A writer earns 8% of total sales dollars as a commission. If 2000 copies of his book are sold at $14.95 each, how much commission does he earn? $119.60 $1.20 $2,392 $160

Answer:

Option B

Step-by-step explanation:

Step-by-step explanation:

We have the function [tex]g(x)=ax^2 +d[/tex]  then, by definition:

If  [tex]0 <a <1[/tex] then the graph is compressed vertically by a factor a.

If  [tex]|a| > 1[/tex] then the graph is stretched vertically by a factor a

If [tex]a <0[/tex]  then the graph is reflected on the x axis.

If [tex]d> 0[/tex] the graph moves vertically upwards d units.

If [tex]d <0[/tex] the graph moves vertically down  d units.

We know that:

[tex]a > 1[/tex] then the graph is stretched vertically by a factor a

and

[tex]d <0[/tex] the graph moves vertically down  d units

The searched graph is stretched vertically and its vertex is displaced downwards

The answer is option B

Answer:

D.A(n) = 250 + (n – 1)(0.03 • 250); $347.50

Step-by-step explanation:

we know that

The simple interest formula is equal to

[tex]A=P(1+rt)[/tex]

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

[tex]t=(14-1)=13\ years\\ P=\$250\\r=0.03[/tex]

substitute in the formula above

[tex]A=\$250(1+0.03*13)[/tex]

[tex]A=\$250(1.39)=\$347.50[/tex]

ANSWER

[tex]x = \: x = \pm \: \sqrt{2} i \: or \: x = \pm \: i[/tex]

EXPLANATION

[tex] {x}^{4} + 3 {x}^{2} + 2 = 0[/tex]

[tex]{ ({x}^{2}) }^{2} + 3( {x}^{2}) + 2 = 0[/tex]

Let

[tex]u = {x}^{2} [/tex]

Then the equation becomes:

[tex] {u}^{2} + 3u + 2 = 0[/tex]

[tex] {u}^{2} + 3u + 2 = 0[/tex]

[tex] {u}^{2} + 2u +u + 2 = 0[/tex]

Factor:

[tex]{u}(u + 2)+ 1(u + 2) = 0[/tex]

[tex](u + 1)(u + 2) = 0[/tex]

[tex]u = - 1[/tex]

or

[tex]u = - 2[/tex]

This implies that

[tex] {x}^{2} = - 1 \implies \: x = \pm \: i[/tex]

or

[tex] {x}^{2} = - 2 \implies \: x = \pm \: \sqrt{2} i[/tex]

Answer:

The possible shapes of the playground should be: parallelogram, rectangle, and kite because all of these shapes have 2 pairs of equal sides, and also the question didn't specify if the sides are opposite to each other or not so kite is also a possible option.

The quadrilaterals that describe the shape of a playground with these dimensions will be Rectangle.

A  rectangle is a quadrilateral with four sides and the two opposite sides are equal and parallel the two sides are also perpendicular to each other.

It is given in the question that a playground has two sides that each measure 70 feet and two sides that each measure 50 feet.

So it is clear that the two sides are equal and parallel to the shape of the playground will be rectangular.

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Answer:

Then, a=-1 and b=-1

Step-by-step explanation:

We need to solve the following system of equations using the adition method:

2a+3b=-1       (i)

3a+5b=-2      (ii)

First, we multiply the equation (i) by -3 and the equation (ii) by 2, so we get:

-6a-9b=3

6a+10b=-4

Adding the two equations we have:

-6a-9b=3

6a+10b=-4

--------------------------

 0  + b = -1

Then b=-1. Now, let's substitute the value of b into equation (i):

2a+3b=-1

2a + 3(-1) = -1

2a -3 = -1

2a = 2

a = 1

Then, a=-1 and b=-1

Answer:

a = 1 and b= -1

Step-by-step explanation:

It is given two equations,

2a + 3b = -1  and

3a + 5b = -2  

To find the solution of given equations

Let, 2a + 3b = -1   ----(1)

3a + 5b = -2   ------(2)

(1) * -3 ⇒

-6a - 9b = 3    ----(3)

(2) * 2 ⇒

6a + 10b = -4   -----(4)

(3) + (4 )⇒

-6a - 9b = 3    ----(3)

6a + 10b = -4   -----(4)

  0 + b  = -1

(1) ⇒ 2a + 3b = -1  

2a + (3 * -1) = -1

2a = -1 + 3 = 2

a = 2/2 =1

Therefore, a = 1 and b = -1

Answer:

[tex]\dfrac{9}{64}[/tex]

Step-by-step explanation:

There are 12 face cards in a deck of standard playing cards and 20 even numbered cards, in total 32 cards.

