WILL GIVE BRAINLIEST AND 30 POINTS IF SOMEONE HELPS

WILL GIVE BRAINLIEST AND 30 POINTS IF SOMEONE HELPS

Answers

Answer 1

The value of the variables x and y of the given transversal lines are;

x = 4/3 and y = 5/3

How to solve Algebra Expressions?

We see from the transverse lines that;

The horizontal line shows the line has been divided into two equal parts by the vertical transversal lines. Thus;

5x + 8 = 21x

Subtract 5x from both sides to get;

21x - 5x = 8

6x = 8

x = 8/6

x = 4/3

Similarly, the upper division will be equal and as such;

20y - 2 = 17y + 3

20y - 17y = 3 + 2

3y = 5

y = 5/3

Read more about Algebra Expressions at; https://brainly.com/question/4344214

#SPJ1


Related Questions

Luis works as a salesperson

Answers

Answer: Can you show the whole problem please?

Step-by-step explanation:

Find each measure.
*PLEASE HELP! WILL GIVE BRANLIEST!*

Answers

The value of the missing angle x in the triangle is; x = 29 degrees

How to find the missing angle of the triangle?

In a triangle, we know that the exterior angle is always equal to the sum of the interior opposite angles. This property is referred to as exterior angle property. This means that any two triangles will be similar if their corresponding angles tend to be congruent and the length of their sides will be proportional.

From the exterior angle property , when we apply it to the given triangle, we will have;

x + x = 58

2x = 58

x = 58/2

x = 29°

Read more about missing triangle angles at; https://brainly.com/question/23327304

#SPJ1

How do I do this I need help

Answers

Step-by-step explanation:

-5° < 8°

that is all that is to it. really. you see ? an inequality, meaning that 2 terms or expressions are compared (like on a balance).

they can be totally balanced, that means they are equal, and then we have an equation.

or one can be bigger ("heavier"), and so one side is smaller and the other larger. and that is then not equal. we have an inequality.

Jerrod had scores of 75, 82, 94 and 77 on his first four history tests. What must he score on the next test to have an average of at least 85? (Note: Remember that average is found by dividing the sum of the numbers, by the number of numbers.)

Answers

The score on his next test must be at least 97 to get an average score of at least 85.

What is Average Value?

Average value of a set of numbers is a single number which represents the whole numbers in the set.

Average value of a set of numbers is calculated by dividing the sum of all the numbers by the number of values in the set.

Here is is given that,

Jerrod had scores of 75, 82, 94 and 77 on his first four history tests.

We need to find the score of his next test such that the average of all is at least 85.

Let x be the score of his next test.

(75 + 82 + 94 + 77 + x) / 5 ≥ 85

75 + 82 + 94 + 77 + x ≥ 85 × 5

328 + x ≥ 425

x ≥ 97

Hence Jerrod must have at least a score of 97.

Learn more about Average Values here :

https://brainly.com/question/28123159

#SPJ1

solve this please!!!!

Answers

Answer:

y = [tex]\frac{3}{7}[/tex] x + 3

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 ) = (0, 3) and (x₂, y₂ ) = (7, 6) ← 2 points on the line

m = [tex]\frac{6-3}{7-0}[/tex] = [tex]\frac{3}{7}[/tex]

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = [tex]\frac{3}{7}[/tex] x + 3 ← equation of line

Use the Exterior Angle Theorem to find the measure of each angle.

Answers

The measure of each angle of triangle is,

m ∠C  = 46°

m ∠D  = 104°

m ∠DEF = 30°  

What is exterior angle theorem?

In Euclid's Elements, Proposition 1.16, known as the exterior angle theorem, states that the measure of a triangle's exterior angle is greater than either of its remote interior angles. Due to the fact that its proof is independent of the parallel postulate, this is a fundamental result in absolute geometry.

Let the triangle CDE is given.

m ∠D = (10y + 4)°,  m ∠C = (4y + 6)°,  m ∠DEF = 108°

We have to find the measure of each angle of triangle.

By using the Exterior angle theorem,

        m ∠C + m ∠D = m ∠DEF

(4y + 6)° + (10y + 4)° = 108°

                 14y + 10° = 108°

                         14y = 98°

                            y = 7°

⇒ m ∠C = 4y + 6 = 4(10) + 6 = 40 + 6 = 46°

 m ∠D = 10y + 4 = 10(10) + 4 = 100 + 4 = 104°

Since, the measure of three angle of triangle is 180°.

⇒ m ∠C + m ∠D + m ∠DEF = 180°

         46° + 104° + m ∠DEF = 180°

                  150° + m ∠DEF = 180°

                             m ∠DEF = 30°

Hence, the measure of each angle of triangle is,

m ∠C  = 46°

m ∠D  = 104°

m ∠DEF = 30°  

To know more about Exterior angle theorem, click on the link

https://brainly.com/question/17307144

#SPJ1

Part B: Mr. Jackson randomly selects a student in Math Club. Use the normal
curve from Part A and the empirical rule to find each probability.

