A town has a population of 45000. This population increases exponentially at a rate of 1.6% per year. Find the population of the town at the end of 5 years. Give your answer correct to the nearest hundred. ( give me the workings please )

Answer:

The diameter would be 10 cm.

Step-by-step explanation:

The diameter is the radius (5cm) times 2 (10cm) :)

Answer:

radius is 5 from centre.diameter is 5×2=10

Answer:

9y^2 - 25

Step-by-step explanation:

This is the product of the sum and difference of two squares:

(a - b)(a + b) = a^2 - b^2 (a formula well worth memorizing)

Therefore, (3y - 5)(3y + 5) = 9y^2 - 25, which is in standard form.

Answer:

y=1/3x+2

Step-by-step explanation:

Answer:

2.93 but rounding because he must purchase whole tubes: 3.

Step-by-step explanation:

So, to figure this out, we must recall the formula for sufrace area of a rectangle:

2*L*H+2*L*W+2*W*H

This is a bit long, so lets break it up into 3 seperate segments, and plug in values:

2*L*H

Plug in the values:

2*20*10

=

400

2*L*W

Plug in the values:

2*20*8

=

320

2*W*H

Plug in the values:

2*8*10

=

160

Now that we have solved for each segment, lets add them together to get our total surface area:

400+320+160

=

880

So this is the surface area.

Now, we know that a tube of paint covers 300 of the 880 surface area.

To find the exact amount, lets divide the 880 by the 300:

[tex]\frac{880}{300}[/tex]

Simply:

[tex]\frac{44}{15}[/tex]

This is sligthly less than 3, and doing it out, you actually get 2.93 with the 3 repeating.

Now we need to think about something. Lets say you are going to the grocery store, and you need 1.895893 lettuce. Do you think you will find 1.89 lettuce? No, you could get 1 or 2, but not 1.89 lettuce, that just doesnt make sense.

It is the same thing here, we have to round up. Note that when doing problems such as these, you will never round down. If you need 1.253 tubes of paint, you arent going to get 1. You are going to need 2.  So note that you will always round up when you solving a problem like this.

So your answer is 3.

Hope this helps!

Answer:

343 in

Step-by-step explanation:

Volume = Length × width × height

Volume = 7 × 7 × 7

Volume = 343

Answer:

2448

Step-by-step explanation:

Answer:

bisector

Step-by-step explanation:

A bisector divides a segment or angle in half.

Answer:

bisector

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

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

Explanation:

Let's solve 6x = 3y + 5 for y

6x = 3y + 5

6x-5 = 3y

3y = 6x-5

y = (6x-5)/3

y = (6x)/3 - (5/3)

y = 2x - (5/3)

This final equation is in the form y = mx+b with m = 2 as the slope and b = -5/3 as the y intercept.

With the equation y = 2x, aka y = 2x+0, the m and b values are m = 2 and b = 0 respectively.

We see that both equations have the same slope (m = 2), but different y intercepts. Therefore, the two lines are parallel. If both y intercepts were the same as well, then we'd be talking about the same identical line.

If the slopes multiplied to -1, then the lines are perpendicular. In any other case, the two lines are neither parallel nor perpendicular.

Answer:

16.5 feet is the height of the house.

Answer:

a = -1/15

Step-by-step explanation:

1 / 3a = -5

3a = 1 / -5

3a = -1/5

a = (-1/5) / 3

a = -1/15

Hope that helps! :)

-Aphrodite

Answer:

f(x) = x(x-1)

Step-by-step explanation:

The easy way to do this is to look at it graphically. an inverse function is reflected across the line y=x. f(x)=x(x-1) is an upward opening parabola when reflected, there are two y-values for all positive values of x. A function can only have one y for every x.

Answer:

2nd to the left

Step-by-step explanation:

Answer:

6.9 in²

Step-by-step explanation:

(4×8)-(2×3.14×2²)

= 32 - 25.12

= 6.9

Answer:

The answer is below

Step-by-step explanation:

The size of each box in the grid is 1 unit by 1 unit.