1. The probabilty that the first drawn card is face card is

[tex]p_1=\dfrac{12}{32}=\dfrac{3}{8}.[/tex]

2. The probabilty that the second drawn card is an even numbered card (even numbered cards are 6, 8, 10 - 12 in total, odd numbered cards are 7, 9 - 8 in total) is

[tex]p_2=\dfrac{12}{32}=\dfrac{3}{8}.[/tex]

3. The probability that the first drawn card is a face card and the second drawn card is an even numbered card is

[tex]p_1\cdot p_2=\dfrac{3}{8}\cdot \dfrac{3}{8}=\dfrac{9}{64}.[/tex]

In the commutative property, order does not matter for addition and multiplication. However, this is not true when it comes to subtraction and division problems, where order does matter.

The commutative property states that:

a + b = b + a (addition)

a × b = b × a (multiplication)

However, this does not apply to:

a - b ≠ b - a (subtraction)

a ÷ b ≠ b ÷ a (division)

In subtraction and division, the order of the operands matters, and changing the order can result in different values.

Answer:

If the question is asking for a solution for both, then only point (0,2)

Point (0,2) is a solution to both equations

Point (5,3) is a solution to neither (meaning not any of the equations)

Point (-2, 16) is not a solution to the first equation, but is to the second

Point (-4, -9) is a solution to the first, but not to the second.

Step-by-step explanation:

Using the Property of substitution. 7x-4y=8

(0,-2)

7(0)-4(-2)=8

7(0)=0

-4(-2)=8

0+8=8

This solution is true.

(5,3)

7(5)-4(3)=8

7(5)=35

-4(3)=-12

35-12=23 (not 8)

This solution is not true.

(-2,16)

7(-2)-4(16)=8

-14-64=-78 (not 8)

This solution is not true.

(-4,-9)

7(-4)-4(-9)=8

-28+36=8

This solution is true

__________________________________________________________

Y=-9x-2

(0,-2)

-2=-9(0)-2

-9(0)=0-2=-2

-2=-2

This solution is true

(5,3)

3=-9(5)-2

-45-2=-47

3=-47

This solution is not true

(-2,16)

16=-9(-2)-2

16=18-2

16=16

This solution is true.

(-4,-9)

-9=-9(-4)-2

-9=36-2

-9=34

This solution is not true.

Final answer:

By substituting the x and y values from each ordered pair into the two given equations, we can determine whether the ordered pairs (0,-2), (5,3), (-2,16), and (-4,-9) are solutions. An ordered pair is a solution if it satisfies both equations of the system.

Explanation:

To determine whether each ordered pair is a solution to the system of equations:

7x - 4y = 8

y = -9x - 2

We will substitute the x and y values from each ordered pair into both equations.

For the ordered pair (0,-2), substitute x = 0 and y = -2:

7(0) - 4(-2) = 8 satisfies the first equation, and -2 = -9(0) - 2 satisfies the second equation, so (0,-2) is a solution.

Repeating this process for the other ordered pairs, (5,3), (-2,16), and (-4,-9), will reveal whether they satisfy both equations.

If both equations are satisfied by a particular ordered pair, then that ordered pair is a solution to the system of equations.

Answer:

Option D. -0.901

Step-by-step explanation:

we know that

The correlation coefficient r measures the strength and direction of a linear relationship between two variables. The value of r is always between +1 and –1

Using a Excel tool (Correl function)

The value of coefficient r is -0.9006876

Round to three decimal places

r=-0.901

see the table attached

Answer:

The length of the hypotenuse is 4.1 in

Step-by-step explanation:

we know that

In the right triangle of the problem

The function sine of angle of 80 degrees is equal to divide the opposite side to the angle of 80 degrees (4 in) by the hypotenuse

Let

x ----> the hypotenuse

so

sin(80°)=4/x

isolate the variable x

x=4/sin(80°)

x=4.1 in

Answer:

B: 4.1 in.