Answers

On solving the provided question, we can say that the inequality equation here will be The student is no more than 65 inches tall. P(x<  65) = 23.432

What is inequality?

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

Mr. Jackson randomly selects a student in Math Club. Use the normal curve from Part A and the empirical rule to find each probability.

the inequality equation here will be

The student is no more than 65 inches tall. P(x<  65) = 23.432

To know more about inequality visit:

https://brainly.com/question/29914203

#SPJ1

pls help me 20 points if you answer correctly

Answers

First one is the correct answer.

- Seth bought 4 sandwiches. The bill was at the most $24.
a. Write and solve an inequality to represent the cost of each sandwich.

Answers

Answer: 24 = 4x

Step-by-step explanation:

First define a variable for the unknown quantity : in this situation we’ll let x represent the cost of one sandwich

now we know that 4 Sandwiches multiplied by x will equal 24


so 4x = 24 or 24 = 4x

Two quantities are related, as shown in the table:

x y
2 3
4 4
6 5
8 6
Which equation best represents the relationship? (4 points)

Answers

The equation that best represents the relationship is y = ½x + 2

What is linear equation?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

From the values of x and y, let's check if the graph of y against x is linear

taking points x( 2,4) y(3,4)

slope =( 4-3)/4-2

slope = 1/2

therefore the graph is linear and slope is 1/2

the equation of a straight line = y − y 1 = m ( x − x 1 )

= y-3 = m( x- 2)

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

y = ½x -1+3

y = ½x +2

therefore the equation that best represents the relationship is y = ½x + 2

learn more about linear equation from

https://brainly.com/question/2030026

#SPJ1

#5: A balloon is released from a height of 6 feet. The balloon rises at a constant rate of 3 feet per second. Which equation represents the height of the balloon (y), in feet, x seconds after it is released? A.x = 3y + 6 B. y = 3x + 6 C. x = 6y + 3 D. y = 6x + 3​

Answers

When the balloon is released from a height of 6 feet, the equation x = 3y + 6 reflects the balloon's height (y).

what is equation ?

Take a look at the formula 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the word "equal." The standard form, the point-slope form, and the slope-intercept form are the three primary kinds of linear equations.  Algebra is used in many equations. When it comes to arithmetic, algebra is used when it's difficult to compute an exact amount.

given

When a balloon is released, it rises at a constant rate of 3 feet per second from a height of 6 feet.

When the balloon is released from a height of 6 feet, the equation x = 3y + 6 reflects the balloon's height (y).

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

When the lengths of the All sides are diffrent that type of triangle is called *?

Answers

scalene triangle is a type of triangle in which all the three sides have different lengths.

What is Scalene triangle?

A triangle is scalene if all of its three sides are different (in which case, the three angles are also different). If two of its sides are equal, a triangle is called isosceles.

A scalene triangle is uneven in the sense that all three sides are of different lengths.

Explanation:

A scalene triangle has all side lengths of different measures. No side will be equal in length to any of the other sides in such a triangle. In a scalene triangle, all the interior angles are also different.A scalene triangle is a triangle in which all three sides are in different lengths, and all three angles are of different measures. However, the sum of all the interior angles is always equal to 180 degrees. Thus, it meets the angle sum property of the triangle.The scalene triangle (also known as the interscalene triangle) is located laterally at the root of the neck and is the space through which the roots and trunks of the brachial plexus and the third part of the subclavian artery exit the neck

To learn more about scalene triangle refers to;

https://brainly.com/question/24057388

#SPJ4

Which type of triangle has side measures of 6 cm, 7 cm, and 12 cm and one angle with a measure of 135°? A. acute isosceles B.right scalene C.obtuse equilateral. D.obtuse scalene (please answer this exact)

Answers

Answer: Obtuse scalene

Step-by-step explanation: Hope it helps, please mark brainliest and give thanks.

Answer:

obtuse scale

Step-by-step explanation:

Is r =- 0.85 A strong correlation?

Answers

A correlation value of -0.8 or lower denotes a significant negative link, whereas one of -0.3 or lower denotes a negligibly weak relationship.

How to interpret a correlation coefficient?

The statistical measure of how well changes in the value of one variable predict changes in the value of another is called a correlation coefficient. The value rises or falls in step with positively associated variables.

Why is correlation coefficient significant? What does it mean?

As a whole, correlation coefficients are used to evaluate the direction and strength of the linear correlations between two sets of variables. When both variables have a normal distribution, use Pearson's correlation coefficient; otherwise, use Spearman's correlation coefficient.

