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

Please help me......

Answers

Answer:

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

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

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.

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.

Please help I will give brainiest

Answers

Answer:

35

Step-by-step explanation:

55 + x = 90

x = 90 - 55

x = 35

HELP MARKING BRAINLIEST

Answers

Answer:

Give me brainliest

Step-by-step explanation:

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

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

please help asap with legit answers

Answers

Answer:

D

Step-by-step explanation:

Just combine like-terms

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:

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.

What is 3 1/4 as a fraction

Answers

Answer:

13 / 4

Step-by-step explanation:

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:

can someone help me with number 10

Answers

Answer:

=its 29+29+45

Step-by-step explanation:

hope dis helps

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

*
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.

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

what is the simplest form of 18:20​

Answers

9:10

That's nine to ten

-Northstar

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

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:

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]

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

Answers

Answer:

40

Step-by-step explanation:

Can you help me I dont understand ​

Answers

What don’t you understand?

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

Answers

Answer:

this is the slope:

Step-by-step explanation:

m=-11

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:

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:

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

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
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