Step-by-Step Explanation:

on edge! hope this helps!!~ （=´∇｀=）

Answer:

4/15

Step-by-step explanation:

There are red, green and blue marbles in the bag.  The total of all the probabilities of selecting red, green and blue marbles is 1.00, or just 1.

So, to find the probability of selecting a blue marble, we add together 1/3 and 2/5 and subtract the total from 1:

1 - (1/3 + 2/5)

or:

1 - (5/15 + 6/15)

or:

1 - 11/15, or 4/15 (answer)

Final answer:

The probability of selecting a blue marble from the bag, given that reds have a probability of 1/3 and greens 2/5, is 4/15.

Explanation:

To find the probability of selecting a blue marble, you need to subtract the probability of selecting either a red or a green marble from 1, since the total probability must equal 1.

You are given that the probability of selecting a red marble is 1/3, and the probability of selecting a green marble is 2/5. To find the probability of selecting a blue marble, you can use the formula:

Probability of blue marble = 1 - (Probability of red marble + Probability of green marble).

Substituting the given probabilities, we get:

Probability of blue marble = 1 - (1/3 + 2/5)

Firstly, find a common denominator for the fractions, which is 15.

Probability of blue marble = 1 - (5/15 + 6/15)

Probability of blue marble = 1 - 11/15

Probability of blue marble = 15/15 - 11/15

Probability of blue marble = 4/15. Hence, the probability of selecting a blue marble is 4/15.

45 feet

9 sides * 5 for each side =45

Answer:

C. 45. feet

Step-by-step explanation:

Step 1.) 9 * 5 = 45

Final Answer:

C.) 45. feet

Extra:

Please give brainlest!

Have a good day,

johannelbekian

ANSWER

C)5103.3735

EXPLANATION

The recursive definition of the given sequence is;

[tex]f(1) = a_1 = 6[/tex]

and

[tex]f(n) = a_n = (1.2) \times f(n - 1)[/tex]

The explicit definition is

[tex]f(n) = a_n =6 (1.2)^{n - 1} [/tex]

We substitute n=38 to obtain:

[tex]f(38) = a_ {38}= 6(1.2)^{37} [/tex]

[tex]f(38) = 5103.3735[/tex]

The correct choice is C.

Answer:

See below.

Step-by-step explanation:

That would be a rectangular pyramid. The net would consist of a rectangle and 4 triangles

The  three-dimensional figure is:

                      Rectangular Pyramid.

Net of a three dimensional figure--

A net of a three dimensional figure is the pattern which is made with the help of all the faces of a solid.

The net is used to identify the three dimensional solid it will form.

Here, the net is 1  rectangle and a number of triangles.

a)

rectangular prism

The net of this solid are made by using six rectangles.

Hence, option (a) is incorrect.

b)

Rectangular Pyramid--

It is a three dimensional figure which is formed by taking a rectangle as a base and  4 triangles as it's other faces.

Hence, the net of this solid is made using 1 rectangle and a number of triangles.

c)

Triangular prism--

It has three faces as parallelogram and 2 as triangles.

Hence, option: c is incorrect.

d)

Triangular Pyramid--

A triangular pyramid also known as a tetrahedron is a three dimensional figure which is composed of four triangles.

Hence, option: d is incorrect.

Answer:

The root of the polynomial is 3

Step-by-step explanation:

To find the root of the polynomial x(x-2)(x+3)=18

We can use a graphing utility and the system of equations.

We can have the equations;

y = x(x-2)(x+3) ......(i)

Therefore, from the initial equation;

y = 18 ..................... (ii)

We can then plot the graph using the equations, and the x-coordinate of the point of intersection will be the root of the equation.

From the graph, the x-coordinate is 3, since the intersection point is (3,18).

Therefore; the root of the equation is 3.

