You received an $8500 bonus, which was 12% of your salary. What is your annual salary with this bonus?

Answer:

42000(1.0175)^12 = $51720.45

Step-by-step explanation:

Answer:

1) Factored Form: y = (x - 3)(x + 1)

  X intercepts: (-1, 0), (3, 0)

  Axis of Symetry: x = 1

  Vertex: (1, -4)

  Domain: All real numbers -  (-∞, ∞)

  Range: y ≥ 4

2) Facotred Form: y = (x - 8)(x + 1)

   X intercepts: (-1, 0), (8, 0)

   Axis of symetry: x = 3.5

   Vertex: (3.5, -20.25)

   Domain: All real numbers - (-∞, ∞)

   Range: y ≥ -20.25

Step-by-step explanation:

Answer:

Median is the middle of the data set. For example this data set is 4, 6, 7, 9, 10. First you take out 4 and 10. The you take out 6 and 9 to get a median of 7. But if there is an even amount of numbers like in this data set, 1, 2, 4, 5. Then you take out 1 and 5 and then find the middle point in between 2 and 4 which is 3.

Answer:

a = alpha

(sin a)^2

Step-by-step explanation:

(tan a)^2=(sin a)^2/(cos a)^2

(sec a)^2 = 1/(cos a)^2

if we combine we get ((sin a)^2 * (cos a)^2)/(cos a)^2

simplafy

HOPE THIS HELPSSSS<3

Answer:

Step-by-step explanation:

Find the dimensions of the kitchen, convert to feet

The area is

Answer:

5.56 ft² (nearest hundredth)

Step-by-step explanation:

Given:

If the scale is 1 : 20, then to scale up, multiply the width and length by 20:

⇒ width = 4 × 20 = 80 in

⇒ length = 5 × 20 = 100 in

Area = width × length

        = 80 × 100

        = 800 in²

1 ft = 12 in

⇒ 1 ft² = 12² in² = 144 in²

Therefore, to find the area of the room in square feet, divide the area in inches by 144:

⇒ area = 800 ÷ 144

            = 5.56 ft² (nearest hundredth)

Answer:

It might be a two degree angle! :)

Step-by-step explanation:

A) The probability that you make a second free throw given that you made the first free throw

Answer:

C

Step-by-step explanation:

the cos of an angle of 45° is equal to √2/2~=0,7071

Do you want the full explanation?

The table of the average number of tornadoes is an illustration of proportions

The average number of tornadoes in April is 28

From the table, we have:

Average number of tornadoes in May in Texas = 43

From the question, we have:

May = 154% * April

This gives

43 = 154% * April

Express as decimal

43 = 1.54 * April

Divide both sides by 1.54

April = 27.9

Approximate

April = 28

Hence, the average number of tornadoes in April is 28

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Since the surface area of this cylinder is [tex]432\pi \;yd^2[/tex], its diameter is equal to 12 yards.

Mathematically, the surface area (SA) of a cylinder is given by this formula:

[tex]S.A = 2\pi rh + 2\pi r^2[/tex]

Where:

Given the following data:

Substituting the given parameters into the formula, we have;

[tex]432\pi = 2\pi r(5r) + 2\pi r^2\\\\432\pi = 2\pi 5r^2 + 2\pi r^2\\\\216=5r^2+r^2\\\\216=6r^2\\\\r^2=36\\\\r=\sqrt{36}[/tex]

r = 6 yards.

For the diameter:

Diamter = 2 x radius

Diamter = 2 x 6

Diameter = 12 yards.

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Answer:

See picture & explanation below.

Step-by-step explanation:

The scale is 1:2, so everything is doubled in size.

Count the number of squares each segment is in length and multiply it by 2. Then draw all new segments that are twice as long as the original ones to create a house that is twice as large as the original house.

See the picture below.

Answer:

- Both are quadrilaterals.

- Both have two pairs of side of equal length.

I hope my answer helps you.

Answer: 2 pairs of congruent sides

Hope this helps!

have a nice day!

Answer:

cube root of 9. the third option

Step-by-step explanation:

x^3 = 9

we take the cube root of both sides.

so x = cube root of 9

The given expression [tex]\rm 12x^2-13x+3[/tex]equivalent to (3x - 1)(4x - 3) option second is correct.

