The population of Columbus in 2015 was 840,000 people. In 2018 (three years later), The population grew to 972,405 people. Write an exponential equations that models this situation.

Answers

Answer 1

Answer:

N = I ( 1 + 50% )^t

Step-by-step explanation:

Given that The population of Columbus in 2015 was 840,000 people. In 2018 (three years later), The population grew to 972,405 people.

Write an exponential equations that models this situation.

From the question, the following parameters are given :

Initial number of population = 840,000

The new number of population = 972,405

The number of years = 3

Let the initial population = I

The new population = N

And the number of years = t

Since the population is increasing, the exponential equation can be written as

N = I ( 1 + R% )^t

Where R% is the percentage increase.

Solve for R

972405 = 840,000 ( 1 + R% )^3

972405/840000 = ( 1 + R% )^3

1.157625 = ( 1 + R% )^3

( 1 + R% ) = 1.05

Make R% the subject of formula

R% = 1.05 - 1

R% = 0.5

R = 0.5 × 100

R = 50%

Therefore, the exponential equations that models this situation can be expressed as:

N = I ( 1 + 50% )^t


Related Questions

Jorge gives an equal number of marbles to 6 friends. Which could be the total number of marbles he gave to his friends?

Answers

Answer:

D. 60

Step-by-step explanation:

To find an equal number of numbers the sum has to be equal to 6*x.

Answer:

If he gave it all to his friends then its D. If it is counting him too then C.

Step-by-step explanation:

Help! Need by 10:30 to turn in and I'm confused!

When Anthony contracted the flu, he needed tissues and cough drops. Each box of tissues cost $1.69 and each bag of cough drops cost $1.19. By the time he was well again, he had gone through a combined 13 boxes of tissues and bags of cough drops, and he had spent $19.47. How many boxes of tissues did he use? How many bags of cough drops?

Answers

Answer:

21.97 tissues

15.47 cough drops

Step-by-step explanation:

13x1.69=21.97

1.19x15.47

write an equation in slope-intercept form for the line that passes through (-3,1) and is parallel to the line described by y=4x+3

Answers

Answer:

y = 4x + 13

Step-by-step explanation:

m = 4 at point (-3,1)

y = 4x + b

1 = 4(-3) + b

1 = - 12 + b

b= 13

y = 4x + 13

Helpppp!! I’ll mark brainliest if you put it In fraction form as well!!!

Answers

24/5 is the answer.

8. In the first two basketball games, Lee scored a total of
40 points. If he scored 21 points in the second game,
how many points did he score in the first game?

Answers

Answer:

19

Step-by-step explanation:

40-21+19

anyoneeeeeee knows we thissds

Answers

This is a function because it is linear. If you draw a line at any point on the graph, the line will only intersect it once.

please help lol

I do not understand :)

Answers

Answer:

66

Step-by-step explanation:

So what you need to do is add up each of the faces so 3 times 3 and 3 times 8. Then after you do that you take the 9 and 24 and add em together.  Then multiply 33 by 2. I hope this helps :D

The correct answer would be 66

The quantities x and y are proportional. Use each of the integers 1-5 to complete the table. **CORRECT ANSWER IS GIVEN BRAINLEST POINTS**

Answers

Answer:

x    10    4    6     1

y     5    2     3    0.5

Step-by-step explanation:

You have to start with a guess and see if it works. If it works, you're done. If it doesn't work, you need to make a difference guess.

I'll start by guessing that above the 0.5 is a 1.

If that is correct, then every x value is double the y value below it.

5 goes below the 10. 3 goes below the 6. Then you have 4 and 2 left.

That is every whole number from 1 to 5. It works.

x    10    4    6     1

y     5    2     3    0.5

Margie wants to collect 3,600 cans of food to donate to a community food bank. She plans to collect an equal number of cans for 4 months.
How many cans c should she collect each month?
What should I put in each box?

Answers

Answer:

90

Step-by-step explanation:

30 POINTS!!! I WILL MARK YOU AS BRAINLIEST!!!!

Parallelogram PQRS is shown on the coordinate grid. Parallelogram PQRS is dilated with the origin as the center of a dilation using the rule (x, y) → (1.5x, 1.5y) to create parallelogram P'Q'R'S'.

Which statement is true?

A) Parallelogram P'Q'R'S' is larger than parallelogram PQRS, because the scale factor is greater than 1.
B) Parallelogram P'Q'R'S' is smaller than parallelogram PQRS, because the scale factor is less than 1.
C) Parallelogram P'Q'R'S' is smaller than parallelogram PQRS because the scale factor is greater than 1.
D) Parallelogram P'Q'R'S' is larger than parallelogram PQRS, because the scale factor is less than 1.

Answers

Answer:

C) Parallelogram P'Q'R'S' is smaller than parallelogram PQRS because the scale factor is greater than 1.

Step-by-step explanation:

1.5x, 1.5y is greater than 1 for the value of x.y

The correct answer will be A

Explanation:
In terms of PQRS, the parallelogram will be seen as the ratio x:1 and y:1 The new figure, P’Q’R’S will have a ratio of x:1.5 y:1.5.