Learn more about correlation coefficient

brainly.com/question/15577278

#SPJ4

how to know if a riemann sum is an overestimate or underestimate

Answers

In general, if the rectangles are all the same width and if they are placed to the right of the curve, the Riemann sum will be an overestimate of the true area. On the other hand, if the rectangles are placed to the left of the curve, the Riemann sum will be an underestimate of the true.

Another method to determine if a Riemann sum is an overestimate or underestimate, we can compare it to the exact value of the definite integral. If the Riemann sum is larger than the definite integral, it is an overestimate. If the Riemann sum is smaller than the definite integral, it is an underestimate. Additionally, we can also check the sign of the function being integrated and the width of the rectangles. If the function is positive and the width of the rectangles is decreasing, then the Riemann sum will be "an overestimate". If the function is negative and the width of the rectangles is decreasing, then the Riemann sum will be "an underestimate".

Learn more about Riemann sum here: brainly.com/question/29275224

#SPJ4

What are the slopes of lines parallel and perpendicular to the line 3x+y=9
(Select one answer per blank).

Answers

The slope that is parallel to 3x + y = 9 is -3.

Perpendicular slope is 1/3.

What are the Slopes of Parallel and Perpendicular Lines?

The slope of two lines is considered parallel if the slopes are equal, and the slope of two lines is considered perpendicular if the product of the slopes is -1 or would be negative reciprocals of each other.

Given the equation of a line as 3x + y = 9, rewrite in slope-intercept form to find the slope.

3x + y = 9

y = -3x + 9

The slope is -3. The negative reciprocal of -3 is 1/3, because it has a product of -1.

Therefore, parallel slope to the line is: -3, while perpendicular slope is 1/3.

Learn more about slope of a line on:

https://brainly.com/question/16949303

#SPJ1

What is the answer for this question, can you please solve step by step?

Answers

Answer:

x = -3, y = -5

Step-by-step explanation:

Given equations:

-6x - y = 23 ----------------(1)

y = 4x + 7 -------------------(2)

Put Eq. (2) in (1)

-6x - (4x + 7) = 23

-6x - 4x - 7 = 23

-10x - 7 = 23

Add 7 to both sides

-10x = 23 + 7

-10x = 30

Divide both sides by -10x = -3

Put x = -3 in Eq. (2)

y = 4(-3) + 7

y = -12 + 7

y = -5

[tex]\rule[225]{225}{2}[/tex]

write the point-Slope form of the line passing through the point (6,9) with a slope of 5

I need answers fast please!

Answers

Answer:

y-9=5(x-6)

Step-by-step explanation:

the equation is y-y1=m(x-x1)

Answer:

The point-Slope form of the line is y - 9 = 5(x - 6)

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

Point-slope form:

y - y₁ = m(x - x₁), where m - slope, (x₁, y₁) - a point on the line

Substitute:

m = 5, (x₁, y₁) = (6, 9)

The line is:

y - 9 = 5(x - 6)

6(4y+8)-2 rewrite in the simplest form

Answers

Answer: 24y+46

Step-by-step explanation:

6(4y+8)-2

=24y+48-2

=24y+46

= 2(12y+23)

Answer: 24y+46

Step-by-step explanation:

multiply 6 by 4y = 24y

multiply 6 by 8 = 48

you have left 24y + 48 - 2
subtract 2 from 48 and get 46

\Select all the correct answers. A triangular frame has two side lengths measuring 18 inches and 12 inches. Which values are possible lengths for the third side? 30 in 6 in 28 in 32 in 20 in 24 in

Answers

A triangular frame has two edges lengths measuring 18 inches and 12 inches. The possible value of length for the third side is 32 in.

What is a triangle?Three edges and three vertices make up a triangle, which is a polygon. It is among the fundamental shapes in geometry. The symbol for a triangle having vertices A, B, and C is ABC.In Euclidean geometry, any three points that are not collinear identify a distinct triangle and a distinct plane at the same time (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and that triangle is contained in just one plane.All triangles are enclosed in a single plane if all of geometry is the Euclidean plane, however in higher-dimensional Euclidean spaces, this is no longer the case. Except as specifically stated, this article is about triangles in the Euclidean plane and general Euclidean geometry.

A triangular frame has two side lengths measuring 18 inches and 12 inches. as we know that the sum of any two sides of a triangle is always greater than the third side.

That is, the third side < 18 +12

third side < 30

according to the question, the option that fits perfectly is 32in.

Hence, The possible value of edges for the third side is 32 in.

To learn more about Triangle from the given link

https://brainly.com/question/2773823

#SPJ1

Verify that f^-1(x) is the inverse of f(x) by showing f(f^-1(x)) = x and f^-1(f(x)) = x

f(x) = x-5 / 3 -x
f^-1(x) = 3x+5 / x+1

Answers

f^-1(x) is the inverse of f(x) as the composite functions f(f^-1(x)) and f^-1(f(x)) are both equal to x.

