Mathematics High School

The population of a small town was 3500 in 2005. The population increases by 4% annually. A. Write an exponential growth function to represent this situation. B. What will the population be in 2025?

Answers

Answer 1

Answer: The population in 2025 will be 7669

Step-by-step explanation:

a) When we have an initial quantity A, and we have an increase of the X%, the new quantity is written as:

new quantity = A + A*(X%/100%) = A*(1 + X%/100%)

In this case, our initial quantity is 3500, the town's population in 2005.

And X% = 4%.

We know that each year, the population increases by 4%.

Then if P(1) is the population one year after 2005, this is:

P(1) = 3500*(1 + 4%/100%) = 3500*(1.04)

After another year, the population increases again:

P(2) = (3500*(1.04))*(1 + 4%/100%)) = 3500*(1.04)*(1.04) = 3500*(1.04)^2

Well, we already can see the pattern here, the population N years after 2005 will be:

P(N) = 3500*(1.04)^N

b) Now we want to know the population in 2025.

N represents the number of years after 2005, then we will have:

N = 2025 - 2005 = 20

2025 is 20 years after 2005.

Then the population in 2025 will be:

P(20) = 3500*(1.04)^20 = 7,668.9

And we can not have a 0.9 of a person, so we should round it up to the next whole number, then the population in 2025 will be 7669

Related Questions

Which of the following is a pair of
vertical angles?
X
E
B
ОООО
D
В
C
D
A ZAXC and ZCXE
B. ZBXD and ZAXF
C. Z CXE and BXD
D. LAXF and BXE
SUBMIT

Answers

Answer:

the answer is D

Step-by-step explanation:

Answer:

D. AXF and BXE

Step-by-step explanation:

These angles are across from each other which makes them vertical angles.

y=-11x+5. help what is the slope

Answers

Answer:

this is the slope:

Step-by-step explanation:

m=-11

Please help me......

Answers

Answer:

He's moving 10 meters a second, and the slope is 1/1

Step-by-step explanation:

Is 12r - 5 the same as -5 + 12r

I'm so tried plz help-

Answers

Answer:

Yes there are same because

Let r=1

then

12r-5 = ( 12*1)-5 = 12 -5 = 7

but

-5 + 12r = -5 + (12*1) = -5 + 12 =7

The population of a certain animal species decreases at a rate of 2.5%. If there are 400 of this animal in the wild, using an exponential function, predict approximately how many there will be in 4 years. Round to the nearest whole number. 100 points brainliest.

Answers

Answer:

welp

Step-by-step explanation:

Answer: 361

Step-by-step explanation:

a number, X, rounded to 1 significant figure is 40. Write the error interval for x

Answers

Answer:

40

Step-by-step explanation:

9
R and T are two mutually exclusive events.
P(R) = 0.2 and P(R or 1) = 0.69
Work out P(not T).

Answers

Answer:

P(not T ) =  0.51

Step-by-step explanation:

Step(i):-

Given that the R and T are two mutually exclusive events

P(R∩T) = 0

Addition theorem on probability

P(RUT) =P(R)+P(T) - P(R∩T)

P(RUT) =P(R)+P(T) - 0

P(RUT) =P(R)+P(T)

Step(ii):-

Given P(R) = 0.2 and P(RUT) = 0.69

P(RUT) =P(R)+P(T)

P(T) =  P(RUT) -P(R) = 0.69 -0.2

P(T) = 0.49

P(not T) = 1- P(T)

P(not T ) = 1 - 0.49 = 0.51

Final answer:-

P(not T ) =  0.51

what is the simplest form of 18:20​

Answers

9:10

That's nine to ten

-Northstar

the diagram shows a circle inside a square. work out the area of the circle

Answers

Answer:

i don't know the answer as you haven't given the diagram

Step-by-step explanation:

asumming the circle is touching the square the length of the sides of the square is the diameter of the circle using this information you use the formula area= pie*radius squared find the area.

(radius=half the diameter0

Number 10 hello meeeeee plz

Answers

Answer:

1,000

Step-by-step explanation:

10^3 = 10*10*10= 1,000

Find the area of a window that measures 3 yards by 3/4 yard

Answers

Answer:

3 x 3/4= 6/4 or 3/2 or 1.5 square yards

Step-by-step explanation:

What is x?
4x(2x+6)=8x²(23-5)

pls, help for the first person to answer I will give them a brainlist.