From the image, we can see that the size of the base of the square pyramid is 4 units by 4 units, hence:

Area of the base = 4 units * 4 units = 16 unit²

Also, as shown in the image, all the triangular face of the square pyramid are of the same size. the distance from the middle of the triangle base to the top of the vertex of the triangle is considered to be the height of the triangle. Hence, the height of each triangular face = 2 units

Answer:

91,858

Step-by-step explanation:

This is the right answer

Answer: the answer is B hope it helps

Step-by-step explanation:

16,468 plus 75,390 = 91858

Answer:

[tex] \huge{x = \frac{7}{2} }[/tex]

Step-by-step explanation:

5(x - 9) + 3(x + 4) = 2(x - 6)

First expand the terms in the bracket

That's

5x - 45 + 3x + 12 = 2x - 12

Simplify

8x - 33 = 2x - 12

8x - 2x = 33 - 12

6x = 21

Divide both sides by 6

[tex] \frac{6x}{6} = \frac{21}{6} \\ x = \frac{21}{6} [/tex]

Simplify

We have the final answer as

[tex]x = \frac{7}{2} \\ [/tex]

Hope this helps you

Answer:

x=3.5

Step-by-step explanation:

5(x-9)+3(x+4)=2(x-6)

5x-45+3x+12=2x-12

8x-33=2x-12

8x-2x=-12+33

6x=21

x=21÷6

=3.5

Hope it helps!!!

Answer: 8192

Step-by-step explanation:

If you want to use an equation, the equation to solve this problem is 4 • (2^x-1).

You're looking for the 12th row so replace 12 for x.

4 • (2^11) = 8192

Answer: Hello Luv........

Complete the square to find the vertex:

   (−2,−11)

Step-by-step explanation:

y=x2+4x−7

=x2+4x+4−11

=(x+2)2−11

Mark me brainest please.

Hope this helps!

Anna ♥

9514 1404 393

Answer:

  y = 0

Step-by-step explanation:

Subtracting the right side gives ...

  [tex]\dfrac{y}{P-9}-\dfrac{y}{P+9}=0\\\\y\left(\dfrac{(P+9)-(P-9)}{P^2-81}\right)=0\\\\y\left(\dfrac{18}{P^2-81}\right)=0\\\\\boxed{y=0}[/tex]

The factor multiplying y cannot be zero, so y must be zero.

Answer

5.0/5

18

Hulkk

Ace

973 answers

2.2M people helped

Answer:

The center of the circle;

(2, -1)

The radius of the circle;

r = 4

Step-by-step explanation:

The first step is to complete the square on both x and y;

x^2 + y^2 -4x + 2y - 11 = 0

x^2 -4x +y^2 +2y = 11

We determine c1 to complete the square on x;

c1 = (b/2)^2

c1 = (-4/2)^2 = 4

We then determine c2 to complete the square on y;

c2 = (2/2)^2 = 1

The equation of the circle is then re-written as;

x^2 -4x + 4 +y^2 +2y + 1 = 11 +4 +1

We then factorize the expressions in x and y separately;

(x-2)^2 + (y +1)^2 = 16

The center of the circle is thus;

(2, -1)

The radius is the square root of 16;

r = 4

find the attached.

Answer:

The answer is 7

Step-by-step explanation:

Answer:

Both 4x^2 and 64 are perfect squares

Step-by-step explanation:

If you are looking for the difference of squares, the two terms both have to be squares. We know that 64 is a square because it is 8 x 8. Also, we can say 4x^2 is a square because it can also be written as (2x)^2. We are basically looking for an option that tells us that they are square. This is option 1.

The second option is invalid because being an even number does not mean the number is a square.

The third option does not help the case much either. Just because there is a common perfect square factor, does not mean the numbers themselves are perfects squares.

Answer:4.2%

Step-by-step explanation: it’s what delta math told me the answer was

Answer: It’s 6 meters

Step-by-step explanation:

if we know the area and the length we need to divide the two to get the width.

78 divided by 13. = 6

Answer:

1900

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Freddy has a range of 22-15 while Waldo's range is 21-15. Thus, Freddy has a range of 7, greater than Waldo's 6.

The true statement is B. The median length of the fish caught by Waldo is greater than Freddy's.

The three main methods for identifying the average value of a set of integers are mean, median, and mode.

Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.

The middle value in a list that is arranged from smallest to greatest is called the median.

The value that appears the most frequently on the list is the mode.

The data for Waldo's and Freddy's fish are not skewed to the right.

The median length of Waldo's fish is 18.82 inches and the median for Freddy's fish is 18.76, so the median length of waldo's fish is greater.

No need to check the other statements as only one statement would be true.

learn more about medians here :

https://brainly.com/question/28060453

#SPJ2

Answer:

{x,y} = {-5,-2}

Step-by-step explanation: