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

can anyone answer this PLSSSSSSS I NEED IT!!!

Answers

Answer:

3

Step-by-step explanation:

What is 6/87 of 45638???????

Answers

Answer:

3,147.44828

Step-by-step explanation:

[tex] \frac{6}{87} \: of \: 45638 \\ \\ = \frac{6}{87} \times 45638 \\ \\ = 6 \times 524.574713 \\ \\ = 3,147.44828[/tex]

Please help, I will be giving brainlist.

Answers

Answer:

b

Step-by-step explanation:

Answer:

o B 6 inches.

Step-by-step explanation:

Proportions:

13 in ⇔  9.75 in

8 in  ⇔   X  in

X = 8*9.75/13

X = 6 in

What stamens are true help please

Answers

You spelled statements wrong

Which verbal expression does NOT represent 9-x?

x less than nine
subtract x from nine
x decreased by nine
the difference of nine and x

Answers

Answer: the difference of nine and x

Which statement is false?
A. Every rational number is also an integer.
B. No rational number is irrational.
C. Every integer is also a rational number.
D. Every irrational number is also real.

Answers

iI think that c because it is inside the integers are inside the rationals

what is the radius if the circumference is 1.0

Answers

Answer:

r = 0.16

Step-by-step explanation:

C = 2·π·r

1 =  2·π·r

1/2 =  π·r

0.5 =  π·r

0.5 / 3.14 = r

0.16 = r

!!PLEASE HELP!!!!!! x=___

Answers

Answer:

12

Step-by-step explanation:

Let sin(2x)-sin(x)=0, where 0 ≤ x < 2pi. What are the possible solutions for x?

Answers

Step-by-step explanation:

sin2x - sinx = 0

2sinxcosx - sinx = 0

(Double Angle Formula)

sinx(2cosx - 1) = 0

Either sinx = 0 or cosx = 1/2.

When sinx = 0,

x = 0 or x = π.

When cosx = 1/2,

x = π/3 or x = 5π/3.

Hence the solutions are

x = 0, x = π/3, x = π or x = 5π/3.

Is this a function? Yes or no
{(2,5), (3,6), (4,7), (5,8), (6,9)}

Answers

Answer:

No

Hope I helped!

Step-by-step explanation:

Answer: no

Step-by-step explanation: the domain value 6 is paired with both 9 and 10. 3. {(2, 2), (−1, 5), (5, 2), ... yes. 28. {(4, 5), (3, −2), (−2, 5), (4, 7)}. ANSWER: no. 29. y = −8 no.

can you pls help me i really need help

Answers

Answer:

UMM SO IM NOT CERTIAN BUT IMMA DO MY BEST

Step-by-step explanation:

SO 1 WOULD BE: 12X1.5 AND THATS 18

AND 2 IS: 16X1818 AND THATS 29088

AND THREE IS: 28 DIVIDED BY 4 WHICH IS 7

AND THEN 4 IS: 32 DIVIDED BY 8 WHICH IS 4

Which is the same as 0.25?

Answers

Answer:

[tex]\frac{25}{100}[/tex]

Step-by-step explanation:

Hey there !!!!!

to find the correct answer to this question  you just divide :

the options are  25/10 , 2/5 , 10 / 25 and 25/100

so, you divide each one of them :

25/10 = 25 ÷ 10

2/5 = 2 ÷ 5

10/25 = 10÷25

25/100 = 25÷100

if you divide each one of them:

25 ÷ 10 = 2.5

2 ÷ 5 = 0.4

10÷25 = 0.4

25÷100 = 0.25

therefore:

25/100 is the answer

have a wonderful day

can someone help out ?? question is "The cost of Caroline’s cell phone plan is shown below in the table. What is the equation that best represents the the total cost, y, after x number of months?

Answers

Answer:

y = 32x

We notice that we multiply the number of months by 32

which fraction is equvalent to a terminating decimal

Answers

Just divide the numerator by the denominator.If you end up with a remainder of 0 then you have a terminating decimal.

1) Which of the following represent of 3/4 12?
A. 000000000000
B. OOOO
C.oooooooooooo
D. od​

Answers

Answer:

i think its all to be honest

Step-by-step explanation:

Solve |2x-5|= 4
Need in 5 minutes ​

Answers

Answer:

x=4.5

Step-by-step explanation:

2x-5=4

2x=9

x=4.5

X= 9/2, 1/2 or x= 4.5 , 0.5

The cost of a new television is $948. If the value of the television decreases by 4.5% every year, which function models the value of this new television x years after it was purchased?

