The population in Smalltown in 2010 was 45,230 people and is growing exponentially at a
rate of 2%. What will the population be in 2030?
O 67,475
O 81.928
O 67.209
O 82.414

Answers

Answer 1

Answer:

The first option

67475

Step-by-step explanation:

Step one:

Given data

The population in Smalltown in 2010 was 45,230

rate= 2%= 0.02

time t= 20 years

Step two:

Let P(t) = population t years after 2010  

              = 45230e^0.02t

 

Population in 2030 = P(20)

                                = 45230e^0.02t(20)

                                  = 45230e^0.4

                                  ≈ 67475

Answer 2

Answer:

A

Step-by-step explanation:

Just adding in from the previous answer too, bc I thought it would be wrong but it wasn't


Related Questions

What is 3 /49 as a decimal?

Answers

Answer: 3/49 as a decimal is 0.06122

bruh math problems really be like


"sALLY aTe 7 PenCiLs, iF sHe vOmitS 3 hOw mAnY arE LeFt?"

smh.

Answers

Answer:

Bruu for real and they don't make sense LOL

Step-by-step explanation:

Answer:

FACTS lmbooo

Step-by-step explanation:

1. 3 cans of pudding costs $2.48 at Store A and 6 cans of the same pudding costs $4.50 at Store B. Which store has the better buy on these cans of pudding?

Answers

Answer:a

Step-by-step explanation:

Answer:

Store B because if you take 2.48 divided by 3 to figure out the cost per can aka one can  it will be 0.826 repeating and that's for store A . While store B you take 4.5 divided by 6 to and get 0.75 per can so Store B is the best option since 0.75 is smaller than 0.826.

Which phrase matches the algebraic expression below?
2(x - 7) +10

Answers

Answer:

2 times the difference of x minus 7 plus 10

Step-by-step explanation:

When dealing with equations, you ALWAYS do the parentheses first. The first relationship x and 7 are going to have is being subtracted from eachother. Once you do that, you can do the rest of the equation. Hope this helps!





دائرة مركزها o فيها الوتران cd,ab اذا علمت ان النقطة n نقطة منتصف الوتر cd والنقطة m نقطة منتصف الوترab وكان om=on وطول cn=6cm
فان طول AB يساوي :
c 24cm
b 12 cm
a 6 cm


Answers

Step-by-step explanation:

12cm

...............

Answer:

c 24cm

Step-by-step explanation:

Which of these pizza slices gives the best
value (the most pizza per dollar spent)?
A. a slice with a radius of 12 inches. central angle of 30 degrees, and a
cost of $3 per slice
B. a slice with a radius of 8 inches. central angle of 45 degrees. and a
cost of $2 per slice
C. a slice with a radius of 6 inches. central angle of 60 degrees, and a
cost of $2 per slice
D. a slice with a radius of 6 inches, central angle of 45 degrees, and a
cost of $1 per slice

Answers

Answer:

B. a slice with a radius of 8 inches. central angle of 45 degrees. and a

cost of $2 per slice

Step-by-step explanation:

brainest plz

Option B gives the best value.

What is a circle?

'A circle is a shape consisting of all points in a plane that are at a given distance from a given point which is the center.'

According to the given problem,

Radius = 8 inches

Diameter = 16 inches

Considering a pizza is a circle and the area of a circle increases with the square of the radius.

However 45 degrees being less inclined than 30 degrees.

Hence, a slice with a radius of 8 inches, central angle of 45 degrees gives the best value for $ 2 per slice.

Learn more about circles here: https://brainly.com/question/15099709

#SPJ2


Xander ordered a pizza with 8 equal slices as shown in the image below.
Assi
Hapo
Thes
Ito see all
ared
If Xander ate 6 slices of pizza, what percentage of the pizza did he eat?

Answers

If he ate 6 slices he wouldve eaten 75% of the pizza

expand and simplify: 2x(3x +y) - 5x(3x - 2y)

Answers

simplified the answer is -9x^2 + 12xy

Aubree invested $500 into a mutual fund that paid 3% interest each year compounded annually. Find the value of the mutual fund in 12 years.

Answers

Answer:

FV= $712.88

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $500

Number of periods (n)= 12 years

Interest rate (i)= 3% compounded annually

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

FV= 500*(1.03^12)

FV= $712.88

Answer:

25%

Step-by-step explanation:

Because she divided it

Pleases help thank you

Answers

Answer:

my bad

The correct answer is C

Step-by-step explanation:

hopr it helps

have a great day

:)

The answer is c because the exponent 4 becomes 3 four times

Order the functions from narrowest graph to widest graph.
11. h(x) = 3x2
12. g(x)= -
13. f(x)= x2
14. k(x) = -2x

guys please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

djjdjdjdjdjsksjdjjdjdjdjdjdjdndndnndndjd

The order of  functions from narrowest graph to widest graph is 3x²,    -x,  x² and 2x. A graph is a structure that amounts to a set of items.

What is graph?

A graph is a structure that amounts to a set of items in which some combinations of the objects are already in some manner "connected" in discrete mathematics, more specifically within graph theory.

The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge. A graph is typically shown diagrammatically as a collection of dots as well as circles representing the vertices and lines or curves representing the edges. The order of  functions from narrowest graph to widest graph is 3x²,    -x,  x² and 2x.

Therefore, the order of  functions from narrowest graph to widest graph is 3x²,    -x,  x² and 2x.

To know more about graph, here:

https://brainly.com/question/29183673

#SPJ7

If the sides of a triangle have the following lengths, find a range of possible values for x.

LM = 6x + 3, MN = 4x - 17, LN = x + 40

Answers

Answer:

The range of possible values of x are;

x > 6

Step-by-step explanation:

To form a triangle, the length of two sides must be greater than the third side

Thus;

6x + 3 + 4x-17 > x + 40

6x + 4x-14 > x + 40

10x-14 > x + 40

10x-x > 40 + 14

9x > 54

x > 54/9

x > 6

The mean weight of the domesticated house cat is 9.2 pounds with a standard deviation of 3.4 pounds. If a cat has a z-score of -1.3 for its weight, how much does it weigh? Write your answer as a complete sentence.

Answers

Answer:

4.78 pounds

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 9.2 pound

σ is the population standard deviation = 3.4 pounds

z = 1.3

We are to find x

Hence,

-1.3 = x - 9.2/3.4

Cross Multiply

-1.3 × 3.4 = x - 9.2

-4.42 = x - 9.2

x = -4.42 + 9.2

x = 4.78 pounds.

Therefore the weight of the cat is 4.78 pounds

6x +1.5x = 2
What is x=

Answers

Answer:

[tex]\boxed{x=\frac{4}{15},~0.2667}[/tex]

Solution Steps:

______________________________

1.) Combine 6x and 1.5x:[tex]6x+1.5x=7.5x[/tex]

 - You combine since these are like terms.

Equation at the end of Step 1:

[tex]7.5x=2[/tex]

2.) Divide both sides by 7.5:[tex]7.5x[/tex] ÷ [tex]7.5=x[/tex][tex]2[/tex] ÷ [tex]7.5=[/tex]

 - We divide because we want to get x alone.

Equation at the end of Step 2:

[tex]x=\frac{2}{7.5}[/tex]

3.) Expand the fraction by multiplying both numerator and the denominator by 10:[tex]2[/tex] × [tex]10=20[/tex][tex]7.5[/tex] × [tex]10=75[/tex]

 - We turned this into a fraction because we couldn't divide properly.

4.) Reduce the fraction to lowest terms by extracting and canceling out 5:[tex]20[/tex] ÷ [tex]5=4[/tex]  [tex]75[/tex] ÷ [tex]5=15[/tex]

 - This step just means divide the lowest amount possible, which in this case is 5.

______________________________

Use the drop-down menus to choose steps in order to correctly solve
4k - 6= -2k - 16 - 2 for k.

Answers

4K-6=-2K-16-2. Start by simplifying terms on each side. 4K-6=-2K-18. Get the terms together. 6K=-12. Now simplify by division. K=-2. If u plug the answer back in the equation they will equal each other so I know I’m right.

A truck is working to carry a batch of goods including sand and
stone but it can only carry 20 tons at most. The carriage
charges of each ton of sand and stone are 10 and 15 dollars
respectively. Its owner wants to earn at least 250 dollars. Write
a system of inequalities to express this situation. What is the
least possible number of tons of stone the owner needs to
carry to meet his own goal?
tons
Enter the answer
Check it

Answers

Answer:

Y=10

Step-by-step explanation:

No

Kyle bought four boxes of cereal for $8.60. How much would 10 boxes of cereal cost

Answers

Answer:

$20.75

Step-by-step explanation:

The answer is $21.50

Explain:

$8.60 / 4 = $2.15

$2.15 x 10 = $21.50

Could I have brainliest?

at an amusement park, children are charged an entrance fee of $20 plus $3 per ride and adults are charged an entrance fee of $28 plus $4 per ride. Identify your variable with a 'let' statement and write expressions for both children and adults that represent the cost for each group.

Answers

Answer:

T=3r+20 for the children and T=4r+28 for the adults

Step-by-step explanation:

Let r equal the amount of rides the person took, let T equal the total cost of the trip

Decrease £2123 by 8%

Answers

Should be £1953.16 :)

.Damian wrote the number five and thirty-eight thousandths as 5.38. Was he correct or not? if so, what was the error

Answers

Answer:

he is incorrect.

Step-by-step explanation:

It would be 5 and 38 HUNDRETHS because the first number after the decimal is the tenths.

Carlos went kayaking and burned 380 calories. It's a hot day, and he decides to replace all of his calories to keep his energy up. Select a snack from the following options that will allow Carlos to replace his calories.

Answers

Step-by-step explanation:

yoi forgot to pit the snacks.

WILL GIVE BRAINLIEST
Given the system of equations presented here:

4x + y = 4
2x + 6y = 24

Which action creates an equivalent system that will eliminate one variable when they are combined?

Multiply the first equation by −4 to get −16x − 4y = −16.
Multiply the second equation by −4 to get −8x − 24y = −96.
Multiply the first equation by −2 to get −8x − 2y = −8.
Multiply the second equation by −2 to get −4x − 12y = −48.

Answers

Answer:

Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Given:

4x + y = 4 (1)

2x + 6y = 24 (2)

Multiply the second equation by −2 to get −4x − 12y = −48.

4x + y = 4 (1)

−4x − 12y = −48 (3)

Variable x can be eliminated by adding the equations

4x + (-4x) + y + (-12y) = 4 + (-48)

4x - 4x + y - 12y = 4 - 48

0 - 11y = -44

-11y = -44

Divide both sides by -11

y = -44/-11

= 4

y = 4

Answer: Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

help asap will make brainlest

Answers

Answer:

C

Step-by-step explanation:

Slope of first equation: -1/2; y-int: -1

Slope of second equation: 1/4; y-int: -4

Answer:

C:

y=  -1/2x -1

y=  1/4x -4

Step-by-step explanation:

Quick maths


Greg buys 2 puzzles from a garage sale. Each puzzle costs $4. Which graph
could show the coordinates of the point that represents the number of puzz
that Greg buys and the total cost?

Answers

Answer:

bottom right

Step-by-step explanation:

for the side that says total cost u go up to 4 and for the one that says number of puzzles u go two over

In triangle JKL what is the value of x° if JK = KL

A) 38°
B) 60°
C) 69°
D) 71°

Answers

Answer:

A: 38º

Step-by-step explanation:

Triangle JKL is an isosceles triangle as JK=KL:

That means ∠J=∠L=71ºThe sum of a triangle's interior angles is 180º, so ∠K=180º-∠J-∠L. We know ∠J=∠L=71º, so ∠K=180º-71º-71º=38

- A fish tank filter cleans 3 gallons of water every 1/4 hour. Set up and solve a proportion to determine how many gallons of water are cleaned in 4 hours.​

Answers

Answer: 48 gallons in 4 hours

Step-by-step explanation:

3 gallons every .4 hours > 12 gallons every 1 hour > 48 gallons every 4 hours

PLEASE HELP
The question is in the picture so this is just filler text but please help me ASAP

Answers

OC should be 5, since DE is a bisector, meaning OB and OC should be the same length. That would make BC 10, because you’re adding the two 5s together

Please help on 5 and 6

Answers

Noah is right because 75% of 10 is 7.5 and 10% of 30 also equals 7.5

Which expression is equivalent to 1/5 divided by 1/2?


A- 1/5 x 1/2
B- 1/5 x 2/1
C - 5/1 x 2/1
D 5/1 x 1/2

PLZZ HELP I NEED IT NOWW

Answers

Answer B! Hope this helps

Mr. Patel bought his 3 friends Casio G-Shock watches for Christmas. The retail price for each watch on Amazon was $39.91. How much did he pay for all 3 watches, excluding tax?

Answers

Answer:

Mr. Patio paid $312.00 for the three watches

Step-by-step explanation:

The price of one of the Casio G-Shock watches that  Mr. Patel bought his 3 friends for Christmas is $39.91.

For Mr. Patio to have bought this watch for each of his 3 friends, we have that the cost will be multiplied by three. He is spending three times the amount he would have spent if he is buying for only a single person.

