The population of a certain town is growing at a constant rate. Suppose the population is 1900 initially, and after 4 years the population is 2212. Which of these expresses the rate at which the population is increasing?

Answers

Answer 1

Answer:

The rate of change relates the change in population to the change in time.  The population increased by 2212−1900=312 people over the four-years.  To find the rate of change, divide the change in the number of people by the number of years.

2212−19004=3124

3124/4 =78

So the population increased by 78 people per year.

Because we are told that the population increased, we would expect the slope to be positive.  This positive slope we calculated is therefore reasonable.


Related Questions

help please!!!!! (QUESTION #3)!!!!!!!

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I’m not sure I’m just guessing but maybe 7x minus 35

helppppp please I will give brainliest​

Answers

Answer:

y=1/3x-2

Step-by-step explanation:

find the missing side lengths. leave ur answers as radicals

Answers

Because of the 45 45 90 theorem since the hypotenuse is 9√2 x and y are both 9

Solve this inequality for x 81-1 1/5x < 55

Answers

Answer:

81 - 1 1/5 x < 55

Step-by-step explanation:

-1 1/5x < -26

-6/5x< -26

x < -26 * -5/6

x < 65/3

Answer:

the answer is C it was on my mid-term

Step-by-step explanation:

What is the first thing you do before solving an adding fraction problem
Pls help

Answers

Answer:

The first thing you do is make the denominators equal on both sides.

Step-by-step explanation:

As a example if you have the equation:

[tex]\frac{1}{2}[/tex] + [tex]\frac{2}{5}[/tex] =

you would multiply the denominator by the smallest multiple. I would do 2 * 5= 10

this would make the equation

[tex]\frac{x}{10} + \frac{x}{10} = ...[/tex]

next you have to do the same with the numerator.

so sence you multiplied the [tex]\frac{1}{2}[/tex] by five you will get [tex]\frac{5}{10}[/tex]

same with the other fraction except you multiplied it by two.[tex]\frac{2}{5}[/tex] x 2 = [tex]\frac{4}{10}[/tex]

next you add and simplify if needed

Answer:

3 simple steps

Step-by-step explanation:

1.     Make sure the bottom numbers ( the denominators ) are the same

       IF DIFFERENT find the LCD

2.    Add the top numbers (the numerators )

3.    simplify the fraction if needed

ex:  1/4 +1/4 = 2/4  (bottoms were the same) simplify  1/2

       1/3 + 1/6    LCD of 3 and 6 so make the bottom numbers 6

                         so multiply  1/3 x  2 = 2/6

        now you have 2/6 + 1/6 = 3/6    simplify 1/2

Find the distance of a line given the following points. R(3, 1), W(-1, -2)

Answers

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

we can solve this using the distance formula: [tex]\sqrt{(x_{2}-x_1)^{2} + (y_{2}-y_1)^{2}}[/tex]

[tex]x_1, y_1[/tex] is (3, 1)

[tex]x_2, y_2[/tex] is (-1, -2)

[tex]\sqrt{(1-3)^2 + (-2-1)^2}[/tex]

which simplifies to: [tex]\sqrt{(-2)^2 + (-3)^2}[/tex]

then: [tex]\sqrt{2^2 + 3^2}[/tex] or: [tex]\sqrt{4+9}[/tex]

your final answer is: [tex]\sqrt{13}[/tex] or about 3.61

Given 2x+4y=12 what is the x and y int

Answers

both are 2! 2x2=4 4x2=8 so 8+4=12

please help me for a question ​

Answers

What question do you need help with

Answer:

there is no question??

In how many ways can you arrange the books A, B, C, and D on a bookshelf if books A and C must remain neighboring?

Answers

i believe the answer is 4

pls help and explain if u can

Answers

Answer:

Step-by-step explanation:

6 - 3(x + 1) = 18 ⇔ 3 - 3x = 18 ⇒ x = 5

y - 6 = 17 ⇒ y = 23

z - 3 = 4z ⇒ z = - 1

18 - 3(0) = 9w ⇒ w = 2

========================

I'm going to solve for you some another question you asked, I did not see the right answer...  :)

There are two scenarios, because the expression under the module can be positive and can be negative: | 3x + 2| - 2 > 3 ⇔  | 3x + 2| > 5

(1). If (3x + 2) is positive then

3x + 2 > 5 ⇒ x > 3

(2). If (3x + 2) is negative then

- (3x + 2) > 5

- 3x - 2 > 5

- 3x > 7 ⇒ x < - [tex]\frac{7}{3}[/tex]

The final answer is x < - 2.3 or x > 1

Help guyssssssssssssss

Answers

Answer:

1

Step-by-step explanation:

Mrs canales class is selling pizza to earn money for a field trip. For every pizza sold the class makes $5.35. They have already earned $182.90 toward their $750 goal. How many more pizzas must they sell to earn $750 (algebraic approach) Thanks

Answers

Answer:

They still have to earn:

$750 - $182.9 = $567.1

and if they make $5.35 for every pizza sold:

$567.1 : $5.35 = 106

They must sell 106 pizzas more.  