A quadratic expression is a second-degree algebraic expression represented by the:

[tex]\rm f(x)=ax^2+bx+c[/tex] ........(1)

Where a, b, and c are the constants and  

We have the quadratic expression:

[tex]\rm f(x)=12x^2-13x+3[/tex]

[tex]\rm f(x)=12x^2-9x-4x+3[/tex]  (we can write -13x as a sum of -9x and -4x)

After taking common term, we get:

[tex]\rm f(x)=3x(4x-3)-(4x-3)[/tex]

[tex]\rm f(x)=(4x-3)(3x-1)[/tex]  or

[tex]\rm f(x)=(3x-1)(4x-3)[/tex]

Thus, the given expression [tex]\rm 12x^2-13x+3[/tex]  is equivalent to (3x - 1)(4x - 3).

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Answer:

x = 10^4 =  10000

Step-by-step explanation:

log(x) = 4

x = 10^4

Answer:

20

Step-by-step explanation:

you add 15 and 5

Answer:

Step-by-step explanation:

The line rises to the left so the slope is negative.

The slope m = -24/12 = -2.

Using the point-slope formula and taking the point (12, 0) on the line:

y - y1 = m(x - x1)   where m = -1, x1 = 12 and y = 0:

y - 0 = -2(x - 12)

y = -2x + 24   <------- this is the required equation.

Answer:

Blank 1 : -2

Blank 2 : 24

Step-by-step explanation:

The first blank denotes the rate of change, or the slope of the graph.

Slope = y₂ - y₁ / x₂ - x₁

The second blank denotes the value of variable K when the value of variable J is 0, or rather the y-intercept of the graph.

The y-intercept is clearly (0, 24)

Step-by-step explanation:

Dude THE Values for graph are given or not

Answer:

140

Step-by-step explanation: all you have to do is add all the numbers then multiply those by 4 then you will get 140

Answer:

ASA

Step-by-step explanation:

ASA rule states that: If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

If the distance from the earth to the moon is about 3.84 x 10⁶.One-fourth of this distance will be 960,000

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, the distance from the earth to the moon is about 3.84 x 10⁶.

One-fourth of this distance is found by dividing the total distance by 4.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

Suppose the one-fourth of this distance will be x,

(1/4)× 3.84 x 10⁶ =x

x=(3.84 x 10⁶)/4

x=960,000

Thus, if the distance from the earth to the moon is about 3.84 x 10⁶. One-fourth of this distance will be 960,000

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#SPJ5

Answer:

D = 1120

Step-by-step explanation:

Given:

Substitute the values into the equation:

⇒ D = WT²

[tex]\text{D = WT}^{2} \ \text{can also be written as D = (W)(T)(T)}[/tex]

⇒ D = (W)(T)(T)

⇒ D = (70)(4)(4)

Simplify the RHS:

⇒ D = 280(4)

⇒ D = 1120

Answer:

The correct answer is 1.65

Step-by-step explanation:

~Hope this helps! :)

Answer:

Length: 24 cm

Width: 8 cm

Explanation:

Let Width be "w"

Then Length is "3w"

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

Perimeter of rectangle = 2(length+width)

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

So, width is 8 cm

Length: 3w ⇒ 3(8) ⇒ 24 cm

Answer:

Step-by-step explanation:

Given

Solving

Income tax is the tax that is imposed by the government on the income that is generated by individuals and businesses.

Your information is incomplete. Therefore, an overview of a tax will be given. It should be noted that a tax is a compulsory levy that is paid by individuals and businesses.

Also, income tax is the tax that is imposed by the government on the income that is generated by individuals and businesses. This is important to generate revenue for the government.

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Explanation: Simply divide 3 over 5. We cannot do much with the fraction since 3/5 can't be reduced. So we leave it as is.

3/5 in decimal form is exactly 0.6 and that converts to 60%, meaning each person gets 60% of a full liter.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Actually, it is 8.

3/8: nothing need be done.

3/4: Multiply top and bottom of the fraction by 2.

3*2 / 4*2 = 6/8

So the lowest common multiple is 8.

The factions become 3/8 and 6/8

7+7+5+5=24

So therefore the permeter is 24