In 2005, the population of a state was 31,006,000. If the population grows at 1.2% per year, approximately how
many years (from 2005) will it take the population to reach 40,000,000? (Assuming it grows at the same rate)
use the continuous growth function:
A=pen

150 years
249 years
21 years
26 years

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

      Population of the state will reach 40,000,000 in 21 years from year 2005.

      Option (3) will be the correct option.

Exponential growth of the poulation:  Exponential growth for the population growth is given by the expression,

          F = I(1 + r)ⁿ

          Here, F = Final population

                    I = Initial population

                    r = Growth rate

                    n = Number of years for population growth

Given in the question,

Initial population = 31006000Growth rate = 1.2%Final population = 40000000

To find the number of years for population growth, substitute the values,

F = I(1 + r)ⁿ

40000000 = 31006000(1 + 0.012)ⁿ

40000 = 31006(1.012)ⁿ

[tex](1.012)^n=\frac{40000}{31006}[/tex]

[tex]\text{log}(1.012)^n=\text{log}(1.29)[/tex]

nlog(1.012) = log(1.29)

0.00518n = 0.11059

n = [tex]\frac{0.11059}{0.00518}[/tex]

n = 21.34

n ≈ 21 years

     Therefore, population of the state will reach 40,000,000 in 21 years from 2005. Option (3) will be the answer.

Learn more about the exponential degrowth here,

https://brainly.com/question/25704728?referrer=searchResults


Related Questions

Simplify the following radical expression square root of 20

Answers

Answer:

2 radical 5

Step-by-step explanation:

i am smart

Answer:

[tex]\sqrt{20} =2\sqrt{5}[/tex]

Step-by-step explanation:

Given:

[tex]\sqrt{20}[/tex]

Step 1: Factor out the biggest square number:

[tex]\sqrt{4}\sqrt{5}[/tex]

Step 2: Simplify:

[tex]2\sqrt{5}[/tex]

Therefore, [tex]\sqrt{20} =2\sqrt{5}[/tex]

Solve the system of equations
-2x-3y=21
-6x+2y
Part 1: Explain the steps you would take to solve the system by eliminating the x-terms.
Part 2: Explain the steps you would take to solve the system by eliminating the y-terms.
Part 3: Choose either of the methods described in parts 1 or 2 to solve the system of equations. Write you answer as an ordered pair. Show you work.

Answers

Answer:

[tex] \huge\mathcal\colorbox{red}{\color{pink}{ᶛɲƧཡэʀ}}[/tex]

Value of x & y when

equations are

2x-3y=-21-6x+2y= 7

is

x = 1.5

y = 8

You are buying the new iphone 7 that originally costs $299. Verizon is running a sale that all phones are now 30% off. The sales tax is 7% in the state of New Jersey. What is the total you will pay for the ipone

Answers

Answer:

$233.95

Step-by-step explanation:

299 x 0.7 = 209.30

209.30 x 1.07 = 233.95

Jill is swimming laps in a pool. The table shows how the total distance she swims depends on the number of laps she does.
Number of Laps - Total Distance (Meters)
5 250
10 500
15 ?
20 1,000
25 1,250
A. 50
B. 75
C. 550
D. 750

Answers

Answer is 750

Explanation; because 500 + 250 = 750

Answer:

the expression b/c=b/c is an example of a/an

Help help help I need help ASAP

Answers

Answer: 54.4

Step-by-step explanation:

Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let Χ be the random variable representing the time it takes her to complete one review.Assume Χ is normally distributed.Let be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.
A. Find the probability that the mean of a month’s reviews will take Yoonie from 3.5 to 4.25 hrs. Sketch the graph, labeling
and scaling the horizontal axis. Shade the region corresponding to the probability.
b. P(________________) = _______
C. Find the 95th percentile for the mean time to complete one month's reviews. Sketch the graph.
D. The 95th Percentile =____________

Answers

Answer: i think it would be 20

Step-by-step explanation:

if you do the problem it should show you

Two people meet in the purple room on the fourth floor of a building. On departure, one person travels West 20 feet, South 12 feet, and Down 12 feet. The other person travels North 20 feet, East 10 feet, and Up 12 feet. How far apart are the two people? Round to the nearest tenth.

Answers

Answer:

50 feet

Step-by-step explanation:

Set up a 3-dimensional coordinate system (see the attached image).

This setup shows an axis that runs North-South (South is negative, North is positive), an axis that runs East-West (East is positive, West is negative), and an axis that runs Up-Down (Up is positive, Down is negative).

The two points in question are then:

First person's location (12, -20, -12), and the second person's location is (-20, 10, 12).

The distance between two points  [tex]\left( x_1,\,y_1,\,z_1\right)[/tex]  and  [tex]\left( x_2,\,y_2,\,z_2\right)[/tex] is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2[/tex]

[tex]d=\sqrt{(-20-12)^2+(10-(-20))^2+(12-(-12))^2}\\\\d=\sqrt{(-32)^2+30^2+24^2}\\\\d=\sqrt{2500}\\\\d=50[/tex]

Choose all the numbers that make 5 × □ < 5 true.
A- 1 1/4 B-3/8 C-10/11 D-4 4/5 E- 4/3 F- 1/4

Answers

Answer:

B, C, F

Step-by-step explanation:

It's asking 5 x (what?) is less than 5.

It has to be less than one to be a correct answer then.

In ΔEFG, f = 37 inches, g = 92 inches and ∠E=97°. Find the area of ΔEFG, to the nearest square inch.

Answers

Answer:1689

Step-by-step explanation:

Delta Math

help me please i will give 50 pts and a brainiest

Answers

Answer:

14 Feet

Step-by-step explanation:

Answer:

14 is the answer

140/10=14

hope this helps

have a good day  :)

Step-by-step explanation:

Valerie and Bret have a total of 21 dog show ribbons. Bret has twice as many ribbons as Valerie. How many ribbons does each have? Plz help

Answers

Answer11

Step-by-step explanation:

What is the volume of this composite solid?
4 m
2 m
7 m
2 m
2 m
O A. 58 cubic meters
O B. 64 cubic meters
O C. 78 cubic meters
O D. 62 cubic meters

Answers

Answer:

64

Step-by-step explanation:

A P E X

PLEASE HELP BRO IM FAILING MATH

Answers

Answer:

Step-by-step explanation:

we have several angles that have the same vertex and so they are congruent

1) e = 35 degrees because the opp angle has this measure

2) d = 109 degrees for the reason above

3) for find f we have to notice that the sum of the three angles (if you look at the vertical line you can notice that it is a straight line, so describes two angles whose measures are 180 degrees)

f = 180 - (35 + 109)

f = 180 - 144 = 36 degrees

BE QUICK GIVING BRAINIEST
A cylinder with a diameter of 24 inches and a height of 8 inches has the same volume as a cone with a diameter of 12 inches.
What is the height of the cone?
A. 4 Inches
B. 16 inches
C. 48 inches
D. 96 Inches

Answers

It’s 16 inches I my sister did this

Answer:

D. 96 inches.

Step-by-step explanation:

Radius of cylinder = 1/2 * 24 = 12 inches.

Radius of the cone = 1/2 * 12 = 6 inches.

Volume of the cylinder = pi r^2 h and volume of the cone = 1/3 pi r^2 h

So pi 12^2 * 8 = 1/3 pi * 6^2 * h

1152 pi = 12 pi h

h = 1152/12

h = 96 inches.

Please help me thank you !!!

Answers

Answer:

1. 19.8 or 20 dollars

2. 91.6 or 90 dollars

3. 108.9 or 110 dollars

4. 8.98 or 9 dollars

5. 2.91 or 3 dollars

i can't see 6 but just divide the total cost by how many items

Step-by-step explanation:

Three times a number, x, increased by four is equal to five times the number, x. Which equation can be used to solve for
O 3x+ 5x=4
O 3x+4= 5x
О 3x =4+5х
O 3x-4-5x

Answers

3x+4=5x is the answer

-7 2/3 + (-5 1/2) + 8 3/4

in faction

Answers

Answer:

= -4.41666666667

Step-by-step explanation:

Answer:

    [tex]-7\frac{2}{3} + -5\frac{1}{2} +8\frac{3}{4}\\\\\frac{-23}{3} -\frac{11}{2} + \frac{35}{4}\\\\[/tex]

LCM (3, 2 ,4) = 12

   [tex]\frac{(-23*4) -(11*6)+(35*3)}{12} = \frac{-92-66+105}{12} =\frac{-53}{12} = -4\frac{5}{12}[/tex]

reduce to hours and minutes 66000 seconds​

Answers

Answer:

18.333333 hours

Step-by-step explanation:

1099.99998 mintunes

The class president won the election by a vote of 3 to 2 her opponent received 356 votes. How many votes did the winner receive?

Answers

Answer:

534

Step-by-step explanation:

The question is in the picture

Answers

Answer:

Step-by-step explanation:

x>-5

this is another one .........

Answers

Answer:

Follow the step to find the answer.

Step-by-step explanation:

-2(x + 5) = 4

(-2 × x) + (-2 × 5) = 4

-2x + -10 = 4

-2 = 4 + 10

x = 14 / -2

x = -7

Hope this helps, thank you :) !!

Answer:

Her is th answer it’s on the image

Step-by-step explanation:

Which angle is vertical to AFC?

Answers

Pretty sure the answer is DFE

Rationalize the denominator and simplify

Answers

The answer is number A

please help due in an hour​

Answers

Answer:

x=30°

Step-by-step explanation:

3x-10=2x+20

3x-2x=20+10

x = 30°

just x, no y in the photo

X= 30 3x-10=2x + 20.SO X=30

Please help me this is for a test. Thank you so much whoever answers this.

Answers

Answer: Pretty sure the answer is 3.

Step-by-step explanation:

[tex]\frac{2(4+7)-7}{5}[/tex]

[tex]\frac{2(11)-7}{5}[/tex]

[tex]\frac{22-7}{5}[/tex]

[tex]\frac{15}{5}[/tex]

PLEASE HELP 20 POINTS

Answers

Answer:

43 3/4 cups of cheese

8 3/4 cups of olives

26 1/4 cups of sausage

Step-by-step explanation:

Answer:

43 3/4 cup of cheese

26 3/4 cups of olives

8 1/3 cups of sausage

A factory employs 18 women to sew 540 dresses. The women take 6 weeks to do the job. If 12
women had been employed instead, how many weeks would it have taken them to sew the 540
dresses?

Answers

9514 1404 393

Answer:

  9 weeks

Step-by-step explanation:

In problems of this nature, the usual assumption is that the time required is proportional to the work product and inversely proportional to the number of people doing the job. Here, there is no change in the amount of work, but the number of people is reduced by a factor of 12/18 = 2/3.

So, the amount of time required is expected to increase by a factor of 1/(2/3) = 3/2.

  (6 weeks)×(3/2) = 9 weeks

It would have taken 9 weeks to sew the 540 dresses.

7) WILL MAKE BRAINLIEST

write the slope-interception form of the equation of each line.

Answers

the answer should be A, y=2x+1

I NEED HELP AGAIN YALL

Answers

Answer: Y=-5x+3

Step-by-step explanation:

first slope= 0 on the x axis so -2-3=-5

to get 3 you can do 4-1=3 or 7-4 or even 1-(-2)!

Correct answer: [tex]y = 3x -5[/tex]

You don't have to use the whole table in order to find equation. You can use just two points on the table to start.

In order to find the slope, the formula for that is: [tex]\frac{y_{2}-y_{1}}{x_{2} - x_{1}}[/tex]. So, we can start with points (1, -2) and (2, 1). Label (1, -2) as [tex]x_{1}[/tex] and [tex]y_{1}[/tex]; label (2, 1) as [tex]x_{2}[/tex] and [tex]y_{2}[/tex]. Now we can plug the numbers into the formula.

[tex]\frac{1-(-2)}{2 - 1}[/tex] → [tex]\frac{3}{1}[/tex] → [tex]3[/tex] is the slope.

To find the y-intercept, substitute (1, -2) into [tex]y = 3x + b[/tex].

[tex](-2) = 3(1) + b[/tex]

[tex]-2 = 3 + b[/tex]

[tex]-3[/tex]   [tex]-3[/tex]

________

[tex]b = -5[/tex] is the y-intercept.

Thus, the slope-intercept equation is [tex]y = 3x -5[/tex]. Hope this helps :) Let me know if you have any other questions related to this problem!

What is the solution to this equation?

Answers

Answer:

B. ½

Step-by-step explanation:

9^x -1 = 2

9^x = 2+1

9^x = 3

9^x = √9

9^x = 9^½

x=½

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