words, one of the following must be true:

(a - b) • (a - c) = 0

or

(a - b) • (b - c) = 0

or

(a - c) • (b - c) = 0

We have

a - b = (x, x + 1) - (x + 2, x + 3) = (-2, -2)

a - c = (x, x + 1) - (x + 3, 2x + 4) = (-3, -x - 3)

b - c = (x + 2, x + 3) - (x + 3, 2x + 4) = (-1, -x - 1)

Case 1: If (a - b) • (a - c) = 0, then

(-2, -2) • (-3, -x - 3) = (-2)×(-3) + (-2)×(-x - 3) = 2x + 12 = 0   ==>   x = -6

which would make a - c = (-3, 3) and b - c = (-1, 5), and their dot product is not zero. Then the triangles vertices are at the points (-6, -5), (-4, -3), and (-3, -8).

Case 2: If (a - b) • (b - c) = 0, then

(-2, -2) • (-1, -x - 1) = (-2)×(-1) + (-2)×(-x - 1) = 2x + 4 = 0   ==>   x = -2

which would make a - c = (-3, -1) and b = (-1, 1), and their dot product is also not zero. The vertices are the points (-2, -1), (0, 1), and (1, 0).

Case 3: If (a - c) • (b - c) = 0, then

(-3, -x - 3) • (-1, -x - 1) = (-3)×(-1) + (-x - 3)×(-x - 1) = x ² + 4x + 6 = 0

but the solutions to x here are non-real, so we throw out this case.

So there are two possible values of x that make a right triangle, x = -6 and x = -2.

Suppose a restaurant offers the following prix fixe menu:

Main course: prime rib, steak, chicken, filet of sole, shrimp

Side dish: soup, salad, crab cakes

Dessert: cheesecake, chocolate chip delight, ice cream.

Beverage: coffee, tea, milk

In how many ways can someone order a meal consisting of one choice from each category?

Answers

There are 135 ways someone can order a meal consisting of one choice from each category.

Permutation and combination

To find the total number of ways someone can order a meal consisting of one choice from each category, we need to multiply the number of options in each category:

Number of options for the main course = 5

Number of options for the side dish = 3

Number of options for the dessert = 3

Number of options for the beverage = 3

Using the multiplication principle, the total number of ways to order a meal is:

5 x 3 x 3 x 3 = 135

Therefore, there are 135 ways someone can order a meal consisting of one choice from each category.

More on permutation can be found here: https://brainly.com/question/30557698

#SPJ1

Simplify 13 x - 4[ x + (3 - x )].
A.9x-1
B.8x-12
C.13x-12

Answers

13x - 4[x + (3 - x)] =

= 13x - 4(x + 3 - x) =

= 13x - 4 · 3 = 13x - 12

C.

Answer:

13x -12

Step-by-step explanation:

13 x - 4[ x + (3 - x )].

Combine like terms inside the brackets

13 x - 4[ 3 -0x]

13x - 4[3]

Multiply

13x -12

Please tell me answer not by directly step by step please don't write answer only please please please

Answers

y + z + r + x = 360

2x + 3x + 4x + x = 360

10x = 360

x = 360/10

x = 36

Now

x = 36

y = 72

z = 108

r = 144

Answered by Gauthmath must click thanks and mark brainliest

find the slope of a line perpendicular to each given line number 11

Answers

Answer:

Slope = 5

Step-by-step explanation:

To find the slope of a line perpendicular to a given line, take the opposite reciprocal of the given line's slope.

Ex. -1/5 ⇒ 5

Opposite = opposite sign (- ⇒ +)

Reciprocal = numerator and denominator flipped (1/5 ⇒ 5/1 = 5)

For the function f(x) = x^2 + 4x -5 solve the following f(x)=0

Answers

That's a question about quadratic function.

Any quadratic function can be represented by the following form:

[tex]\boxed{f(x)=ax^2+bx+c}[/tex]

Example:

[tex]f(x)= -3x^2-9x+57[/tex] is a function where [tex]a=-3[/tex], [tex]b=-9[/tex] and [tex]c=57[/tex].

