A county planner is looking at trends in population growth for two towns, Hapville and Merton. The population of Hapville in the year 2000 was 18,000. Since then, the population has increased at a steady rate of 500 per year. The population of Merton is increasing according to the equation y=12,000(1.04)t , where y = the population in thousands and t = the number of years since the year 2000. If these trends continue, how will the populations of the two towns compare in 2030?

Answers

Answer 1

Answer:

Merton will have about 6,000 more people than Hapville

Step-by-step explanation:

Merton

y = 12,000(1.04)^(30)

y = 12,000(3.24339)

y = 38,920.77012

Hapeville

y = 18,000 + (30 x 500)

y= 18,000 + 15,000

y = 33, 000

Merton - Hapeville

38,920.77012 - 33,000 = 5920.77012

Therefore Merton will have about 6,000 more people than Hapville


Related Questions

what is the value ofny when -5 y-7/9

Answers

Is there answers to this question?

Evaluate the function w=-5x-1 when x=-3,0, and 8.

Answers

When x = -3;

w = -5(-3) - 1

w = 15 - 1

w = 14

When x = 0;

w = -5(0) - 1

w = 0 - 1

w = -1

When x = 8;

w = -5(8) - 1

w = -40 - 1

w = -41

Best of Luck!

In Triangle ABC. AB = 5, BC=8. and AC = 7. Name the largest angle of triangle ABC

Answers

i think its A

Step-by-step explanation:

PLEASE HELP!

James ran 28 miles in `2\frac{1}{3}`hours. What was his rate in miles per hour?



Write the expression, then solve. Must show all work.

Answers

Answer:

15 mph

Step-by-step explanation:

28mi=2  1/3

2   1/3 = 2 hrs 20min

110min

28/110=.254 mi per min

.25*60=15 mi per hrs

find the area of shaded region in given figure 14 cm and 7 cm

Answers

Given:

The radii of circles are 14 cm and 7 cm.

To find:

The area of the shaded region.

Solution:

Area of a circle is

[tex]Area=\pi r^2[/tex]

From the given figure, it is clear that

Area of shaded region = Area of larger circle - Area of smaller circle

                                      = [tex]\pi (14)^2-\pi (7)^2[/tex]

                                      = [tex]\dfrac{22}{7}\times 14\times 14-\dfrac{22}{7}\times 7\times 7[/tex]

                                      = [tex]616-154[/tex]

                                      = [tex]462[/tex]

Therefore, the area of the shaded region is 462 sq. cm.

Radius
Diameter: 26 inches
Circunference :
Area:

Answers

Answer:

Radius is 13

Circumference  = 26π

Area is 169π

Step-by-step explanation:

use the radius, circumference, and area formulas.

Radius is 13

Circumference  = 26π

Area is 169π

substitute pi for 3.14, 3, etc if needed

George has a sum of money.
He divides the money between Siobhan and Iwan.
Iwan receives 11 of the money.
Write the ratio of the money that Siobhan receives to the money that Iwan receives.
Input note: give your ratio in its simplest form where each part is a whole number.

Answers

11:100
iwan:siobhan
if iwan gets 11% then iwan gets 89/100

Rita has 10 centimeters of
ribbon. She cuts the
ribbon into 8 equal pieces.
What is the length, in
centimeters, of each
piece of ribbon?

Answers

Answer: 1.25

Step-by-step explanation:

because it is

If a person walks 1/2 miles in 3/4 of an hour. What Is the unit rate?

Answers

0.666667 miles per hour i’m pretty sure

Which quadratic equation?

Answers

Answer:

step 1. plug in (-3, 0).

step 2. y = x^2 + x - 6 works and the others dont.

step 3. plug in (-2, -4), (-1, -6), (0, -6), (1, -4), (2, 0)

step 4. All points work in the equation x^2 + x - 6.


700, 1200, 1600, 2000, X
If the mean of the five numbers above is 1600, what
is the value of x ?

Answers

Answer:

2500

Step-by-step explanation:

The mean of 700, 1200, 1600, 2000, 2500 is 1600.

Lines Line A E and Line G H are parallel in the image below. The image will be used to prove that the sum of the measures of the interior angles of Triangle C G H is 180°.

Lines A E and G H are parallel. Angles F and C are congruent.

Which statement would be included in the proof of why Measure of angle C + measure of angle G + measure of angle H = 180 degrees.?
Angles F and H are congruent.
Angles C and E are congruent.
Angles A and G are congruent.
Angles F and C are congruent.

Answers

Answer:

he corect f and c

Step-by-step explanation:

The answer would be F and C

Explanation: I got it right on the test I took.

How many times larger
is 8 x 10^4 than 8 x 10^1

Answers

Answer:

8x10^4=80,000

8x10^1=80

79,920 times larger!

Step-by-step explanation:

Hope that helps! :)

The values 8 * 10^4 is 1000 times larger than 8 * 10^1

Scientific notations are expressions written in the form A * 10^n

Given the following scientifc notations:

A = 8 x 10^4

B = 8 x 10^1

In order to know how many times larger  is 8 x 10^4 than 8 x 10^1, we will take the ratio of both values as shown;

Ratio =

[tex]\frac{A}{B} = \frac{8 \times 10^4}{8 \times 10^1}\\ \frac{A}{B} = 1 \times 10^{4-1} \\ \frac{A}{B} = 10^3\\ \frac{A}{B} = 1000[/tex]

This shows that the values 8 * 10^4 are 1000 times larger than 8 * 10^1

Learn more here: https://brainly.com/question/10401258

What is the y-intercept in the equation y=4x-3?

Answers

Answer:

I haven't did this in a long time, but I think it's -3

Step-by-step explanation:

Find exact value. tan (sin-1 5/8)

Answers

Answer:

The chicken closed the road.

And then he crawled up the spot

and come over the duck

Write as a product (5c-3d)^2-9d^2

Answers

Answer:

25c^2-30cd

Step-by-step explanation:

The product of expression is,

⇒ 5c (5c - 6d)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ (5c - 3d)² - 9d²

Now, We can write the expression in form of product as;

⇒ (5c - 3d)² - 9d²

⇒ (5c - 3d)² - (3d)²

⇒ (5c - 3d - 3d) (5c - 3d + 3d)

⇒ (5c - 6d) (5c)

⇒ 5c (5c - 6d)

Thus, The product of expression is,

⇒ 5c (5c - 6d)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2


PLZ HELP ME PLZ I NEED IT

Answers

Answer:

1, 3, 2, 4, 5

Step-by-step explanation:

Karen bought 8 pounds of fruit to make 3 equal-sized fruit salads. What is the weight of each fruit salad?
Fractions.

Answers

Answer:

Improper fraction: 8/3 Mixed Number: 2 2/3

Step-by-step explanation:

In this problem ,  you have to divide the 8 pounds of fruit into three different salads.

So, you need to divide 8 by 3. So, the answer will be 8/3 OR 2 2/3

A graduated cylinder that is 24 cm tall can hold 1 L of water.

a. What is the radius of the cylinder? (round to the nearest hundredth)
b. What is the height of the 500 ml mark?
c. The 250 ml mark?

Recall that 1 liter (L) is equal to 1000 milliliters (ml).
Due soon, please I don't understand.

Answers

Answer:

LOL i belive its 200 because i did this exact same thing yesterday for homework and got it right, if its not then i dont know what to say.

Step-by-step explanation:

PLEASE HELP ME!!! I HAVE 15 MINS

Answers

the right answer for that question is c

is (6, 0) a coordinate, a slope, or neither

Answers

Answer:

Coordinate

Step-by-step explanation:

It is a coordinate because with slope you would need at least two ordered pairs

Answer:

A coordinate.

Step-by-step explanation:

A coordinate takes the form of ( x , y ), in which x is the horizontal, while y is the vertical.

In this case, (6 ,0) is the given coordinate, in which it displaces +6 to the right of the (0 , 0).

~

A slope will typically look like either a whole number, or the more usual fraction.

~

How can you write and
solve equations involving rational numbers?

Answers

Convert the rational number to decimals, then solve it as a decimal instead, (with the optional choice of re-converting it back to rational).

Can I get some help with this question

Answers

Question :

If a⁵ = 3⁵, simplify (2a)⁷ ?

3⁷3⁸6⁶6⁷

Answer :

D option 6⁷ is the right answer.

Explanation :

Given :

a⁵ = 3⁵

To Find :

(2a)⁷

Solution :

As, we have a⁵ = 3⁵

We know that if powers are equal then the base are also equal. In a⁵ = 3⁵, powers are equal on both sides so base will also be equal.

∴ a = 3

Now, we have to find (2a)⁷, so by substituting a = 3, we have :

⟹ (2a)⁷ = (2 × 3)⁷

⟹ (2a)⁷ = (6)⁷

⟹ (2a)⁷ = 6⁷

Therefore, correct answer is 6⁷.

Hence, correct option is D.

ERRE
What is the difference?
4y+6
y-5
2y+ 1
y-5
6y+7
y-5
2y+5
y-5
6y+ 7
-2y-10
2y+5
-2y-10

Answers

y-5

2y+ 1

y-5

6y+7

y-5

2y+5

y-5

6y+ 7

-2y-10

2y+5

-2y-10

Which of the following is the slope of a line that passes through the points (-5, 10) and (15, 2)

Answers

Answer:

(4) -2/5

Step-by-step explanation:

Rise/run

Hari can do a piece of work in 8 days. In how many days would he do one-fourth of the same work ? Can anyone show the process as well ? Will matk brainlieast​

Answers

Answer:

2 days

Step-by-step explanation:

I figured out what 1/4 of 8 was by taking 2 and multiplying it by 4. You can also get this same answer by dividing 8 by 4.

Find the area of equilateral triangle with side a. Please answer with completely simplified exact values. Answer: A = sq. Units

Answers

Solution :

It is given that the length of a side of a triangle is given by 'a'.

It is an equilateral triangle.

So the three sides will be of equal length and is a, a, a units.

Now the semi perimeter of the equilateral triangle is given by :

[tex]$S=\frac{a+a+a}{2}$[/tex]

  [tex]$=\frac{3}{2}a$[/tex]

Therefore, using the Heron's formula, we can find the area of the equilateral triangle.

Area of the equilateral triangle is given by :

[tex]$A =\sqrt{S(S-a)(S-a)(S-a)}$[/tex]

[tex]$A =\sqrt{\frac{3a}{2}\left(\frac{3a}{2}-a\right)\left(\frac{3a}{2}-a\right)\left(\frac{3a}{2}-a\right)}$[/tex]

[tex]$A=\frac{\sqrt3}{4}a^2$[/tex] square units.

Calculate the equation of the line through the points (-1, 1), (4.0), and (24,-4).
A y = 5x + 6
B y= 1/5x + 4/5
C y= -5x + 4
D y= -1/5x +4/5

Answers

Good luck to you! Ask if you have any questions.

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (24, - 4) ← 2 points on the line

m = [tex]\frac{-4-1}{24+1}[/tex] = [tex]\frac{-5}{25}[/tex] = - [tex]\frac{1}{5}[/tex] , then

y = - [tex]\frac{1}{5}[/tex] x + c ← is the partial equation

To find c substitute any of the 3 points into the partial equation

Using (4, 0 ) , then

0 = - [tex]\frac{4}{5}[/tex] + c ⇒ c = 0 + [tex]\frac{4}{5}[/tex] = [tex]\frac{4}{5}[/tex]

y = - [tex]\frac{1}{5}[/tex] x + [tex]\frac{4}{5}[/tex] → D

PLEASE HELP THANKS YOU

Answers

u must find the median, the range, and the mode. And that is your answer
Median- 6
Mean- 5.4
Mode- 7

please, PLEASE answer this fast! I have 1 hour left before I pass it. Please help :( answer it properly! Thank you in advance.

-This is grade 8 math-


1.What elements belong to Set A and Set B?

2. Is there a repetition of the first elements in the ordered pairs? How about in second elements of the ordered pairs?

3. Does the set of ordered pairs represent a relation?

4. How is a relation represented?

Answers

Answer:

The range is is set of all second pairs (y-coordinates) while the domain is the set of first pairs(x-coordinates)

Step-by-step explanation:

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