Answers

Answer:

t(x) = 948(0.955)^x

Answer:A

Step-by-step explanation:

Evaluate the function. g(x) = 3x^2 – 2x + 5 Find f(2)​

Answers

Answer:

13

Step-by-step explanation:

Replace X with 2

Evaluate the function. g(x) = 3x^2 – 2x + 5 Find f(2)​

g(x) = 3(2)^2 – 2(2) + 5

Next conduct PEMDAS

Exponents are first so solve 2^2 which is 2 x 2 = 4

g(x) = 3(4) – 2(2) + 5

Next step is multiplication multiply 3 x 4 and 2x2

g(x) = 12 – 4 + 5

conduct adding and subtracting left from right

g(x) = 13

A math teacher said that 18 out of 25 students passed the test. What percent of the students did NOT pass the test?

Answers

Answer:

28% of the class didn't pass the test.

Step-by-step explanation:

25 - 18 = 7

7/25 = 0.28  or 28%

Thus, 28% of the class didn't pass the test.

What is this? Someone please help me

Answers

Answer and Step-by-step explanation:

Haven't done this in a while, so here we go:

The rule (I'm not really sure) would have to be negative number and negative number.

This means that:

(4, 0) would become (-4, 0) A'

(6, -2) becomes (-6, 2) B'

(8, -7) becomes (-8, 7) C'

and (0, -5) becomes (0, 5) D'

#teamtrees #WAP (Water And Plant)

Kate has 48 softballs. She wants to divide them evenly among b softball bags. Which expression represents how many softballs she should put into each bag?

Answers

Answer:

Softballs = (48/b)

Step-by-step explanation:

Given that,

Total number of softballs = 48

She wants to divide them evenly among b softball bags.

We need to find an expression that represents how many softballs she should put into each bag.

As it is dividing among b softball, it means we divide 48 and b. So,

[tex]s=\dfrac{48}{b}[/tex]

Hence, the required expression is (48/b).

a machine at a graphic design studio produces paper labels for juice bottles. This graph represents the number of labels produced over time.


Based on the graph, how many labels are produced per minute?

50 labels/minute
75 labels/minute
100 labels/minute
150 labels/minute​

Answers

Answer:

150 labels/ minute

Step-by-step explanation:

As you can see on the graph there is a point on (1,1 1/2)=150/1

Also 150*2=300 so it all makes sence

WILL GIVE BRAINLIEST, PLEASE EXPLAIN J=HOW TO FIGURE THIS PROBLEM OUT THANK YOU. The figure below shows a shaded region and a non-shaded region. Angles in the figure that appear to be right angles are right angles.

A picture of a rectangle is shown. The bottom of the rectangle is labeled 16 ft. The right side of the rectangle is labeled 8 ft. At the bottom left side of the rectangle there is a label that reads 2 ft. Inside the rectangle is a shaded region. The bottom of the region is labeled 8 ft and this side is perpendicular to the left side of the rectangle. The right side of the shaded region has a perpendicular line segment extending upward that is labeled 2 ft. At the top of this line segment is another line segment perpendicular to the right that reads 2 ft. At the end of this line segment is a perpendicular line segment extending upward that reads 1 ft. There is a line segment joining the end of this line segment with the top left corner of the rectangle.

What is the area, in square feet, of the shaded region?

Answers

Answer:

NEED A PICTURE

Step-by-step explanation:

need a picutre

I’ll be back Imma go ask my friend he will help

Complete the solution of the equation. Find the
value of y when x equals 15.
-3x - y = -51

Answers

Answer:

The solution of the equation    y = 36

Step-by-step explanation:

Explanation:-

Given equation -3x-y =-51

Given that x =15 in equation -3x-y=-51

                 ⇒        - 3(15) - y = -51

                ⇒         - 15 - y =-51

                 ⇒         -15+ 51 = y

               ⇒            y = 36

What value of x makes this equation true?

6x - 3 = 5x - 5

Answers

Answer:

x= - 2

Step-by-step explanation:

expand x(x-6)
..........

Answers

Answer:

X² - 6x

Step by step:

Times x by x which makes x², then x times 6 makes 6x.

