In 2000, the population of a district was 32,600. With a continuous annual growth rate of approximately 2%, what will the
population be in 2010 according to the exponential growth function?
Round the answer to the nearest whole number

Answers

Answer 1

Answer:

39,739

Step-by-step explanation:

The formula for exponential growth regarding this situation would be y=32600(1+0.02)^10, because 32600 is our initial amount, 1.02 is our growth rate, and 10 is the number of years. after putting it into a calculator you get 39.739.


Related Questions

Write an expression for the area of each section of the wall.
***NOTE, that x is the TOTAL length of the rectangle so you can't call x the length of each of the 5 sections.

Answers

Answer:

50

Step-by-step explanation:

10*5=50

The height of a triangle is 7 inches greater than the base. The area of the triangle is 225 square inches. Find the length of the base and the height of the triangle.

Answers

Answer:

Height is 25in

Base is 18in

Step-by-step explanation:

225=[x*(x+7)]/2=[x^2+7x]/2

450=x^2+7x

x^2+7x-450=0

(x+25)(x-18)=0

A consumer agency is interested in examining whether there is a difference in two common sealant products used to waterproof residential backyard decks. With cooperation of several builders in the area, they randomly assign 38 newly constructed decks to be treated with Very Clear deck sealant and another 37 newly constructed decks to be treated with Sure Seal deck sealant. After one year of being exposed to similar weather conditions, the decks are rated on a scale of 1 to 100. The mean rating for the decks treated with Very Clear is 89.2 with a standard deviation of 3.1. The mean rating for the decks treated with Sure Seal is 92.4 with a standard deviation of 3.8.

Required:
What represents the 90 percent confidence interval to estimate the difference (Very Clear minus Sure Seal) in mean ratings for the two deck sealants?

Answers

Answer:

(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)

Step-by-step explanation:

Very clear deck :

n1 = 38

x1 = 89.2

s1 = 3.1

Sure seal

n2 = 37

x2 = 92.4

s2 = 3.8

Confidence interval for difference in sample means :

(X1 - X2) ± margin of error

(X1 - X2) ± Tcritical * sqrt(s1²/n1 + s2²/n2))

Using the degree of freedom calculator ; df = 70

Margin of Error : Tcritical * sqrt(s1²/n1 + s2²/n2))

Tcritical at 90% confidence interval, df = 70 = 1.688

Margin of Error = 1.666 * sqrt(3.1²/38 + 3.8²/37)

Confidence interval :

(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)

What's the circumference of a
circle with a diameter of 9 inches?
Use 3.14 for n.

Answers

Answer:

28.26 in

Step-by-step explanation:

Radius = (1/2) diameter

Radius = (1/2)(9)

Radius = 4.5 in

Circumference = 2πr

Circumference = 2(3.14)(4.5)

Circumference = 28.26 in

16ft by 24ft what is the are?

Answers

I’m assuming you’re talking about area...

16ft x 24ft = 384ft

Can someone please help me I will mark u brilliant

Answers

Answer:

I believe the answer is 3 3/4.

Step-by-step explanation:

the volume of a rectangular prism is length × width × height

Answer: The volume is 3 3/4 cubic inches.

Step-by-step explanation:

V= l*w*h

V= 1 1/4* 1 1/2*2

v= 3 3/4

Your weekly allowance is $15. You spent 30% How much did you spend?

Answers

Answer:

You would have spent $4.50

Step-by-step explanation: Divide 100 by 30 and multiply to 15. So it will look like: 30/100*15= $4.50. I hope this helps


If a fraction is equal to 2/9
and the sum of the numerator and denominator is 99, what is the fraction?

Answers

Answer:

18/81

Step-by-step explanation:

the current fraction adds up to 11 so to get 99 you would need to multiply both the numerator and the denominator by 9 to get a sum of 99

so 2 x 9 = 18 and 9 x 9 =81

so answer is 18/81

i need help with this math question

Answers

Answer:

it is S

Step-by-step explanation:

because it is being reflected on the X-axis

Answer:

point R

Step-by-step explanation:

If you move point R across the x-axis, and then up the y-axis, you meet point Q

An unknown number y is 12 more than an unknown number x. The number y is also x less than 17. The equations to find x and y are shown below.

y = x + 12
y = −x + 17

Which of the following statements is a correct step to find x and y? (4 points)

a
Multiply the equations to eliminate y.

b
Write the points where the graphs of the equations intersect the x-axis.

c
Write the points where the graphs of the equations intersect the y-axis.

d
Add the equations to eliminate x.