Because P’Q’R’S has a larger ratio of that than the original parallelogram, the resulting figure will be larger than the original shape PQRS.

(This can also be proven in terms of dilating by a scale factor of 0.5, as this will be a smaller figure than that of the original, further proving the claim.

Mariah babysits for her neighbor every weekend. She earns $10 an hour for babysitting 6 hours each weekend. What term can Mariah use to describe the money she makes?

Answers

Answer:

Fixed income

Step-by-step explanation:

The $10 an hour won't change. If it did it would be a variable expense or income.

Hope this helped

❤️

Answer:

Fixed income

pls mark brainliest

can someone help please-​

Answers

Answer:

4

Step-by-step explanation:

Slope is equal to the change in  y  over the change in  x , or rise over run.

m = change in y /change in x

The change in  x  is equal to the difference in x-coordinates (also called run), and the change in  y  is equal to the difference in y-coordinates (also called rise).

m = y 2 − y 1/ x 2 − x 1

Substitute in the values of  x  and  y  into the equation to find the slope.

m = 8 − ( 0 ) /3 − ( 1 )

Simplify.

Simplify the numerator.

m = 8 /3 − ( 1 )

Simplify the denominator.

Multiply  − 1  by  1

m = 8 /3 − 1

Subtract  1  from  3

m = 8/2

= 4

Answer:
LETTER C.

bc
M=4 so 4 letter C just answer that bc it is right!!!

Josephine wrote the numbers 1-100 and placed them in a bag. If she selects a number without looking, what is the probability that the number is greater than 78? Input your answer as a decimal or fraction.

Answers

Answer:

0.22

Step-by-step explanation:

The numbers that would be greater than 78 would include numbers after 78. that is 79, 80 ... 100

The total numbers greater than 78 is 22.

And there are 100 numbers in the bag . the probability of picking a number greater than 78 is 22/100 = 0.22

95 degrees (5x) degrees

Answers

Step-by-step explanation:

5x=95

X=95-5

X=90

Therefore ans is 90

Erin created a scale drawing for a garden that will be 10 ft by 5 ft. She plans to include a section in the garden for herbs, which will be 2 ft by 5 ft. On Erin’s scale drawing, the entire garden is 12 in. by 6 in. What are the dimensions of the herb garden on the scale drawing?

(GIVING BRAINLIEST) if you solve it

Answers

Answer:

The dimensions of the herb garden on the scale drawing are 2.4 by 6 inches

Step 1 (finding the scale factor):

12/10 (inches/feet) or 1.2 (inches/feet)

(1.2 inches in the drawing represent 1 foot in real life)

Step 2 (finding the dimensions of the herb garden on the scale drawing):

Real life dimensions are 2ft by 5ft so we multiply by the scale factor:

2ft = 2 x 1.2 = 2.4 inches

5ft = 5 x 1.2 = 6 inches

So the dimensions of the herb garden on the scale drawing are 2.4 by 6 inches.

Company A charges a flat fee of $20 and $24.95 per hour to install cable. Write an equation in slope-intercept form to represent the company's charges.

Answers

Answer:

y = 24.95x + 20

the area of triangle is 48 cm sq,its base is 12 cm. find its altitude​

Answers

Answer:

its altitude is 8 cm

Step-by-step explanation:

1/2× base ×altitude =48

1/2×12× al =48

6×al =48

al = 8

Please help ! (only right answers please )!

Answers

Answer:

c

Step-by-step explanation:

PLSSSSSS HELPPPPPPP FAST WILL GIVE BRAINLIEST

Answers

The answer is the last option, hope this helps lol

Answer:

C. and D.

Step-by-step explanation:

We can cross of A. because if A. were to be correct, nothing else would be correct.

Now we know it has to be B. or C. and D.

D. has to be one of them since you can't have B. and C.

To find out if it is either B. or C. we need to think into it more. So if we had the mean of 80%, that means we need to have some scores over 75%. That would be C. since it says 75% or greater.

Miguel and three friends went to the movies. each boy spent 9.50 on a ticket and had the same amount of money leftover. They originally had total of $48. How much money did each person have left after buying their ticket?

Answers

Answer:

$2.5

Step-by-step explanation:

4 people went to the movies and spent $ 38 ( 9.50* 4= 38) since  48-38 = 10

they totally have 10 dollars left. 10/4 = 2.5  They each $2.5 left

Please help me<3 <3 <3 <3 <3

Answers

Answer: (B) SinA = 4/5

Step-by-step explanation: Sine= O/H or opposite of hypotenuse so in regards to the triangle opposite is 28 and hypotenuse 35 or 28/35 which also equals 4/5

7x + 49y + 21

need the answer

Answers

Answer:

factor: 7(x+7y+3)

simplifies: There are no like terms.

Step-by-step explanation:

7 (x+7 y+3)

No like terms.

