A town has a population of 9000 and grows at 3% every year. What will be the population after 9 years, to the nearest whole number?

Answer:

Y=13

Step-by-step explanation:

X is 45 so

45+5y+5=9y-2 solve and y=13

Answer:

y = 13

Step-by-step explanation:

x  + 135 = 180                   {linear pair}

         x = 180 - 135

          x = 45

 9y - 2 = 5y + 5 + x    {Exterior angle property of triangle}

 9y - 2 = 5y + 5 + 45

9y - 2 = 5y + 50       {Subtract 5y from both sides}

9y -5y  -2 = 50

  4y - 2 = 50              {Add 2 to both sides}

         4y = 50 + 2

         4y = 52             {Divide both sides by 4}

            y = 52/4

      y = 13

To solve, all we need to do is set up a ratio

7. 5 hours = $45

30 hours = ??

[tex]\frac{7.5}{30} = \frac{45}{x}[/tex]

solve with cross multiplication

7.5(x) = 45 x 30

7.5x = 1,350

continue to solve

[tex]\frac{1,350}{7.5} = x[/tex]

x = $180

So, if you work for 30 hours, you should earn $180 !!

Answer:

Average rate of change; 1

Step-by-step explanation:

[tex]g(x) = x^{2} + 10x + 20[/tex]

[tex]-9\leq x\leq 0[/tex]

1. Find the end-points of the given interval

Input (-9) and (0) into the equation.

Input (-9)

[tex](-9)^2 + 10(-9) + 20[/tex]

81 - 90 + 20

11

point is; (-9, 11)

Input (0)

[tex](0)^2 + 10(0) + 20[/tex]

0 + 0 + 20

20

point is; (0, 20)

2. Find the slope

Now find the slope between the two points, the equation for the slope is;

[tex]\frac{y_{2}-y_{1}}{x_2-x_1}[/tex]

Substitute in the points;

[tex]\frac{11-20}{0-(-9)}[/tex]

-[tex]\frac{9}{9}[/tex]

= -1

Answer:

-0.8x+4.8y+16

Step-by-step explanation:

[tex]4(0.5x+2.5y-0.7x-1.3y+4)\\4(-0.2x+1.2y+4)\\4(-0.2x)+4(1.2y)+4(4)\\-0.8x+4.8y+16[/tex]

Answer:

B

Step-by-step explanation:

∠ BSR + ∠ TSB = ∠ TSR , substitute values

2x + 17 + 5x + 15 = 102 , that is

7x + 32 = 102 ( subtract 32 from both sides )

7x = 70 ( divide both sides by 7 )

x = 10 → B

Answer b and e

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

did test

Answer:

54

Step-by-step explanation:

im sorry if its wrong

The reequired measure of the angle m is given as 84°.

Given that,
A diagram of the parallel is shown we have to determine the measure of the angle.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

According to the question,
∠1 = 180 - 42 - [180-126]
∠1 = 180 - 42-54
∠1 = 84°

Thus, the required measure of the angle m is given as 84°.

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Answer:

I think its 28.

Step-by-step explanation: Dont take my word for this tho

the ratio is 1:2 and that would mean that whatever length DA, HE is 2 times.

The length of BC is 14 so 14 x 2 is 28.

The length, in meters, of side FG on the photocopied image is 28 m and this can be determined by using the concept of dilation.

Given :

The following steps can be used in order to determine the length, in meters, of side FG on the photocopied image:

Step 1 - According to the given data, the side length of DA is 2 times the side length of HE.

Step 2 - From the above step, it can be concluded that 2 is the dilation factor.

Step 3 - From the given data, the length of BC is 14m. So, the length of the side FG is given by:

FG = 2 BC

Step 4 - Substitute the value of length of side BC in the above expression.

FG = 2(14)

FG = 28 m

Therefore, the correct option is C).

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Answer:

[tex]\bold{\dfrac{1}{4}}[/tex]

Step-by-step explanation:

Number of red tiles = 1

Number of yellow tiles = 1

Number of blue tiles = 1

Number of green tiles = 1

Total number of tiles = 4

Also, given that there is a standard dice with faces numbered from 1 to 6.

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

First of all, let the event [tex]A[/tex] be event that a red or yellow tile is chosen.

Number of favorable cases = 2

Total number of cases = 4

[tex]P(A) = \dfrac{2}{4} = \dfrac{1}{2}[/tex]

Let the event [tex]B[/tex] be event that a number between 1 and 3.

