The population of North Carolina was approximately 9.5 million in 2010. The population has increased by about 1.3% per year. If the population continues to grow at this rate, in what year will North Carolina’s population reach 12 million?

Answers

Answer 1

The population of North Carolina will reach 12 million in the year 2028.

What is Population Growth?

Population growth is defined as the increase in the number of people which is calculated using population growth rate.

Given that,

Population in 2010 = 9.5 million

Population is increasing to 1.3% per year.

Annual growth rate = 1.3% = 1.3/100 = 0.013

We have the population growth formula,

P = P₀ e^(r t)

Here, P₀ = 9.5 million = 9,500,000

and P = 12 million = 12,000,000

r = 0.013

We have to find t.

12,000,000 = 9,500,000 e^(0.013t)

120 / 95 = e^(0.013t)

Taking natural logarithm on both sides and also ㏑(e^m) = m ㏑ e, we get,

㏑(12/9.5) = 0.013t × ㏑e

[㏑(12/9.5) ÷ 0.013] = t  [since ln e = 1]

t = 17.97 ≈ 18 years

The year is 2010 + 18 = 2028

Hence in the year 2028, the population will be 12 million.

Learn more about Population Growth here :

https://brainly.com/question/29885709

#SPJ1


Related Questions

Find the median.
68.4, 57.6, 72.3, 105, 82.9, 120.3

Answers

Answer:

Median=

77.6

by-step explanation:

- Elaina <3

hope this help ;)

Please help in this question. I WILL mark brainliest. NO LINKS

Answers

Answer:

B, you are correct

Area of the bigger trapezoid = (6 + 2) x 1/2 x 6 = 8 x 1/2 x 6 = 4 x 6 = 24

Area of the smaller trapezoid = (4 + 2) x 1/2 x 3 = 6 x 1/2 x 3 = 3 x 3 = 9

Area of the shaded area = 24 - 9 = 15

Hope that helps! :)

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

A scuba diver is swimming 20 feet below the surface of the water. His wife is
swimming 6 feet above him. What is the elevation of his wife, relative to the
surface of the water? *
26 feet
14 feet
- 14 feet
- 26 feet

Answers

He is 20 feet underwater and she is 6 feet above him which makes her 14 feet underwater:
20-6= 14 ft!

Please help me with this

Answers

Answer:

Heads has 3 branches - Blue, Yellow, Red

Tails has 3 branches - Blue, Yellow, Red

Step-by-step explanation:

Sample Space:

H/B

H/Y

H/R

T/B

T/Y

T/R

H/B

H/Y

H/R

6 possible outcomes

write each percent as a fraction and
as a decimal.
7/100%
I NEED THIS BY 2:30PM

Answers

7/100% can be written as a fraction as 7/100, and as a decimal as 0.07.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{7}{100}\%}[/tex]

[tex]\mathsf{= \dfrac{7}{100} \div 100}[/tex]

[tex]\mathsf{= \dfrac{7}{100}\times \dfrac{1}{100}}[/tex]

[tex]\mathsf{= \dfrac{7(1)}{100(100)}}[/tex]

[tex]\mathsf{= \dfrac{7}{1,000}}[/tex]

[tex]\mathsf{= 0.0007}[/tex]


[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{7}{1,000} \ \& \ 0.0007}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

s/4 +5=13




How do i solve thissssssss

Answers

[tex]\dfrac{s}{4} +5=13[/tex]

Simplify:

[tex]\dfrac{1}{4} s+5=13[/tex]

Subtract 5 from both sides:

[tex]\dfrac{1}{4} s+5-5=13-5[/tex]

[tex]\dfrac{1}{4} s=8[/tex]

Multiply both sides by 4:

[tex]4\times(\dfrac{1}{4} s)=4\times(8)[/tex]

[tex]\fbox{s = 32}[/tex]

Answer:

s = 32.

Step-by-step explanation:

1. Write the expression.

[tex]\frac{s}{4} +5=13[/tex]

2. Subtract 5 from both sides of the equation.

[tex]\frac{s}{4} +5-5=13-5\\ \\\frac{s}{4} =8[/tex]

3. Multiply by "4" on both sides of the equation.

[tex]\frac{s}{4}*4 =8*4\\ \\s=32[/tex]

4. Verify.

If the result is correct, then the equation should return the same value of both sides of the equal symbol (=) when we substitute the variable "s" by it's calculated value, 32.

[tex]\frac{(32)}{4} +5=13\\ \\8+5=13\\ \\13=13[/tex]

As you can tell, the same number appears on both sides of the equal symbol, this means that the result is correct!

-------------------------------------------------------------------------------------------------------

Learn more about solving equations here:

brainly.com/question/28282032

brainly.com/question/28306861

brainly.com/question/28285756

brainly.com/question/28306307

brainly.com/question/30015231

brainly.com/question/29888440

with a 5% sale discount the price of an item is $38 what was the original price​

Answers

Answer:

[tex]38 \div5 \\ [/tex]

the original price is $40


PLEASE HELP 30 POINTS

Answers

the answer is yes i believe

which points are separated by 3 units?

Answers

2,4 & 2,7 since 6,3 & 6,1 is only separated by two units :)

Is there anyone who can help with this Statistic assignment?
Choose a topic for you survey.
Determine and write 5 relevant questions to include in your survey.
* Write 2 flawed survey questions and identify what makes each one flawed. Then rewrite each question so it is no longer flawed.
*Write 3 survey questions that are not flawed.
Choose and describe an appropriate sampling method and explain why this method was chosen and how it will ensure an unbiased sample.

Answers

Answer:

The difference between a flawed and non-flawed survey question is usually bias; you don't want the question to seem like it's leading the reader to any one answer, it should be worded neutrally. The best method to find non-biased samples is to select your samples randomly.

I need help in this?!!!!!!!!!!!!!!!

Answers

Answer:

B (2,-3) A (7,-8)

Step-by-step explanation:

they are just the same points but in the negative side of the x-axis

I don’t understand this ssshh

Answers

After evaluating the given expressions the results could be 245 / 89 , 43/6, 33/4 .

What is expression ?

expression can be defined as with the minimum of two variables or numbers and at least one math operation.

Given that ,

7/ 8  * 14  / (3/8 * 6 ) + 2  1/5

= (7/8 * 14 )/ ((18 / 8) + 11/5)

= (98/ 8 ) / (90 + 88) / 40

= (98/ 8 ) /  (178/ 40)

= (98 * 40) / (8* 78)

= 245/89

Hence the final value could be 245/53.

7/ 8  + (6*7/8 - 4 * 3/16 ) / (3/4 )

(7/8 + (21/4 - 3/4 ) )  / (3/4)

(7/8 + 18/4)  / (3/4)

(43/8) / (3/4)

43/6

Hence the final value could be 43/6.

3  1/7  * (3 1/3 * (2/3 + 1/6 ) - 5/18 ) / 2 (3/7)

11/7 * (10/6 - 5/18) / (17/7)

(11/7 )* (27/ 18) /( 17/7)

(11* 27/18 )/ (17)

33/34.

Hence the final value could be 33/34.

To learn more about expression from the given link.

https://brainly.com/question/1859113

#SPJ1

Malia signed up for a gym membership 14 weeks after Jane.
Let a represent the number of weeks Malia has been a member and b represent
the number of weeks Jane has been a member.
Find the value of b when a = 9.

Answers

When Malia joined a gym 14 weeks after Jane did, the value of b was 5.

What does "proportional relationship" mean?

Relationships between two variables where their ratios are equal are known as proportional relationships. The fact that one variable is always a constant value multiplied by the other in a proportionate connection is another way to conceive of them.

What is a good illustration of an unproportional relationship?

A car's fuel capacity and efficiency, as well as how far it can go on a single charge of its electric battery, are important considerations. A nonproportional connection can be used to describe this.

a + b = 14

9 + b = 14

b = 14-9 = 5

To know more about proportional relationship visit:-

https://brainly.com/question/29765554

#SPJ1

3 ratios that are equivalent to 15/40

Answers

Answer:

3.8 ,6.16 , 9.24

Step-by-step explanation:

complete the square to find the vertex of this parabola x^2 + 14x-y-14=0 ​

Answers

Answer:

(-7,-63)

Step-by-step explanation:

In what quadrant does the angle 9pi/ 5 terminate?

Answers

the angle 4pi/5 in quadrent 2

9514 1404 393

Answer:

  9π/5 terminates in Quadrant IV

Step-by-step explanation:

The attached shows the terminal ray (OP) of the angle with measure 9π/5 ≈ 5.65 radians. It lies in the 4th quadrant.