Okay, in our problem, we need to find the value of x when [tex]f(x)=0[/tex]. That's mean that the result of our function is equal to zero. Therefore, we have the quadratic equation below:

[tex]x^2+4x-5=0[/tex]

To solve a quadratic equation, we use the Bhaskara's formula. Do you remember the value of a, b and c? They going to be important right now. This is the Bhaskara's formula:

[tex]\boxed{x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} }[/tex]

So, let's see the values of a, b and c in our equation and apply them in the Bhaskara's formula:

In [tex]x^2+4x-5=0[/tex] equation, [tex]a=1[/tex], [tex]b=4[/tex] and [tex]c=-5[/tex]. Let's replace those values:

[tex]x=\frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-4\pm \sqrt{4^2-4\times1\times(-5)} }{2\cdot1}[/tex]

[tex]x=\frac{-4\pm \sqrt{16-(-20)} }{2}[/tex]

[tex]x=\frac{-4\pm \sqrt{16 + 20)} }{2}[/tex]

[tex]x=\frac{-4\pm \sqrt{36} }{2}[/tex]

[tex]x=\frac{-4\pm 6 }{2}[/tex]

From now, we have two possibilities:

To add:

[tex]x_1 = \frac{-4+6}{2} \\x_1=\frac{2}{2} \\x_1=1[/tex]

To subtract:

[tex]x_2=\frac{-4-6}{2} \\x_2=\frac{-10}{2} \\x_2=-5[/tex]

Therefore, the result of our problem is: [tex]x_1 = 1[/tex] and [tex]x_2=-5[/tex].

I hope I've helped. ^^

Enjoy your studies.  \o/

find the length of the arc. round your answer to nearest tenth

Answers

41.9 mi

Step-by-step explanation:

First, we convert the angle from degree measure to radian measure:

[tex]\theta = 240°×\left(\dfrac{\pi}{180°}\right)= \dfrac{4\pi}{3}\:\text{rad}[/tex]

Using the definition of an arc length [tex]s[/tex]

[tex]s = r\theta[/tex]

[tex]\:\:\:\:=(10\:\text{mi})\left(\dfrac{4\pi}{3}\:\text{rad}\right)[/tex]

[tex]\:\:\:\:= 41.9\:\text{mi}[/tex]

Convert 4.206 m into mm

Answers

Answer:

4206 is the answer of this question

Answer:

I think it will help you a lot.

They are 10 ice cream flavors, 5 different toppings and it could be either in cup or in cone, how many 2-scoop combinations are possible?

Answers

Using the fundamental counting principle, it is found that: 50 2-scoop combinations are possible.

----------------------------------

The flavors and the toppings are independent, which means that the fundamental counting principle is used to solve this question, which states that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

----------------------------------

In this question:

10 ice cream flavors.5 toppings.

So,

[tex]10 \times 5 = 50[/tex]

50 2-scoop combinations are possible.

A similar question is found at https://brainly.com/question/24067651

Karen purchased 3 gallons of yellow paint and 4 gallons on blue paint from the hardware store. The total cost was $105. Yellow paint
and blue paint sell for the same price per gallon. Which THREE statements are correct?


A) 7x = the total cost

B)The price per gallon is $7.

C)3x + 4x = 105 models Karen's purchase

D)(3x)(4x) - 105 models Karen's purchase

E) 3x + 4x = (total gallons)(price per gallon)
yeah

Answers

Answer:

Since Both the Blue and Yellow cost the same..

Represent the cost per gallon with x

4 gallons of Blue would cost 4x

3 gallons of Yellow would cost 3x

Total cost = $105

Therefore

4x + 3x = 105 Is a correct statement.

7x = 105 Is also another correct statement.

These two are the only correct statements I'm seeing there.

Option B is Incorrect because Price per gallon is

105/7 = $15.

D is wrong by simple Logic.

E is also wrong.

Check the Question you typed to see if You made any Errors...

If I'm wrong also... By all Means...Correct Me.

Have a great day!

Find the surface area of the prism

Answers

Answer:

376

Step-by-step explanation:

Area Prism=2(lw+wh+lh)=2(8*6+8*10+6*10)=376

Find the missing length in the image below

Answers

Let it be x

Using basic proportionality theorem

[tex]\\ \sf\longmapsto \dfrac{x}{10}=\dfrac{14}{7}[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{10}=2[/tex]

[tex]\\ \sf\longmapsto x=10(2)[/tex]

[tex]\\ \sf\longmapsto x=20[/tex]

Write the greatest and smallest number of 8 suing following digits. 1,2,3,4,5,6,7,8

Answers

Answer:

Not very sure what you mean,

But in the provided set, 8 is the greatest number, and 1 is the smallest.

Hope this helps!!

What is the future value of $500 to be received 3 years from now if the discount rate is 10%?