Answers

Answer:

x= 3/17

Step-by-step explanation:

4x(2x+6) =8x^2(23-5)

8x^2 +24x = 144 x^2

24x = 136 x^2

24= 136 x

x=24/136

x=3/17

what is (5)(3)(6) what is the answer for this tbh i dont know

Answers

Answer:

5*3*6 = 15*6 = 90

Step-by-step explanation:

One of the heaviest rainfalls recorded in Greentown in a 24-hour period was 178.8 centimeters. If the rainfall was constant. how many centimeter of rain fell during each hour​

Answers

Answer:

7.45cm

Step-by-step explanation:

178.8 ÷ 24 hours = 7.45 centimetres per hour.

HELP MARKING BRAINLIEST

Answers

Answer:

Give me brainliest

Step-by-step explanation:

1
2
Determine the values of n for which f(x) = x* has an inverse that is a function. Assume that n is a whole numbe

Answers

I’m answering hold on brb sort
I’ll help just give me a second

8 oranges cost $.78. How much will he spend to buy 40 oranges

Answers

Answer:

$3.90

Step-by-step explanation:

To get from 8 to 40, you multiply by 40/8, so you have to do the same to $.78. .78 * 40/8 is equal to 3.9, which would be $3.90.

A dog barks 30 times in 2 minutes. How many times does the dog bark per minute?
barks per minute

Answers

Answer:

15 times per minute

Step-by-step explanation:

just divide 30 by 2

It park 15 time per min.

I need help immediately pls !!

Answers

Answer:

y=3

Step-by-step explanation:

please help asap with legit answers

Answers

Answer:

D

Step-by-step explanation:

Just combine like-terms

can someone explain this to me? PLEASE HELP FAST!!

Answers

Answer:

49.298

Step-by-step explanation:

Radio × π²

5×3.14²

5×9.8596

49.298

Find the 10th term of the arithmetic sequence in which 12 and d = 9.1.​

Answers

Answer:

The 10th term=93.9

Step-by-step explanation:

[tex]a_{10} =12+(n-1)9.1\\ = 93.9[/tex]

can someone help me with number 10

Answers

Answer:

=its 29+29+45

Step-by-step explanation:

hope dis helps

Can you help me I dont understand ​

Answers

What don’t you understand?

What is 3 1/4 as a fraction

Answers

Answer:

13 / 4

Step-by-step explanation:

Select the correct answer.
What is the domain of the function shown in the graph?

Answers

Answer:

Step-by-step explanation:

Option B is the correct answer

Answer:

negative infinity < x < positive infinity

Step-by-step explanation:

Person above is correct

*
1. Which terms can be combined in the following expression? *
4x² - 5y + 6x + 4y - 7
0 4x² and 6x
O-Sy and 4y
O 4y and - 7
-5y and 6x

Answers

Answer:

-5y and 4y

Step-by-step explanation:

this is because both of them have the same degree of variables, regardless of the signs of their coefficients, you can combine terms that follow the stated points above.

Please help I will give brainiest

Answers

Answer:

35

Step-by-step explanation:

55 + x = 90

x = 90 - 55

x = 35

One airplane located 200km north and 50km east of an airport. A second plane at the same altitude is located 30km north and 100km west. The distance between the planes is closet to:​

Answers

Answer: 350

Step-by-step explanation:

Answer:

350

Step-by-step explanation:

A guitar factory has a cost of production C(x)=75x+50000. If the company needs to break even after 150 units sold, at what price should they sell each guitar?

Answers

step by step explanation:

75x + 50000 = 150x

50000 = 75x

x = 50000/75 = 666.67



answer:

666.7 || rounded to the nearest greatest cent

The price of each guitar would be; 666.7 rounded to the nearest greatest cent.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that  guitar factory has a cost of production C(x)=75x+50000. If the company needs to break even after 150 units sold, then;