Answers

Answer:

d because then you can solve for y then use your answer to find x

Answer:

the answer is D even tho you asked a month ago i figured i can still answer

Step-by-step explanation:

what fraction belongs in the box?

l_i_i_i_i_l_i_i_i_i_l_i_i_i_i_l_i_i_i_i_l_i_i_i_i_l___
0 1 2 3 4
*box

Answers

ANSWER:

Does not have enough information

WHY:

Because it is a bunch of i

helpppp meeee! pleaseeee!​

Answers

Answer:

9

11

17

25

Step-by-step explanation:

Input the x into the equation

Answer:

2×2+5=9

2×3+5=11

2×6+5=17

2×10+5=25

Tara has 4 and 4 over 5 feet of rope.

Part A: How many 2 over 5 foot pieces can Tara cut from the 4 and 4 over 5 feet of rope? Show your work. (5 points)

Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given. (5 points)
I already got part a correct but I need help with part b, I don't understand it cause I'm d u m b pls help

Answers

9514 1404 393

Answer:

  A) 12 pieces

  B) the meaning of the quotient is that Tara got 12 pieces of length 2/5 ft from her 4 4/5 ft rope

Step-by-step explanation:

A) (4 4/5)/(2/5) = (24/5)/(2/5) = 24/2 = 12

  Tara can cut 12 pieces from the rope.

__

B) The quotient is the answer to the question. The meaning of it is that Tara can get 12 pieces from the rope, in answer to the question, "how many pieces can Tara cut?"

It doesn't matter whether the numbers are whole numbers, decimals, fractions, or even irrational numbers. The whole is the sum of the parts, so the number of parts is equal to the size of the whole divided by the size of a part.

_____

Comment on the question

This sort of question seems to appear a lot in modern "common core" math materials. They tell you "x means <such and such>", and then they ask you, "What is the meaning of x?" It seems to be a reading comprehension exercise. Of course, the meaning of x is <such and such>, just as the problem statement tells you.

please help i don't know what to do

A slope and x-intercept

B slope and y-intercept

C Slope and a point that is not an intercept

D x-intercept and y-intercept

E y- intercept and a point that is not an intercept

F two points that are not a intercepts ​

Answers

Answer:

5

It is that because I know this

The average annual cost of the first year of owning and caring for a cat is $1,500. A sample of 81 will be used. Based on past studies, the population standard deviation is assumed known with σ = $198. What is the margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat?

Answers

Answer:

The margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat is of $43.12.

Step-by-step explanation:

We have that 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 Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue 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.

Sample of 81

This means that [tex]n = 81[/tex]

What is the margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat?

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

[tex]M = 1.96\frac{198}{\sqrt{81}}[/tex]

[tex]M = 43.12[/tex]

The margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat is of $43.12.

What is the area of the triangle?

Answers

I think it is 30 !!!!!!!!!!!!!

Answer:

30 units²

Step-by-step explanation:

a=1/2 ×length × width

a=1/2 × 12 ×5

a=6×5

a=30units squared

Surface Area Homework (Help)

Answers

38.2

sorry if it’s wrong

HELP! WILL GIVE BRANLIEST!

Answers

Answer:

A cone

Step-by-step explanation:

It volume it 42.411

Chloe asked students in her school band these two questions.

Question 1: How many days per week do you practice your instrument?

Question 2: How many times will our band perform this year?

Use the drop-down menus to explain whether each question is a statistical question.

Question 1

Choose

a statistical question because each student's answer will be

Choose...

Question 2 Choose.

a statistical question because each student's answer will be

Choose the options to the question is is and is not

Answers

Answer:

Question 1: Statistical

Question 2: Not Statistical

Step-by-step explanation:

Given

Question 1 and 2

Required

Are they statistical questions?