Match each expression on the left with an equivalent expression on the right. Some answer choices on the right will not be used.
3
16
0.85
100
0.425
0.375
3
4
0.316
0.38
40

20
0.1875

Answers

We have mapped the correct equivalent expressions.

3/16 ⇒ 0.1875

0.85 ⇒ 17/20.

3/8 ⇒ 0.375.

0.425 ⇒ 17/40.

What is the equivalent expression?

An equivalent expression is a mathematical expression that has the same value as another expression but is written differently. Equivalent expressions can be obtained by using the properties of arithmetic such as the commutative, associative, and distributive laws.

3/16 can be described as 0.1875

0.85 can be described as 17/20.

3/8 can be described as 0.375.

0.425 can be described as 17/40.

Hence, we have mapped the correct equivalent expressions.

3/16 ⇒ 0.1875

0.85 ⇒ 17/20.

3/8 ⇒ 0.375.

0.425 ⇒ 17/40.

To learn more about the equivalent expression, visit:

https://brainly.com/question/15775046

#SPJ1

1/4×1/12 ÷ 1 page = blank
1page​

Answers

Answer:

0.02083333333

Graph the solution to this inequality on the number line.
The

Answers

Using a straight line and either an open circle or a closed circle to indicate the end points, we can depict inequalities on a number line by displaying the range of integers.

How do you identify inequalities?

By drawing a straight line and designating the end points with either an open circle or a closed circle, we can depict inequalities on a number line by illustrating the range of integers. An open circle indicates that it excludes the value. A closed circle indicates that it does contain the value.

Both equations and inequalities are mathematical phrases created by connecting two expressions. The equal sign (=) in an equation denotes that the two expressions are regarded as equal. In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >,,, or.

With regard to the inequality expression

-3m + 5 > 14

5 from each side is subtracted.

-3m + 5 - 5 > 14 - 5

-3m > 9

Subtract -3 from both sides.

-3m/-3 < 9/-3

m < -3

To learn more about inequalities refer to:

https://brainly.com/question/24372553

#SPJ1

Translate the following sentence into an inequality: Four more than a number is greater than or equal to 17.

Answers

Answer: 4 + n >= 17

Step-by-step explanation:

Which ordered pair represents the solution to the system of linear equations?

Answers

Answer:

0,2

Step-by-step explanation:

because because it crosses the x-axis line only one time

Someone answer this no wrong answers begs I’ll give thanks and brainliest

Answers

Answer:

660

Step-by-step explanation:

Identify the slope and y-intercept of the line given by the equation: y = 1/3x - 2

Answers

Answer:

this is in the form of slope intercept. y = mx + b

m is the slope

and b is the y intercept

meaning that -2 is the y intercept

and 1/3 is the slope

(meaning on a graph you go up one, and over 3)

Step-by-step explanation:

Write an equation in standard form passing through the given point and parallel to the given line: (-1,-1) y = - x - 5

A: x - y = -2
B: x + y = 0
C: x - y = 0
D: x + y = -2

Answers

Option D, x + y = -2 is the equation in standard form passing through the (-1,-1) and parallel to y = -x - 5.

What is standard form?

The process of expressing a specific element in mathematics in the most typical way is known as standard form. Every element of mathematics, including big and small numbers, equations and lines, is designated in a standard form.

A standard form is a way of expressing a certain mathematical idea, such as an equation, number, or expression, in a way that adheres to a set of rules. The standard form is used to clearly represent extremely large or extremely small numbers.

To write an equation in standard form passing through the (-1,-1) and parallel to y = - x - 5, we need to find y-intercept form first

We know that parallel lines have same slope, so

y - y1 = m(x - x1)

y -(-1) = -1(x -(-1)

y + 1 = -x - 1

y = -x - 2

y + x = -2

Thus, Option D, x + y = -2 is the equation in standard form passing through the (-1,-1) and parallel to y = -x - 5.

Learn more about standard form

https://brainly.com/question/29000730

#SPJ1

can anybody help me please :(​

Answers

Answer:

A, D, C, B

Step-by-step explanation:

A = 3/4 + 5/4 = 8/4 = 4

B = 7/4 + 5/2

= LCM of 4 and 2 = 8

= 14/8 + 20/8 = 34/8 =17/4

C = 4/3 + 5/3 = 9/3 = 3

D = 11/3 - 4/3 = 7/3

A=4, B=17/4, C=3, D=7/3

LCM of  4 and 3 is = 12

= 16/12, 51/12, 36/12, 28/12

Sorry if I am wrong :)

Answer:

A=4, B=17/4, C=3, D=7/3

Step-by-step explanation:

What is the length x of a diagonal support, to the nearest tenth of a foot?

CORRECT ANSWER

PROVIDE EXPLANATION

Answers

The length of x of a diagonal support is 13.8 feet.

What is the hypotenuse of a triangle.

The hypotenuse of a triangle is the length of the longest side of the triangle. So that it is always opposite to the measure of the largest angle of a triangle.

In the question given, divide the length of the footbridge into 2 parts.

So that,

Half of the footbridge = 25/ 2

                     = 12.5 ft

So that applying the appropriate trigonometric function to determine the value of x using any of the congruent triangles. We have;

Sin θ = opposite/ hypotenuse

Sin 65 = 12.5/ x

x = 12.5/ Sin 65

  = 12.5/ 0.90631

x = 13.792 feet

The length x of a diagonal support is 13.8 feet.

Learn more about the hypotenuse of a triangle at https://brainly.com/question/21339189

#SPJ1

Which shape is NOT a trapezoid? I​

Answers

Answer:

a shape that is not a trapezoid is a a square or a triangle

Step-by-step explanation:

Please answer correctly. I will give brainliest.
A packing operator can assemble 4 cardboard boxes in 5 minutes. At this rate, how many boxes can she assemble in 25 minutes?
A.
12
B.
24
C.
20
D.
28

Answers

Answer:

C=20

Step-by-step explanation:

1. 25÷5=5

2. 5×4=20

I hope this helped☺

1010101010101010010101001010100101100101010+40

Answers

Answer:

1.010101e+42

Step-by-step explanation:

Answer:

1010101010101010010101001010100101100101050

Step-by-step explanation:

1010101010101010010101001010100101100101010+40=1010101010101010010101001010100101100101050

What’s (3 , 1)reflected over the x-axis

Answers

(3,-1) to reflect over the x axis is to make the y coordinate negative

Answer:

(3,-1)

Step-by-step explanation: because all you have to do is reflect it over the x-axis

Other Questions
electron microscope magnify up to __________ How does the structure of the Taj Mahal reflect the Muslim culture of the Mughal era? what saved jamestown from complete destruction? What was the purpose of the Lend-Lease Act of 1941? The state legislature of Kansas enacts a statute to regulate trucking that affects interstate commerce. This statute will be balanced in part in terms of What was the United States' main goal during the Cold War?a) containing the spread of communismb) protecting America's alliesc) electing African Americans to Congressd) integrating public schools Order the CRIMINAL jurisdiction of the following courts from the LOWEST to the HIGHEST (smallest court to the biggest court) 1. Supreme Court of the U.S. 12. Court of Appeals * 3. Justice of the Peace Court 14. District Court 15. County Court at Law 6. Court of Criminal Appeals What is the main point in Trifles? What is the difference quotient of the function g(x) = 4^x Round 123.7561 to the nearest hundredth place scrooge changes but? How are proteases activated in the stomach and small intestine? Use the data in the table below to create a scatter plot. Based on your scatter plot, does the datahave a correlation? If so, what kind? A. No - the data has no correlationB. Yes - there is a negative correlationC. Yes - there is a positive correlationD. There is not enough information to answer Why is Earth unevenly heated?A. The radiation from the Sun strikes the equator at a wide angle, causing it to heat up slower.B. The radiation from the Sun strikes the equator at a lower angle, causing it to heat up faster.C. The Earth comes closer to the Sun during Summer, therefore it is warmer.D. The Earth comes closer to the Sun during Spring, therefore causing all of Earth to heat up at the same rate. What is reflex angle class 9? Who was Korematsu and what did they do? What forces in the external environment have created opportunities or challenges for Michelle Phan? Explain. which of the following is a linear function Which of the following values are in the range of the function graphed below?Check all that apply.10- 1010. 10+D A. 2O B. 5C. 3O D. 1E. -2 WILL MARK BRAINLY IS RIGHT!!!!