Answer:

what are your choices

Step-by-step explanation:

Answer:

1

-1

3

Step-by-step explanation:

on edg

Answer:

The volume would double.

Here is an example:

The formula for the volume of a cylinder is:

V = (area of the base) x height

Now, let's plug in numbers to see what happens to the volume:

Let's say that cylinder 1 has a base area of 6 and a height of 10. Cylinder 2 would have a base area of 6 and a height of 20.

Let's plug in the values:

V1 = 6x10 = 60

V2 = 6x20 = 120

the volume doubles.

hope this helps :)

Answer:

The volume triples...

Step-by-step explanation:

(I think) you just divide the length of the bead string the the inches of the beads

(Which equals 4.4 so when simplified is 4)

Answer:

-1, 0, 3, 4.

Step-by-step explanation:

f(x) = x^2 - 3x

f(f(x)) = (x^2 - 3x)^2 - 3(x^2 - 3x)    (Replacing the x in f(x) by x^2 - 3x).

when f(f(x) = f(x):

(x^2 - 3x)^2 - 3(x^2 - 3x)  = x^2 - 3x

(x^2 - 3x)^2 - 4(x^2 - 3x) = 0

Let y = x^2 - 3x, then

y^2 - 4y = 0

y(y - 4) = 0

y = 0, 4

when x^2 - 3x = 0, x = 0 , 3.

when x^2 - 3x = 4

x^2 - 3x - 4 = 0

(x + 1)(x - 4) = 0

x = -1, 4.

You can set up a proportion based on the information you know. There are several ways to do this but here's one: [tex]\frac{8}{4} = \frac{s}{16}[/tex] because the 8 corresponds to the 4 and the s correspnds to the 16. Cross multiply to get 8 * 16 = 4s → 128 = 4s → 32 = s so the value of s is 32m

The value of s is 32 m.

Similar trapezoids are trapezoids whose sides are in a ratio. the ratio is known as the scaled factor.

A scale factor is a factor by which the image is been enlarged. for example, the scale factor of 10 means each side will be multiplied by 10, resulting in a figure that is 10 times the real figure.

As given to us, ABCD is similar to trapezoid EFGH. therefore, the sides of the trapezoid are in a ratio.

Thus we can write,

[tex]\bold{\dfrac{EH}{AD}=\dfrac{GH}{CD}}[/tex]

substituting the values we get,

[tex]\bold{\dfrac{s}{16}=\dfrac{8}{4}}[/tex]

[tex]\bold{s=\dfrac{8\times 16}{4}=32}[/tex]

Hence, the value of s is 32 m.

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It’ll be (5,4) because it’s on the same Y line (aka 4) just like (1,2) and (5,2).

The coordinates of the fourth vertex of the rectangle are (5, 4).

A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.

Given that, three vertices of a rectangle are located at (1,4), (1,2), and (5,2).

The intersection point of diagonals of rectangle is midpoint of each diagonal.

Let the fourth coordinate be (x, y). By the above property we get

Now, the midpoint of (1, 4) and (5, 2) is

[(1+5)/2, (4+2)/2] =(3, 3)

Thus, (3, 3) =[(x+1)/2, (y+2)/2]

3=(x+1)/2, 3=(y+2)/2

6=x+1, 6=y+2

x=5, y=4

Therefore, the coordinates of the fourth vertex of the rectangle are (5, 4).

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Answer:

Q1:A. depreciation

Q2: B. 1,799.90

Step-by-step explanation:

In order to solve this, you have to remember that the depreciation is the amount of money that is lost onthe cost or price of certain products with the pass of the time, and after that you just divide the cost by the number of years of useful life that it will have for the company, in this example it is $8,999 between 5 years and that is $1799 per year of useful life.

Answer:

depreciation & 1,579.80

Step-by-step explanation:

Answer:

x = -17/2 or -8.5

Step-by-step explanation:

-4x+8 = 42

Subtract 8 from each side

-4x+8-8 = 42-8

-4x = 34

Divide each side by -4

-4x/-4 = 34/-3

x = -17/2

x = -8.5

Answer:

Im not 100% sure but i can tell you it is (D)

Step-by-step explanation:

Answer:

  8.284 × 10^4 m^2

Step-by-step explanation:

The area is the product of length and width:

  (5.45·10^5 m)·(0.152 m) = 0.8284·10^5 m^2 = 8.284·10^4 m^2

-Hello There-

A square is always a rhombus because it satisfies all the properties of rhombus but every rhombus cannot a square.