Answers

i’m pretty sure it’s $350

Find the slope and the y-intercept of the line. 3x -4y = -12

Answers

[tex]\\ \sf\longmapsto 3x-4y=-12[/tex]

Convert to y=mx+b form

[tex]\\ \sf\longmapsto 3x+12=4y[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{3x+12}{4}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{3}{4}x+\dfrac{12}{4)[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{3}{4}+3[/tex]

Slope=3/4

Trong một lớp học có $35$ sinh viên nói được tiếng Anh, $25$ sinh viên nói được tiếng Nhật trong đó có $10$ sinh viên nói được cả tiếng Anh và tiếng Nhật. Mỗi sinh viên trong lớp nói được ít nhất một trong hai: tiếng Anh hoặc tiếng Nhật. Hỏi sỹ số của lớp là bao nhiêu

Answers

Answer:

please write this question in English then I give answer

find the measure of y

Answers

Answer:

Step-by-step explanation:

x = 90°-47° = 43°

y = x = 43°

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The quantity of milk consumed in five households in a week is 10L.12.13 L. 11 L and14 L Find the mean weekly consumption of milk by these bouseholds. Also find the numberof households whose consumption is more than the mean weekly consumption how do you give cpr? PLEASE HELP ASAPBarney was a very inventive scientist and tried to perform the same experiments as those by famous scientists from long ago. One of the most challenging experiments was to roll out a very thin film of gold and put X-ray film in a circle around it. The difficult part was to get ahold of some radioactivity that he could shoot at the thin film for gold. One day, he ran into The Great Gazoo and told him his goal. The Great Gazoo said he had the perfect substance for him that was radioactive and should work. The element was named after him and had the symbol Gz. Barney quickly went back to his lab to run the experiment. What Barney noticed is that all the radioactive particles went through the gold film and none of them ricocheted back, but all went straight through the gold. Being puzzled, he quickly went to the lab to analyze this unknown radioactive substance. He found that the atomic number was 119, the mass number was 305. After a few more tests, Barney realized what was wrong with Gz. Your task is to figure out what was wrong with Gz by answering the following questions:Whose experiment was Barney trying to imitate?Where would Gz be located on Earths periodic table, column and row?Give as many details on Gz that you could predict based on its location on the periodic table: type of chemical (metal, metalloid, or nonmetal), reactivity, ionization energy, electronegativity, and size of element.What would the elements electron configuration end in?Why did all the radioactive particles go straight through the gold film?What would the daughter product be for Gz? Give all details for the atomic number, mass number, number of protons, neutrons and electrons.If Gz had worked correctly, like Barney intended, what type of decay should Gz have had?If Gz had worked correctly, what would the daughter product be? Give all details for the atomic number, mass number, number of protons, neutrons and electrons.If Gz had worked correctly, what element would it become? Find a if ZB = 25, ZC = 48, AC = 5. You have a portfolio that is 29 percent invested in Stock R, 12 percent invested in Stock S, with the remainder in Stock T. The expected return on these stocks is 9.8 percent, 11.2 percent, and 13.5 percent, respectively. What is the expected return on the portfolio Which of the following are examples of single replacement reactions? Select all that apply. The third if may is One of the greatest testament to the ___ ever painted Emotional use of tenebrism Horrors of warGlory of warCivic dutyWILL GIVE BRAINLIEST In one of the case studies in the textbook, Jerry Harkanell worked as an administrative assistant for a large San Antonio hospital, where his clerical duties included the submission of the payroll information for his unit. He found that he could add hours to the timesheets and receive extra pay. He continued to alter his timesheets until he was finally caught. What red flag was present that should have made someone suspicious Changing which of the following can reduce anger?A)diet B) Sleeping scheduleC)Communication styleD)Stimuli causing the anger How to write this sum 24,6 in expanded notation Find the measure of the missing angles. Temperature is measured in degrees C whereas heat is measured inJmtq If theres not enough water in the place, just move people out. Is it a good idea? Explain your answer? Using examples that President Obama (the senator Obama) used in the video clip, how does the War Powers Act depict the principle of checks and balances? find the angle measures given the figure is a rhombus. Help with this Area question describe how thin layer chromatography is used in the isolation and extraction of lipids We have that 2a+1=1 and b-a=1. What is the value of b? what weight is recorded by a scale when it is placed inside a lift which is in free fall? Enplain. Two streams merge to form a river. One stream has a width of 8.3 m, depth of 3.2 m, and current speed of 2.2 m/s. The other stream is 6.8 m wide and 3.2 m deep, and flows at 2.4 m/s. If the river has width 10.4 m and speed 2.8 m/s, what is its depth?