A city's population increases by 5% every year. If its population today is 300,000, write a function that models the population after x years.

Answers

Answer 1

Answer:

f(x) = 300,000(1.05)^x

Step-by-step explanation:

Use the exponential growth equation:

f(x) = a(1 + r)^x

Plug in 300,000 as a, since it is the original population:

f(x) = 300,000(1 + r)^x

The city's population is growing at 5% each year, so plug in 0.05 as r:

f(x) = 300,000(1 + 0.05)^x

f(x) = 300,000(1.05)^x

So, the function for the population growth is f(x) = 300,000(1.05)^x


Related Questions

IF YOU GOOD AT DIS HELP ME PLEASE

Answers

Answer:

I am good but can't see the photo...

Judy wants to buy 3 jars of shea butter lotion. Store 2 sells it for $9.29 with a 40% off coupon. Which of the following statements is true about the two offers before tax is added?

Answers

Where is the rest of the question?

The box for a computer game measures 19 cm by 14 cm by 1.5 cm. What is the total amount of plastic wrapping needed to cover the entire box if an extra 66 square cm are needed to allow for overlapping at the edges?

Answers

Answer:

697 cm²

Step-by-step explanation:

The box for a computer game measures 19 cm by 14 cm by 1.5 cm.

The amount of plastic wrapping needed to cover the entire box is calculated using the formula for the Surface Area of a rectangular prism

The formula is given as:

A=2(wl +hl + hw)

W = Width = 19cm

L = Length = 14 cm

H = Height = 1.5 cm

2 × (19 × 14 + 1.5 × 14 + 1.5 × 19)

= 631 cm²

Therefore, the total amount of plastic wrapping needed to cover the entire box if an extra 66 square cm are needed to allow for overlapping at the edges is calculated as:

631 cm² + 66 cm²

= 697 cm²

Two sets of data are shown.
Data Set A: 24, 11, 26, 14, 24, 14, 24, 11, 23
Data Sot B. 24, 19, 18, 16, 30, 27, 30, 12, 22
8
Choose the phrase that would make the statement true.
The mean of Data Set A is
the mean of Data Set B.
equal to
2 less than
4 less than
1 more than
3 more than
5 more than
1 less than
3 less than
5 less than
2 more than
4 more than

Answers

Answer:less than.

Step-by-step explanation: it less than something.

Janessa is playing a board game with two friends. Using a single die, one friend rolled a four, and the other friend rolled a three. Janessa needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning.

Is the probability of Janessa winning an independent event or dependent event? Why?

O) Her probability of winning is an independent event because it depends on the results of her friends’ rolls.

O) Her probability of winning a dependent event because it does not depend on the results of her friends’ rolls.

O) Her probability of winning is an independent event because it does not depend on the results of her friends’ rolls.

O) Her probability of winning is a dependent event because it depends on the results of her friends’ rolls.

Answers

B) her probability of winning is a dependent event because it does not depend on the results of her friends’ rolls.

Plzzzz help !!!! I need this done

Answers

Answer:

A) x + 2 ≤ 3

Step-by-step explanation:

To solve for this, you subtract 2 from both sides leaving you with:

x ≤ 1

which is what the graph is showing.

Brendan saved $39 in July, and $46 in August. Then Brendan spent $12 on school supplies and $83 on new school clothes. How much money does Brendan have left?

Answers

Answer:

-10

Step-by-step explanation:

39+46=85-12-83= -10

Answer:

Brendan has $-10 dollars left over.

Step-by-step explanation:

39+46=85

85-12-83=-10

A cylindrical container of three rubber balls has a height of 27 centimeters and a diameter of 9 centimeters. Each ball in the container has a radius of 4.5
centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number.

Answers

Answer:

Volume of space in cylinder = 572.27 cm³ (Approx.)