C(x)=75x+50000

75x + 50000 = 150x

C(x)= 50000 = 75x

x = 50000/75

x = 666.67

Therefore, The price of the each guitar would be; 666.7 rounded to the nearest greatest cent.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Other Questions
Students are asked to pair a plant structure to its physiological function as well as give evidence for whythat structure is important for the process they describe. Shantal: The cambium are important for photosynthesis because they allow water into the plantwhich is needed as a reactant for photosynthesis. Jamil: The phloem is needed for cellular respiration as it transports the carbon dioxide to the leavesin order to perform cellular respiration. Enrique: The guard cells are needed during food production because they regulate how much waterthe plant retains or loses during glycolysis. Anne: The seeds of the plant are needed for reproductive purposes and they can be dispersed orspread out over a large area.Which student correctly described a plant structure, its physiological function, and gave appropriateevidence?O ShantalO JamilO EnriqueO Anne If you have had Hepatitis A, you cannot yet which other type ofHepatitis? 3.What do we call materialsthat let heat pass throughthem easily?Thermal conductorsThermal insulatorsTransparent4.Which of these is a goodthermal conductor?PlasticWoodSteel5.Which of these is a goodthermal insulator?SteelIronPolystyrene6.To save on heating bills, doyou think the roof of abuilding should be lined with...a thermal conductora thermal insulatornothing7.How does heat travel?From cold things to hotter thingsFrom hot things to colder thingsBetween things of the same temperature Am i right?its equations and expressions Discuss the impact of television on myth, legend, and folklore. Is the impact a positive one or a negative one? Are stories told on TV our future myths, legends, and folklore? You explored several methodologies about the study of myth. None of the people who came up with these methodologies are alive today. What method would you come up with to study the myths, folklore, and legends that have evolved in the eighteenth through the twentieth centuries? American literary scholar Richard Altick, in his book A Preface to Critical Reading, said, In the latter part of the 20th century, it is hard for us to realize how important a part mythology played in the imagination of writers and readers down through the ages. The gods and goddesses of Olympus, the heroes of ancient legend were as familiar to the people who created the literature of the western world as popular movie stars are to us. Their names had the power to evoke rich emotions, which sprang from the recollection of the wondrous stories in which these figures participated. Unless the modern reader can somehow re-create for herself the emotional experience a mythological reference brought to readers in earlier generations, her reading of non-contemporary literature will lack much of the pleasure and understanding it would otherwise possess. Discuss this statement. Without an understanding of myth, can we fully understand and appreciate noncontemporary literature? If we cant, then how can myth, legend, and folklore stay alive? Does it need to, or can we survive as a culture without it? HELP IM TIMES FOR 20 MINUTES! IVE BEEN ON THIS FOR THE LONGEST! 4. Cul fue la confesin que Federico le hizo a Rubn? Each bag of skin contains 2.6 ft. of sand, how many bags of sand will need to be purchased to completely fill the sandbox? The expression to die for" is an example of when queries are saved and run again at a later date one advantage is that the query uses the most informationA. Complex B. basic C. historical D. current May someone explain whats sample space is and how to do it? I dont think my teacher explained it good. do you know what is 25 x 100 what is the overall impact of heredity, fitness, health and wellness? which determinants do you have the least control? Match each digestive Juice or enzyme to the organ where it performs. Order these numbers from least to greatest.3.027, 3.2742, 3.27, 3.3 would using a strainer be filtration? I need Help with vocab REVIEW: A prepositional phrase is a group of words consisting of a preposition, its object, and any words that modify the object. Most of the time, a prepositional phrase modifies a verb or a noun. These two kinds of prepositional phrases are called adverbial phrases and adjectival phrases, respectively.DIRECTIONS: READ THE SENTENCE AND CHOOSE THE PREPOSITIONAL PHRASE.SENTENCE: In the springtime, he loves ride on his bike. ain the springtime bhe loves to ride con his bike dboth "in the springtime" and "he loves to ride" eboth "in the springtime" and "on his bike" find the value of x PLEASE ASNWER ASAP FOR BRAINSLEST!!!!!!!!!!!!Read the poemI WANDERED LONELY AS A CLOUD by William WordsworthI wandered lonely as a cloud That floats on high o'er vales and hills, When all at once I saw a crowd, A host, of golden daffodils; Beside the lake, beneath the trees, Fluttering and dancing in the breeze.Continuous as the stars that shine And twinkle on the milky way, They stretched in never-ending line Along the margin of a bay: Ten thousand saw I at a glance, Tossing their heads in sprightly dance. The waves beside them danced; but they Out-did the sparkling waves in glee: A poet could not but be gay,In such a jocund company: I gazed and gazed but little thought What wealth the show to me had brought:For oft, when on my couch I lie In vacant or in pensive mood, They flash upon that inward eye Which is the bliss of solitude; And then my heart with pleasure fills, And dances with the daffodils. Answer these questions according to the poem:1. Part A: Which of the following identifies the theme of the poem?A. The beauty of nature brings people pleasure. B. Nature reflects the variety of emotions that humans feel.C. Humans rarely appreciate the beauty of nature that surrounds them.D. nature is the best inspiration for hopeful artists.