Step-by-step explanation:

What is an equation of the line that passes through the points (4,1) and (8,-3)?

PLZZ HELPP MEE!!

Answers

Answer:

y=-x+5

Step-by-step explanation:

(4,1)

(8,-3)

1)a slope of a line is (y2-y1)/(x2-x1)

  so (-3-1)/(8-4)

  -4/4=>m=-1

2)to find y-int replace any points in the equation by x and y

so    1=-1(4)+b

        1=-4+b

        1+4=b

so b= 5

therefore the equation is  y=-x+5   so d

Jack has a saving account of value $65,550 at the start. The saving account has an interest rate of 3% that is compounded every six months. How long will it take Jack to have $100,000 in his account?

Answers

Given:

Principal value = $65,550

Rate of interest = 3% compounded every six month

To find:

The taken to have $100,000 in Jack's account.

Solution:

The formula for amount is

[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]

where, P is principal, r is rate of interest, n is number of times interest compounded in an year, t is time in number of years.

Interest compounded every six month. It means, interest compounded 2 times in an year.

Substitute A=100000, r=0.03 and n=2 in the above formula.

[tex]100000=65550(1+\dfrac{0.03}{2})^{2t}[/tex]

[tex]\dfrac{100000}{65550}=(1+0.015)^{2t}[/tex]

[tex]1.525553=(1.015)^{2t}[/tex]

Taking log on both sides.

[tex]\log (1.525553)=\log (1.015)^{2t}[/tex]

[tex]\log (1.525553)=2t\log (1.015)[/tex]

[tex]\dfrac{\log (1.525553)}{2\log (1.015)}=t[/tex]

[tex]t=14.1838928[/tex]

[tex]t\approx 14.18[/tex]

Therefore, after 14.18 year the amount will reach at $100,000 or we can say that in 15th year the amount will reach at $100,000.

I NEED HELP! Please.

Answers

Answer:

z = 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

4z - 4 = 3z + 8

z = 12

hey guys what is this type of equation/ question called 1 < x < 30

Answers

Answer:

2,3,4,5,6,7,8,9,10,...29

Step-by-step explanation:

Which part of this graph shows a nonlinear relationship?
Distance from home
2.
Time

Answers

Since 2 is not in a line
Answer=2

Answer:

thanks

Step-by-step explanation:

please solve this i will give you brainliest​

Answers

Answer:

1

Step-by-step explanation:

gvgbkhbgvbhjbjhbjhbhjnnj

someone helppp please!!

Answers

Answer:

because ΔMLN ≅ ΔYZX

=> MN = YX = 4

Step-by-step explanation:

Answer:

I think its four

Step-by-step explanation:

Ruth's credit card has an APR of 10,91%, and it computes finance charges using the previous balance method on a
30-day billing cycle. During the April billing cycle, she made a $45.17 payment on April 10th and a $88.34 purchase on
April 17th. Her total at the start of May was $847.64. What was her balance at the beginning of April?
a $890.91
b. $797.22
C.$796.87
d. $804.47
Please select the best answer from the choices provided

Answers

Answer:

It's B trust

Step-by-step explanation:

The required balance at the beginning of April is $796.87. Option C is correct.

What is interest?

Simple interest is defined as the percentage of earnings on the lending for a period of time

To determine Ruth's balance at the beginning of April, we can work backward from her total at the start of May.

Let's call Ruth's balance at the beginning of May "B".

We know that during the April billing cycle:

She made a $45.17 payment on April 10th

She made a $88.34 purchase on April 17th

The APR is 10.91%

So, B = B - $45.17 - $88.34 + (B * 0.1091 * 30 / 365)

Solving for B, we get:

B = $796.87

So, the answer is C. $796.87.

Learn more about your interest here:
https://brainly.com/question/20406888

#SPJ6

The marked price of a sweater at the clothing store was $24.
During a sale, a discount of 25% was given. A further 15%
discount was given to the customers who have the store's
credit card. How much would a member customer need to
pay for the sweater during the sale if the customer paid with
the store's credit card? Round your answer to the nearest
cent.
Enter the answer

Answers

24 x 0.75 = 18
18 x 0.85 = 15.3
Answer: Someone with the store's credit card would need to pay $15.30

the ratio 60 miles per hour is an example of a because it has two measurements having different units of measure

Answers

Answer:

180

Step-by-step explanation:

Answer: ejejejwjfmfmdnc

Step-by-step explanation:

I have $100 and I want to buy tshirt that cost $10 and sweatshirts that cost $20 how many tshirts and sweatshirts can I buy

Answers

Answer:

10 tshirts or 5 sweatshirts

Step-by-step explanation:

One t-shirt + one sweatshirt = $30.

We know that $100 ÷ $30 = 3 times with $10 left over.

This leads to the conclusion that you can buy 4 t-shirts and 3 sweatshirts.

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