Step-by-step explanation:

Given:

Height of cylinder = 27 cm

Diameter of cylinder = 9 cm

Radius of cylinder = 9 / 2 = 4.5 cm

Number of sphere ball = 3

Radius of sphere ball = 4.5 cm

Find:

Volume of space in cylinder

Computation:

Volume of space in cylinder = Volume of cylinder - Volume of 3ball

Volume of space in cylinder = πr²h - 3[(4/3)πr³]

Volume of space in cylinder = [22/7][4.5]²[27] - 3[(4/3)[22/7][4.5]³]

Volume of space in cylinder = [(3.14)(20.25)(27)] - [(4)(3.14)(91.125)]

Volume of space in cylinder = 1,716.795 - 1,144.53

Volume of space in cylinder = 572.265

Volume of space in cylinder = 572.27 cm³ (Approx.)

If Mary Alice buys the car for $35,000 and pays 20% down, how much will she finance? If she finances this balance for 6 years at the special rate of 0.9% add-on interest, how much will her monthly payments be? What is the total cost of the car if she finances it

Answers

Answer:monthly is 598.90 total is 43120

Step-by-step explanation:

Tareq is 7 years old and his older sister Fatma is 10. Tareq challenges his sister to a pizza eating contest. They each make an identical extra extra large pizza. Tareq eats 2/8 of his pizza. His sister Fatma eats 3/4 of her pizza. Who ate more pizza and how do you know?

Answers

Answer:

Fatima ate more pizza

Step-by-step explanation:

Assume

The total pizza = 1

Tareq eats 2/8 of his pizza

Tareeq = 2/8 of 1

= 2/8 * 1

= 2/8

= 0.25 of his pizza

Fatma eats 3/4 of her pizza

Fatima = 3/4 of 1

= 3/4 * 1

= 3/4

= 0.75 of her pizza

The pizza is identical in size

Therefore,

Fatima ate more pizza

I got to know this by finding the decimal of fraction eaten and picking the larger decimal value as who ate more pizza

JH is a nidsegment of KLM. Find the Value of x.​

Answers

Answer:

Step-by-step explanation rise the 7 over the x and multiply 7 and 100 and put that answer as x

Only have a few questions left please help ;-;

Answers

Answer:

Hello! answer: 100

Step-by-step explanation:

25 + 55 = 80 180 - 80 = 109 therefore the answer is 100 HOPE THAT HELPS!

Answer:

B

Step-by-step explanation:

25 + 55 = 80 and 180 is for the total so it would be 100 degrees

80 = 100 = 180

Calculate the volume of the rectangular prism. Show your work on the workspace and put your final answer in the answer box. You don't need to put your answer into simplest form.

Answers

Answer:

0.21 or 21/100

Step-by-step explanation:

All you have to do is find the decimal to each fraction the multiply to get 0.21

Which of the following measurements could be the side lengths of a right triangle?
a. 30 in, 45 in, 50 in
b. 25 in, 40 in, 50 in
c. 30 in, 40 in, 60 in
d. 30 in, 40 in, 50 in

Answers

i think the answer would be d

find the value of x in the figure

Answers

x=9 im pretty sure :))

A survey of 300 people found that 30 of them likes hip-hop music. What percent of the people in the survey likes hip-hop music? Right answer gets brainliest!!

Answers

Answer:

10%

Step-by-step explanation:

30/300 people like hip-hop

So, 1/10 or 10% like hip-hop

Answer: 10%

Step-by-step explanation: 30% out of 300% is like 10% out 100%

How many fluid ounces are there in 8 pints +5 cups

Answers

168 US fluid ounces

Hope this helps!

pls help me i will make u brainest

Lara is playing a video game where she hunts for treasure, like these gems:


A sapphire is worth 5 gold coins, and a ruby is worth 8 gold coins.

On her last hunt, Lara found 17 gems, all either rubies or sapphires, and sold them for 100 coins. How many sapphires did she find?

Answers

Answer:

12 sapphires

Step-by-step explanation:

Let's call the number of sapphires x. This means the number of rubies is the total number of gems minus x, or 17-x.

# of Sapphires: x

# of Rubies:17-x

A sapphire is worth 5 (gold coins) each, and a ruby is worth 8.

We also know the total amount of money is 100 coins, so

5*x+8*(17-x)=100

5x+136-8x=100

-3x=-36

x=12

Remember:

# of Sapphires: x

# of Rubies:17-x

...so Lara found 12 sapphires and 17-12=5 rubies.

The number 5 becaus eid the cold and yea no

A pair of sneakers on sale for 20% off if the discount is $26 what is the original cost of the the sneaker

Answers

Answer:

$32.50

Step-by-step explanation:

[tex]\frac{26}{y} :\frac{80}{100}[/tex]

y · 80 = 26 · 100

80y = 2600

80y ÷ 80 = 2600 ÷ 80

y = 32.5

the answer is $32.50.... good luck

A certain psychological test measures empathy and emotional intelligence. The score, S, of a randomly selected senior student at a large university has a mean of 123 and a standard deviation of 29. The score, F, of a randomly selected first-year student at a large university has a mean of 104 and a standard deviation of 34.

Suppose we randomly select one senior student and one first-year student. We can consider S and F to be independent random variables.

Calculate the standard deviation of the difference D = S – F.

σD = 17.7482
σD = 19
σD = 44.6878
σD = 227

Answers

Answer:

The correct answer is 44.687

Step-by-step explanation:

Got it right on Edge assignment

Answer:

it was 44.6878 on my EDGE

Step-by-step explanation:

HELP ME!!!!!!!
Bananas cost $0.59 per pound. Write an equation that could be used to find the total cost, y, of x pounds.

Answers

Answer:

y= .59x is the total cost per pound

Answer:

the equation: y = 0.59*x

a car travels 125 miles in 3 hours how far will the car travel in 5 hours. unitary method​

Answers

728/883j829/873739-2829138484
answer: 208 miles in 5 hours

Which equation has a solution of x = 9?
O 11 - 2x = 29
O 3x + 2 = 25
O4 + 5x = 18
O 2x - 3 = 15


Answers

Answer: 2x-3=15

2(9)-3=15
18-3=15

5x + 2(x + 4) = 64
how do I solve for something like this and figure out what x equals?​

Answers

Answer:

There are many way to solve this problem. But I'm using one X = 5 and X = 8.

Step-by-step explanation:

5 x 10 = 50

50 + 2 = 52

52 + 12 = 64

Heads up

4 + 8 = 12

Answer:

x=8

Step-by-step explanation:

first you have to multiply 2 and x and then 2 and 4. You should get 2x + 8. then you should add comon numwrals which would be 5x and 2x to get 7x. your equation should now be 7x + 8= 64. then subtract 8 from 64 to get 56. it should now be 7x = 56. devide 56 by 7 and 7x by 7. your answer is x=8

Write 47/7 as a mixed number

Answers

answer is 6 5/7

Step-by-step explanation:

hope this helps

what is the answer for 2a^2+6b^2=4c^2

Answers

Answer:

Step-by-step explanation:

2a^2 + 6b^2 = 4c^2        Divide everything by 2

a^2 + 3b^2 = 2c^2

I can't take this any further without more information.

En una fábrica automovilística una máquina pone en total 15,000 tornillos en las 8 horas de jornada laboral funcionando de forma ininterrumpida. ¿Cuántos tornillos pondrá en 3 horas?

Answers

Answer:

120

Step-by-step explanation:

A bag contains tickets numbered 1 through 5. Use the probability distribution to determine the probability of drawing an even numbered ticket.​

Answers

Fkiuytghhfessxggffgg

How many combinations of 3 playing cards (from a 52-card deck) exist?

Answers

Answer:

22,100

Step-by-step explanation:

pls trust me i just took the test

The number of combination of 3 playing cards from 52 card deck is 22100.

What is Combination?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

Here, total cards = 52

         cards to be selected = 3

So, total possible combination = ⁵²C₃

                                                    = (52 X 51 X 50) / (3 X 2 X 1)

                                                   = 22100

Thus, the number of combination of 3 playing cards from 52 card deck is 22100.

Learn more about Combination from:

https://brainly.com/question/25351212

#SPJ2

in a triangle ABC, A= 29°, B=36° and b=15.8cm. Find a, using sine rule.​

Answers

a= (b sin A)/ sinB

a= (15.8 sin29)/ sin36

a= 13.03 cm