You get your finally answer x²-6x

Maria's Grocery Store buys grapefruit at a cost

of 5 for a dollar. They sell them at a price of 5

for three dollars. How many must they sell in

order to make a profit of ten dollars?

Answers

Answer: 25 grapefruits

Step-by-step explanation:

They buy grapefruit at a price of 5 per dollar. This means that the price per grapefruit is:

= 1 / 5

= $0.20 per grapefruit.

They then sell at a price of 5 per $3. The selling price per grapefruit is:

= 3 / 5

= $0.60

The profit per grapefruit is:

= 0.60 - 0.20

= $0.40

In order to make a profit of $10, they should sell:

= 10 / 0.4

= 25 grapefruits

I'm in 8th grade I need help with this question please help me

Answers

In slope intercept form it would be y=10+6x

Sam had 1 1-2 m of rope. He cut off 5-8 m and used it for the project. How much does Sam have left​

Answers

1 1/2 m and 5/8 meter need to have the same denominator in order to subtract.

1 1/2 is equivalent to 12/8
Now 5/8 and 12/8 have the same denominator so you can subtract.
12/8-5/8= 7/8
7/8 m is left

What is the value of x and y?

Answers

Answer:

8x, 5y

Step-by-step explanation:

a dunno if thats wha ya meant but theres already an answer filled in there a think

Other Questions
Find the unit rates. 4 ounces for $5.89 could you help me understand cross sections of three-dimenstional object its harder than it sound. Find the coordinates the intersection of the diagonals of parallelogram QRST if with vertices Q(-2,-1), R(-3,6), S(1,5), and T(2,-2) HELP PLS PLEASE HELP ME 12 POINTS A department store sells snow boots for d dollars. The department store has a 30% off sale. Write a simplified expression to determine the total amount someone will pay, before tax, for the snow boots. Ingrid had 30 dollars to spend on 3 gifts. She spent 10 3/4 dollars on gift A and 5 1/2 dollars on gift B. How much money did she have left for gift C? Who are the generals leading Duncan's troops?Choose 2 correct answers.MacduffMacdonwaldBanquoMacbethMalcolm Can you please not sit on my eggplant Because if 6 inches plus 6 inches is not 3 inches but it would be 12 inches then why would it be 12 inches if it wasnt 3 inches? What is the total amount of heat released in kilojoules when 112.0 g water at 50.0C cools to form ice at 45.0C? Use the following values for calculations, as needed.Properties of WaterSpecific Heats(C)gas=1.84 J/gCliquid=4.184 J/gCsolid=2.09 J/gCHeat of VaporizationHvap=40.7 kJ/molHeat of FusionHfus=6.01 kJ/mol What is the value of x Please help Lewis and Clark brainpop ill give brainlyest ! Overview Write a program that reads an integer from the user and then prints the Hailstone sequence starting from that number "What is the hailstone sequence?" you might ask. Well, there are two rules: If n is even, then divide it by 2 If n is odd, then multiply it by 3 and add 1 Continue this sequence until you hit the number 1. Oswald Avery helped build our understanding of genetics by showing that:A viruses cannot infect cells.B. DNA transformed bacterial cells.C traits cannot be inherited.D. proteins move between bacterial cells. HURRY PLS CAN SOMEONE PLEASE HELP ME In one or two paragraphs, explain how the Nile River influenced the relationship between Egypt and Nubia. How did it encourage similarities in Egyptian and Nubian culture? How did it also create cultural differences? What does Otorhinolaryngologist mean? Read the headings below from the article Grief Along the Reef and answer the question.BENEATH THE AZURE WATERS LIES A LOST COLONYUNDERWATER WONDERSREEFS IN PERILTHE FUTURE OF THE REEFSMark all that apply. What can we infer about the article based on these headings?It will identify some sort of threat to reefs.It will promote visiting and touring the coral reefs.It will inform us about reefs.It will make some sort of predication about the future. Allyson Cooke is a union member and an employee of a company that manufactures surgical equipment. She believes she has a grievance because her supervisor made her work an hour longer than usual for several days and has refused to pay her any overtime. Cooke should contact her _____, who represents union members to management when workers have complaints. Someone help please im really stuck on this one Easy Math! Please give an explanation also if you can :) One teacher wants to give each student 13/8 slices of pizza. If theteacher has 22 slices of pizza, then how many students will she be able tohand out pizza to?HELP