Hope this helps :)

I really need the help

If you randomly select a letter from the phrase "Terrace Park Wolves rule," what is the probability that you select a consonant? (Your answer must be in the form of a reduced fraction.)

Answers

The sentence has 22 letters. There are 13 consonants.
13/22 x 100% ≈ 59,1% chance that you pick a consonant.

The probability of selecting a consonant is 0.619

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

The phrase is = "Terrace Park Wolves rule"

The number of letters in the phrase = 21 letters

The number of consonants in the phrase = 13 letters

Now ,

The probability of choosing a consonant from the given set of letters =
number of letters in the phrase / number of consonants in the phrase

Probability of choosing a consonant from the given set of letters = 13 / 21

Probability of choosing a consonant from the given set of letters = 0.619

Hence , The probability of selecting a consonant is 0.619

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ5

1.6 y - 0.7 + 3.8y + 2

Answers

Answer: 5.4y + 1.3

Step-by-step explanation:

Combining like terms

5.4y + 1.3

5.4y+1.3

Step-by-step explanation:

Lin’s father is paying for a $20 meal. He has a 15% off coupon for the meal. After the discount, a 7% sales tax is applied. He does NOT add tip

Answers

answer: $18.19

step by step explanation:

first you must find the amount of money that lins father gets off on the coupon by using the equation 20•0.15=3 meaning that lin’s father gets 3 dollars off

next you find the pre-tax total which in this case would be by using the equation 20-3=17 so the pre-tax total is 17 dollars

then you find the percentage of the tax that you have to add on to the pre-tax total which would be using the equation 17•0.07 and that equals 1.19 dollars in tax

finally, you add the pre-tax total with the sales tax by adding the two (17+1.19) to get a total of 18.19 dollars or $18.18

Rosa had $275. This table shows the items she purchased from the mall.
how much money did she had left over

Answers

Add all of the items together and subtract the total from $275, that will be your answer.

Use the drawing tools to form the correct answer on the pro
Graph the line that represents the equation y=-x + 1

Answers

Answer:

Y=3x-4

Step-by-step explanation:

DATE and time I have to wait to see what is the cheapest type I have a clash on my side to be with my referral link for my referral link for and I have to go back to the phenotype to get the rest to work on my own computer and have been working on the impostance of the

4 x³ + 8x what is the answer​

Answers

4x • (x2 + 2) I think it’s this

Is this right? Please help me

Answers

f(x) = (x - 1)(x + 6)

x - 1 = 0 or x + 6 = 0
x = 1 or x = -6

Find the circumference of the circle. 6​

Answers

Answer:

2 x 6 x 3.14 = 37.68

Other Questions
Monica has included this quotation in her research paper about Buddy Hollys impact on modern music:Buddy Holly is often recognized as one of the most important influences on rock and roll music.What does Monica need to include with the sentence to avoid plagiarism?A. an in-text citationB. a reference pageC. a style guideD. an annotation 4(x 3) need help answering this question How does the moon maintain angular momentum despite the earth exerting a net force? eqfrtvwetsbhsrtzdvcsrtbdhv Describe the contributions made by various scientists to the discovery of the structure of DNA that we have discussed in this class During dna replication a dna strand that has the bases CTAGGT produces a strand with the bases 1. The cost of a fish dinner for a restaurant is $7.95. If they sell it for $11.95, what is the percent markup?2. If the present salary of an employee is $36,500 and they are to receive a 7% raise next year, what will be the new salary?3. In 1810, the U.S. land size was 1.68 square miles (in millions). In 1850, it was up to 2.94 square miles (in millions). What was the percent increase? 3912 divided by 48!!!!!!!!! Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeee Please help with this look below! : ) Write the measure in descending order 0.5m - 480mm - 55cm PLEASE HELP ILL GIVE YOU BRAINLIIEST The common ratio of a geometric sequence is 3 and the 8th term is 4,374. What is the 4th term in this sequence? you have a sample of 23.8 g of C2H6. how many moles of C2H6 are in the sample?Be sure to show your work and each step is writing out clearly. can someone help with this!!! Im a little stuck! The points represented by the (x, y) coordinate pairs all lie on line "k". These are the points: (1,3), (2, 1), (3,-1). (4.-3), and (5,-5). What is the slope of line k? A.2 B.5 C.-3 D.-2 Candace makes a sugar-water mixture for hummingbirds. She knows the amount of sugar used in the mixture is proportional to the amount of water used.Which of the following could represent the relationship between the amount of sugar and water Candace should use in the mixture? Can someone plz help me with this one problem plz!! what you have notice while reading the gift of the magipasagot agad brainliest answer to the correct answer A student entering high school is pursuing STEM education. What can you infer about this student?The student is uncomfortable applying math and science skills.The student is curious about the world and likes to investigate how things work within it.The student enjoys studying concepts rather than applying techniques to solve a problem.The student is an intuitive thinker who makes decisions based on how he or she feels at the time. HELP URGENT DUE IN 5 MINUTES URGENT PLEASE natural magnet is known as _________