Therefore, If KLMN is a square, then it must be a rhombus.

Have A Fantastic Day

Be Safe,

TheBlueFox

Answer:

It must be a rhombus

Step-by-step explanation:

Answer:

6X^2 -X -12

Step-by-step explanation:

(2X-3)(3X+4)

FOIL

first 2X*3X = 6X^2

outer 2X *4 = 8X

inner -3 *3X = -9x

last = -3 *4 =-12

Add them together = 6X^2 +8X -9X -12

                                 = 6X^2 -X -12

Answer:

6x^2 - x - 12

Step-by-step explanation:

2x(3x + 4) = 6x^2 + 8x

-3(3x + 4) = -9x - 12

6x^2 + 8x - 9x - 12

6x^2 - x - 12

Answer:

The volume of the prism is [tex]16.65\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the triangular prism is equal to

[tex]V=BH[/tex]

where

B is the area of the triangular base

H is the height of the prism

Remember that

In a right triangle 45°-45°-90°

The measures of the legs are equal

The area B is equal to

[tex]B=\frac{1}{2}(3)(3)=4.5\ in^{2}[/tex]

[tex]H=3.7\ in[/tex]

substitute in the formula

[tex]V=(4.5)(3.7)=16.65\ in^{3}[/tex]

Answer:

16.65

Step-by-step explanation:

Answer: Area of shape which is 15 cm is 312.5 square cm.

Step-by-step explanation:

Since we have given that

Area of shape of 12 cm = 200 sq. cm

We need to find the area of shape of 15 cm.

As we know the "Area similarity theorem" which states that ratio of areas of two similar shapes is equal to the square of ratio of corresponding sides.

So, it becomes,

[tex]\dfrac{12^2}{15^2}=\dfrac{200}{x}\\\\\dfrac{144}{225}=\dfrac{200}{x}\\\\144x=200\times 225\\\\144x=45000\\\\x=\dfrac{45000}{144}\\\\x=312.5\ cm^2[/tex]

So, Area of shape which is 15 cm is 312.5 square cm.

The area of shape B which is of 15 [tex]\text{cm}[/tex], is 312.5 [tex]\text{cm}^2[/tex].

Given information:

The two shapes A and B are given

The dimensions of shape A is 12 [tex]\text{cm}[/tex]

The area of the shape A is 200 [tex]\text{cm}^2[/tex]

Now, we need to calculate the area of the shape of 15 [tex]\text{cm}[/tex]

As we know that area will be square of the given values in the question.

So, according to the question:

[tex]\frac{A^2}{B^2} =\frac{200}{x}[/tex]

[tex]\frac{12^2}{15^2} =\frac{200}{x}\\\\\frac{144}{225}=\frac{200}{x} \\\\x=(200\times 225)/144\\\\x=312.5 \text{cm}^2[/tex]

Hence, the area of shape B which is of 15 cm, is 312.5 [tex]\text{cm}^2[/tex].

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The original price of the shirt must be $15 if a 20% discount resulted in the final price becoming $12

The original price of the shirt is $15.

Discount refers to the condition of the price of a bond that is lower than the face value. The discount equals the difference between the price paid for and it’s par value.

Discount is a kind of reduction or deduction in the cost price of a product. It is mostly used in consumer transactions, where people are provided with discounts on various products. The discount rate is given in percentage.

Discount = Original price - Buying Price

Given,

Buying price of the shirt john bought = $12

Discount on shirt John bought = 20% of the original price

Let, the original price be x

then,

discount = 20% of x = 20x/100

Discount = Original price - Buying Price

20x/100 = x - $12

x = $12 + 20x/100

x = ($1200 + 20x)/100

100x = $1200 + 20x

80x =$1200

x = $1200/80

x = $15

Hence, the shirt cost $15 originally.

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