Number of favorable cases = 3

Total number of cases = 6

[tex]P(B) = \dfrac{3}{6} = \dfrac{1}{2}[/tex]

[tex]P(A\ and\ B) = P(A).P(B)[/tex]

[tex]P(A\ and\ B) = \dfrac{1}{2}.\dfrac{1}{2} = \bold{\dfrac{1}{4}}[/tex]

Answer:

1/4

Step-by-step explanation:

The angle at D which is m∠ADB is calculated to be  180 - ( α + β ) / 2

Given data

< A = α

∠ B = β

Angle bisectors divides the given angle into two and form a triangle which is ∆ADB

The angles that form ∆ADB are as follows

< A =  α / 2

∠ B = β / 2

to find < D we use sum of angles in a triangle which is 180 degrees and solve as follows

< A + < B + < D = 180 degrees

where < D = m∠ADB, substituting the other values gives

α / 2 + β / 2 +  < D  = 180

( α + β ) / 2  +  < D  = 180

< D  = 180 - ( α + β ) / 2

Since < D = m∠ADB .We can therefore say that m∠ADB =  180 - ( α + β ) / 2

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Answer:

x=8

Hope this helps! Brainliest?

Answer:

Equation: $5.5+$12.75

Step-by-step explanation:

Answer:

12 people voted for Matthew and 18 people voted for Diana.

Step-by-step explanation:

1. Multiply 30 by 0.4 to get 12.

2. Subtract 12 from your total of 30. The remaining 18 votes belong to Diana.

Answer:

45.2 × 10⁰ = 45.2 (a⁰ = 1 )

45.2 × 10¹ = 452

45.2 × 10² = 4520

45.2 × 10³ = 45200

Answer:

My siblings ALWAYS have think central, its annoying.

Step-by-step explanation:

1. 45.2

2. 452

3. 4520

4. 45200

Its like moving the place value and adding a 0. I used Desmos Scientific Calculator to check my answers.

Answer:

(0,0)

Step-by-step explanation:

y value divided by x value for slope, then use desmos

Answer:

d.

Step-by-step explanation:

you would put 4 in the x places and 2 in the yplaces and then you would distribute 4^2 +3(2)/4(2)

16+6/2=22/8=2 3/4

Answer:

6 dogs

Step-by-step explanation:

72 divided by 12=6

Please mark brainliset

Answer:

6:1, 6/1, or 6 to 1

Step-by-step explanation:

72/12

72/12=6

12/12=1

6/1

Answer:

1/3(p + 45)

Step-by-step explanation:

1/3(p + 45)

1/3p + 45/3

1/3p + 15

Answer:

A. [tex]\frac{1}{3}(p+45)[/tex]

Step-by-step explanation:

Factor 1/3 out of each term

Answer:

8fx=;x2-7x+12;x-4;6

Step-by-step explanation:

x2"   was replaced by   "x^2".

Answer:

I hope this helps!

Answer:

Looks right to me! Great work!

Step-by-step explanation:

x² – 2x + 7 = 4x – 10

x² –2x – 4x + 7 + 10= 0

x² –6x + 17 = 0

(x, y, z) = (k, 0, 0) + α (0,0,1) - this is the equation is parallel to the z-axis and passes through the midpoint between the two points.

The slant of a line is registered as for the positive x-hub and the equal lines are similarly disposed regarding the positive x-pivot. At the point when planets are a similar distance yet on inverse sides of the divine equator they are alluded to as being contra-equal. The equal lines are similarly disposed with the positive x-pivot and thus the incline of equal lines is equivalent. Equal lines and their inclines are simple. Since incline is a proportion of the point of a line from the level, and since equal lines should have similar point, then equal lines have similar slant and lines with a similar slant are equal. Opposite lines are somewhat more muddled.

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The relationships are not proportional.

One of the lines, as x increases, y increases

Another, when x increases, y decreases.

Answer:

2/4

Step-by-step explanation:

Answer:

A. 25%

Step-by-step explanation:

The probability that the quadrilateral has four equal side lengths, given that the quadrilateral has four right angles is 25%

Quadrilaterals are shapes that have four sides; these four sides may or may not be:

Check below on how to determine the probability

From the question, we have the following parameters:

The probability that the quadrilateral has four equal side lengths, given that the quadrilateral has four right angles is calculated using:

P(E | R) = n(E and R)/n(R)

This gives

P(E | R) = 2/8

Express as percentage

P(E | R) = 25%

Hence, the probability is 25%

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