Mathematics High School

Suppose a city with a population of 200,000 has been growing at a rate of 3% per year. If this rate continues, find the population of this city in 21 years. Round to the nearest whole number as needed (1 point)​

Answers

Answer 1

Answer:

Growing at a rate of 3% per year : 200,000 x 3% =  6,000 population/ year

The population of this city in 21 years : 200,000 + ( 6,000 x 21 ) = 326,000 p

Step-by-step explanation:

Answer 2

The population of the city after 21 years is given by the exponential equation A = 372,059

What is exponential growth factor?

The exponential growth rate is the value which increases exponentially over a period of time and

x ( t ) = x₀ ( 1 + r )ⁿ

x ( t ) is the growth at time t

x₀ is the initial value growth at time t = 0.

r is the growth rate expressed as percentage when r > 0

And , the decay rate when r < 0 , in percentage

t is the time in discrete intervals and selected time units

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

Let the initial population of the city be x₀ = 200,000

Now , let the number of years be n = 21 years

Let the percentage of increase be r = 3 %

And , exponential growth formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( 21 ) = 200,000 ( 1 + 0.03 )²¹

On simplifying the equation , we get

x ( 21 ) = 200,00 ( 1.03 )²¹

x ( 21 ) = 200,000 ( 1.86029457 )

On further simplification , we get

x ( 21 ) = 3,72,058.914

On rounding the population , we get

x ( 21 ) = 372,059

Therefore , the value of A is 372,059

Hence , the exponential growth of the population after 21 years is 372,059

To learn more about exponential growth factor click :

https://brainly.com/question/13674608

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Related Questions

if in one batch of cookies, you use 6 cups of dough and 2 cups of chocolate chips
how many cups of chocolate chips will you need to make two batches of cookies

Answers

Answer:

4cups of chocolate chips

Hope I helped

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2 cups times two recipes

2x2=4

please help with question 2! BRAINLIEST to correct answer!!!

Answers

Answer:

B: (-infinity, 4]

Larry bought 4 pounds of jelly beans for $6. What is the unit rate?

Answers

Answer:

Unit rate is 1.5

Step-by-step explanation:

4 pounds  = $6

Divide 6 by 4 = 1.5

Check: 4 * 1.5 = 6

Hence,

1 pound = $1.5

Hope this helps :)

Right answer gets brainlist

Answers

Answer:

Step-by-step explanation:

18(3)(22)=1188

Give 5 Examples of Linear Equation in Two Variables​

Answers

Dang bro I got no clue

Answer:

Some examples of linear equations in two variables are: 1.2s + 3t = 5, p + 4q = 7, πu + 5v = 9 and 3 = 2 x – 7y. Note that you can put these equations in the form 1.2s + 3t – 5 = 0, p + 4q – 7 = 0, πu + 5v – 9 = 0 and 2 x – 7y – 3 = 0, respectively.

Sum of two numbers = 15 (Addition)

Difference of two numbers =3 (Subtraction)

Find the two numbers.

What is the product of those two numbers? (Multiplication)

Answers

Answer:

The numbers are  x= 9 and y =6

The product of two numbers

x y  = 9 × 6 = 54

Step-by-step explanation:

Step(i):-

Let x and y are two numbers

Given that the sum of two numbers

 x + y = 15 ..(i)

Given that the difference of two numbers

x - y = 3 ..(ii)

adding (i) and (ii) , we get

x + y + x -y = 15 +3

  2 x = 18

    x =9

Step(ii):-

Substitute x = 9 in equation (i) , we get

x + y = 15

9 + y = 15

     y = 15 - 9

    y = 6

Final answer:-

The numbers are  x= 9 and y =6

The product of two numbers

x y  = 9 × 6 = 54

slope of -6,8 and -6,-8​

Answers

Answer:

use math.way.com

Step-by-step explanation:

Given the equation of the line y=2.5x + 1, what is the x-coordinate, when x=10

Answers

i assume you mean y-coordinate because the x-coordinate would be 10 when x=10, so you substitute x=10 and get y=26

A point with a positive x-coordinate and a negative y-coordinate is reflected over the y-axis
Which sentence describes the coordinates of the new point?
The x-coordinato is nogativo, and tho y coordinato is positivo,
The x-coordinate is positivo, and tho y coordinato is positivo,
The x-coordinato is negative, and the y coordinato is negativo.
The x-coordinate is positive, and the y coordinato is nogativo.

Answers

Answer:

" The x-coordinato is negative, and the y coordinato is negativo. "

Step-by-step explanation:

Both are in the bottom left quadrant: -x -y

You started here:

And reflected across the ☝ line aka Y

Which means it would now be on the left

Find the distance from A to C

Answers

Answer: 11 because the distance between A-B is 8 so because it says it on top, then add 3 to it from B to C

Solve and check
y = 3x - 10
y = 2x - 5

Answers

Answer:

This is the subtraction method

Y -3X = -10

(-Y -2x = -5)  -Y + 2X = 5

Y -3X = -10

-Y + 2X = 5

      -X = -5

X = 5  Now fill in the 5 for X and Y =  5

Answer:

x = 5, y = 5

or

(5, 5)

Step-by-step explanation:

they both equal y so they also equal each other.

3x - 10 = 2x - 5

3x - 2x = -5 + 10

x = 5

substitute x for 5

y = 3x - 10

y = 15 - 10

y = 5

edit, whops forgot to check

just plug the variables in with their values and see if it makes sense:

y = 2x - 5

5 = 2*5 - 5

5 = 10 - 5

5 = 5

since 5 does equal 5, the solution is correct.

i need the anwser and the fractions

Answers

Answer:

5.5/3 - 3/1 = 2.5/3

Help me. I'll mark brainiest

Answers

x^2 - 6x + 9 = 25 + 9

Sort 7/10,1/2,3/5,3/4 from least to greatest .

Answers

Answer:

1

Step-by-step explanation:

Answer:

1,2,3,4,5,7,10

Step-by-step explanation:

Question 1. If the perimeter of Rectangle ABCD is 34y+2. What is the width?

Question 2. What is the area of Rectangle ABCD in terms of y?

Question 3. If the perimeter of the rectangle is 70. What is it’s area?

Question 4. What are the length and width of the rectangle?

Answers

Answer:

Question 1. If the perimeter of Rectangle ABCD is 34y+2. What is the width?

Question 2. What is the area of Rectangle ABCD in terms of y?

Question 3. If the perimeter of the rectangle is 70. What is it’s area?

Question 4. What are the length and width of the rectangle?

Which of the following is not a typical cost associated with renting?
a. last month's rent
b. pet deposit
c. property tax
d. security deposit

Answers

Answer:

C

Step-by-step explanation:

Answer:

The correct answer is C.

Step-by-step explanation:

property tax

(SAT Prep) Find the value of x.

Answers

Step-by-step explanation:

Both the angles will sum up to 180° as they are adjoint angles.

3x+2x= 180°

5x=180°

x=180°/5

x=36°

[Extra:- 3x=3×36=108° and 2x=2×36=72° 5x=108°+72°=180°]

Hope this helps you .

Answer:

x= 36 degrees

Step-by-step explanation:

What is an equation for the translation of y = |x| down 8 units?

Answers

your answer would be 4

Find the area of the isosceles triangle.
13 cm is the side length
10 cm is the base length
what is the hight?

Answers

Answer:

23

Step-by-step explanation:

because 10+13 well hope that helps

Three groups of a number plus two.

Answers

3x+2
of means multiply

These all of the answers for question 4-113:

(The answers are in bold, italic, and underlined. (e.g. word))

NEED HELP!!! WILL GIVE BRANLIEST Which of the following options best describes the slope of line a?​

Answers

Answer:

Positive

Step-by-step explanation:

factorie a3b3-9a2b2+20ab

Answers

Answer:

ABCDEFGHIJKLMNOPQRSTUFWTYZ

Step-by-step explanation:

What is the distance between the following points?

A 12
B 13
C 36
D 97​

Answers

Using it's formula, the distance between these two points is given by:

[tex]\sqrt{97}[/tex].

What is the distance between two points?

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

For this problem, the points are:

(2,4) and (6,-5).

Hence the distance is given by:

[tex]D = \sqrt{(6 - 2)^2+(-5 - 4)^2} = \sqrt{97}[/tex]

More can be learned about the distance between two points at https://brainly.com/question/18345417

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How do you do these question and what's the answer?

-1/3 (n + 15) = -2
46 = -6t -8

Urgent. Please answer ASAP. Thanks guys!

Answers

Answer:

n= -9, t= -9

Step-by-step explanation:

1) -1/3(n+15)=-2

-1/3×n+-1/3×15=-2

-1/3×n -5= -2

-1/3 n-5+5= -2+5

-1/3×n=3

3/-1×-1/3×n=3/-1×3

n= -9

2) 46 = -6t -8

−6t−8=46

−6t−8+8=46+8

−6t=54

Divide both sides by -6

t=-9

The line inside this circle is its
A)
center
B)
circumference
09
diameter
D)
radius

Answers

The answer will be (D)
Hope this helps
May i plz have brainliest?

Work out the surface area of this cylinder.
Diameter = 7 cm

Height = 12 cm

Answers

Answer: A≈340.86cm²

Step-by-step explanation:

The distribution of 4 in the following expression (5+s)4

Answers

Answer:

( 5 + s ) 4 = 20 + 4 s

Step-by-step explanation:

Distribution property

Let a, b and c are numbers then distribution property is defined by

a( b + c) = a b + a c

(a+ b) c = a c + b c

Given that

( 5 + s ) 4 = 5× 4 + s× 4

               = 20 + 4 s

Final answer:-

( 5 + s ) 4 = 20 + 4 s

A sweater is on sale for 40% off the original price of $44. What is the sale price of
the sweater?
O A. $26.40
O B. $17.60
O C. $61.60
O D. $8.70

Answers

Answer:

the answer is B.$17.60

Answer: $17.60

Step-by-step explanation:

0.4(40/100)* 44= $17.60

Evaluate when x = -3 and y= -1:

Answers

Answer:

-3 + -1

Step-by-step explanation:

can someone help please!!

Answers

Answer:

x=106

Step-by-step explanation:

106, the sum of all the angles is 360, so add all the others, and figure out how many more you need to make 360.
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