Cost = 39.91 X 3 =$312.00

Mr. Patio paid $312.00 for the three watches

Other Questions
Do this work if someone give correct answer I make her brainliest ANSWER ASAPPP I WILL MARK BRAINLIET EXPALIN HOW YOU GOT WHAT U GOT PLSSS Which statement correctly describes the expression (12)7 why is more dew formed on a grass and not on polished metal surface How does the waste of the pandemic relate to the biosphere? what is an equation of the line that passes through the points (-2,1) and (-8,4) Which of the following is NOT an example of mechanical weathering?A.A large rock splits due to ice wedging. B.Oxidation causes rust on the rock. C.Moving water causes abrasion as rocks collide with one another and break apart. D.Plant roots grow in the crack of a rock. The perimeter of a triangle is 65 meters. The second side is 5 meters less than the first side.The third side is 7 meters more than the first side. What is the length of each side? Find the area........................ 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Your subject may have from two to four main points and from two to five subpoints under each main point (but having a total of more than about 10 points will weaken your speech). You must have at least two subpoints for each main point.Practice giving your speech in front of a mirror or with a partner.If you are able, have someone record your speech so that you can also evaluate it according to the points listed below.Have your teacher or a friend evaluate your speech using the following points.Did the speaker:1. Know the subject?2. Show enthusiasm?3. Use meaningful gestures?4. Use a pleasant, expressive voice?5. Set a pleasing pace?6. Speak clearly?7. Use humor carefully?Comments:PLZ don't give me stuiped answer The Chester Company has just purchased $40,900,000 of plant and equipment that has an estimated useful life of 15 years. The expected salvage value at the end of 15 years is $4,090,000. What will the book value of this purchase (exclude all other plant and equipment) be after its third year of use? (Use FASB GAAPa) $32,720,000b) $29,448,000c) $35,446,667d) $33,538,000 Write an expression that represents the difference of y and 32, plus the product of y and 412 points for the answer Beatrice threw a stone one and seven fourteenths yards. Tilly threw a stone nine fourteenths of a yard. What is a reasonable estimate of the difference between their two throws? 1 yard one and one half yards 2 yards two and one half yards I'm not sure if these are correct. I Need Help Plz And Thank You And Show All Work And Steps. THIS IS DUESolve each system using the substitution method. Show all work and steps.4.5.1) 2x-5y=8x=3y-1A. Substitute the equation that is already solved for one variable into the other equation.B. Solve for the single variable in the one-variable equation.C. Substitute the result from the previous step into x=3y1 and solve for the unknown variable.D. 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He had never before thought it curious.Effie stood holding her handkerchief to her eye, and said: "I don't believe it's out." People always say this when they have had something in their eyes."Oh, yesit's out," said the doctor. "Here it is, on the brush. This is very interesting."Effie had never heard her father say that about anything that she had any share in. She said: "What?"The doctor carried the brush very carefully across the room, and held the point of it under his microscopethen he twisted the brass screws of the microscope, and looked through the top with one eye."Dear me," he said. "Dear, dear me! Four well-developed limbs; a long caudal appendage; five toes, unequal in lengths, almost like one of the Lacertidae, yet there are traces of wings." The creature under his eye wriggled a little in the castor oil, and he went on: "Yes; a bat-like wing. A new specimen, undoubtedly. Effie, run round to the professor and ask him to be kind enough to step in for a few minutes.""You might give me sixpence, Daddy," said Effie, "because I did bring you the new specimen. I took great care of it inside my eye, and my eye does hurt."The doctor was so pleased with the new specimen that he gave Effie a shilling, and presently the professor stepped round. He stayed to lunch, and he and the doctor quarreled very happily all the afternoon about the name and the family of the thing that had come out of Effie's eye.But at teatime another thing happened. Effie's brother Harry fished something out of his tea, which he thought at first was an earwig. He was just getting ready to drop it on the floor, and end its life in the usual way, when it shook itself in the spoonspread two wet wings, and flopped onto the tablecloth. 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That afternoon Towser was bitten in the garden by a dragon about the size of a rabbit, which he had tried to chase, and the next morning all the papers were full of the wonderful "winged lizards" that were appearing all over the country. The papers would not call them dragons, because, of course, no one believes in dragons nowadaysand at any rate the papers were not going to be so silly as to believe in fairy stories. At first there were only a few, but in a week or two the country was simply running alive with dragons of all sizes, and in the air you could sometimes see them as thick as a swarm of bees. They all looked alike except as to size. They were green with scales, and they had four legs and a long tail and great wings like bats' wings, only the wings were a pale, half-transparent yellow, like the gear-boxes on bicycles.Based on the rising action in the bolded paragraphs, what do we know about Daddy? 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