A question is said to be statistical if it can be answered through data collection and if there are variances in the collected data.

Using this yardstick, we can say that (1) is a statistical question because the frequency at which the band perform in a week can be determined by gathering data of their past practice.

This can not be said of (2) because (2) has not been done yet, there is no available data to make predictions and lastly, the variance of an unavailable data can not be determined.

Ethan earns $12 per hour for walking Ms. Barns's two dogs, plus an additional $7 for brushing the dogs after their walk.

→ Let x represent the hours Ethan works.
→ Let y represent the total he earns each day.

Which number sentence best represents this situation?

A. 12 + 7 + 2 = y

B. 12x · 2 + 7 = y

C. 12x + 7 = y

D. 12x - 7 = y

Answers

Answer:

i think the answer is C. 12x+7=y :)

Step-by-step explanation:

what is the answer to this?​

Answers

yes yes yes. yes yes yes

Classify the angle pair using all names that apply

Answers

Answer:

Vertical and supplementary

Step-by-step explanation:

Angles 1 and 2 are Vertically opposite angles and therefore they are equal to each other.

There are 3 students in the class and 27 apples. If the apples are shared equally by all of the students. How many apples will each student get? Please write your answers in complete sentences.

Answers

Answer:

9(Nine)

Step-by-step explanation:

9 × 3 = 27

so Each student will get 9 apple's

each student would get 9apples

what is 15x-24x, this is very urgent please​

Answers

Answer:

-9x

Step-by-step explanation:

the answer is -9x. hope this helped!

Miguel has $30. He spends $6.00 on a movie ticket, $3.80 for snacks, and $1.00 for bus fare each way.

How much money does Miguel have left?

Miguel has $ left.

Answers

19.2 is your answer i am 100% sure of it have a great day! plz mark brainlyest

Answer:

answer is 19.2 left ........

Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty person can be chosen from 6 people, and there are 6 different possible weapons and 9 possible rooms. At one point in the game, you have narrowed the possibilities down to 4 people, 5 weapons, and 7 rooms. What is the probability of making a random guess of the guilty person, murder weapon, and location from your narrowed-down choices, and the guess being correct? Enter a fraction or round your answer to 4 decimal places, if necessary.

Answers

Answer:  

the required probability is 0.0071  

Step-by-step explanation:

Given the data in the question;

we have narrowed the possibilities down to 4 people, 5 weapons, and 7 rooms.

so total number of combinations for the narrowed down metrics is computed as follows;

using multiplication rule:

⇒ 4 × 5 × 7 = 140 ways

Now, the probability of making a random guess from our narrowed down choices as well as getting the guess correct will be;

⇒ 1 / 140

{ assuming that the narrowed down choices have within it the correction combination }

= 0.007142 ≈ 0.0071  { four decimal place }

∴  the required probability is 0.0071  

Find the surface area of the prism , need help and steps fast please!!

Answers

Answer:

190cm squared

Step-by-step explanation:

The surface area formula and a surface area calculator both gave this answer. Hope you do good on your assignment.

Examine the diagram, where quadrilateral HIJK is inscribed in OC.
H
RD
K
112
1
J
© 2016 StrongMind. Created using GeoGebra.
If mZIJK = 112°, what is mZIHK?

Answers

Answer:

m<IHK = 68°

Step-by-step explanation:

In an inscribed quadrilateral, opposite angels are supplementary. This means that the sum of the opposite angles in am inscribed quadrilateral equals 180°. One is the supplement of the other.

Therefore,

m<IHK = 180 - m<IJK

m<IHK = 180° - 112°

m<IHK = 68°

Which expression is equivalent to ? Assume

Answers

[(2x³y⁴)² × 2x]½

(2x³y⁴)½ ×(2x)½

2x³y⁴(2x)½

6. Alice is covering a foam cube with fabric to make a footstool. Each side of the cube is 20 inches. How
many square inches of fabric will she need?
120 in? of fabric
0 720 in.of fabric
1,200 in? of fabric
2,400 in 2 of fabric

Answers

You're looking for total surface area: area of each side is 20 times 20=400 square inches. There are 6 sides on a cube: 400 square inches times 6 = 2400 square inches
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