What is composite function

A function is composite when the co- domain of the first mapping is the domain of the second mapping.

We shall evaluate the functions f(f^-1(x)) and f^-1(f(x)) as follows:

f(f^-1(x)) = [(3x+5 / x+1) - 5] ÷ [3 - (3x+5 / x+1)]

changing division to multiplication;

f(f^-1(x)) = [3x + 5 - 5(x + 1)]/(x + 1) × (x + 1)/[3(x + 1) - (3x + 5)]

(x + 1) is common and will cancel out

f(f^-1(x)) = (3x + 5 - 5x - 5)/(3x + 3 - 3x - 5)

f(f^-1(x)) = -2x/-2

f(f^-1(x)) = x

f^-1(f(x)) = [3(x-5 / 3 -x) + 5] ÷ [(x-5 / 3 -x) + 1]

changing division to multiplication;

f^-1(f(x)) = [3(x - 5) + 5(3 - x)]/(3 - x) × (3 - x)/[x - 5 + (3 - x)]

(3 - x) is common and will cancel out

f^-1(f(x)) = (3x - 15 + 15 - 5x)/(x - 5 + 3 - x)

f^-1(f(x)) = -2x/-2

f^-1(f(x)) = x

Therefore, since composite functions; f(f^-1(x)) = x and f^-1(f(x)) = x, then f^-1(x) is the inverse of f(x).

Know more about composite function here:https://brainly.com/question/10687170

#SPJ1

Jayla is creating a food budget. Each day, her goal is to spend no more than $2 for breakfast, $8 for lunch, and $8 for dinner. Since there are about 30 days in a month, she estimates she will spend roughly $60 a month on food. Is that a good estimate?

Answers

Jayla's estimate for food is not a good estimate, given the number of days in a month and the amount she plans on spending.

How to estimate the food budget ?

Jayla has a food budget and does not want to spend more than $2 for breakfast, $8 for lunch, and $8 for dinner. The most spending per day therefore, is:

= 2 + 8 + 8

= $ 18

Given that there are 30 days in a month, the most spending estimate for the month is :

= Cost per day x Number of days

= 18 x 30

= $ 540

Jayla's estimate of $ 60 a month is therefore not good.

Find out more on estimated food budget at https://brainly.com/question/11336474

#SPJ1

Prove that is a right triangle. Select the correct answer from each drop-down menu.

is congruent to because segment was constructed so that . is congruent to because segment was constructed so that . Since is a right triangle, by the
. We are given that . Since and , by the
. Also, by the
. Taking the square root of both sides of the equation gives . So, is congruent to by the definition of congruence. Applying the
, . By CPCTC, . Therefore is a right angle and is a right triangle.

Answers

ABC is a right-angled triangle.

What is a Right Angled Triangle ?

A triangle in which one angle is 90 degree is called a Right Angled Triangle.

AB is congruent to DB because segment DE was constructed so that

DE = AB, BC is congruent to EF, because segment EF was constructed so that EF = BC,

Since Triangle DEF is a right-angled triangle.

Using Pythagoras Theorem,

DE² +EF²  = DF²  

We are given that AB²+BC² = AC²

Since, DE = AB and EF = BC, DE²  +EF²  = AC²

Also, DF² = AC² by the above equation.

DF = AC

So AC is congruent to DF by the definition of congruence.

Δ ABC ≅ Δ DEF by SSS rule

Therefore, ABC is a right-angled triangle.

To know more about Right Angled Triangle

brainly.com/question/3770177

#SPJ1

What do you do when exponents are different bases?

Answers

Answer:

When the bases and exponents are both different, each needs to be evaluated separately:

   5^2 + 3^3 = 25 + 27 = 52

Step-by-step explanation:

1.  When the bases are the same, it is easy.  Just add the exponents:

   (5^2) * (5^4) = 5^6

2.  When the bases are different, but the exponents are the same, multiply the bases first and then use the same exponent:

    (5^3) * (4^3) = (20)^3

3.  When the bases and exponents are both different, each needs to be evaluated separately:

   5^2 + 3^3 = 25 + 27 = 52

Write (2x)^3 without exponents

Answers

8x

Step-by-step explanation:

2x x 2x x 2x

A cylinder-shaped candle has a diameter of 5 inches and a height of 8 inches. what is the volume of the cylinder? use 3.14 for pi. round to the nearest tenth, if necessary. responses 62.8 in³ 62.8 in³ 125.6 in³ 125.6 in³ 157 in³ 157 in³ 628 in³

Answers

The volume of the cylinder-shaped candle is 157 in³ which diameter and height are 5 inches and 8 inches.

What is cylinder ?

A cylinder is a three-dimensional geometric shape that has two parallel bases that are circular in shape and a curved lateral surface connecting the bases. The bases are located at the top and bottom of the cylinder. The distance between the bases is the height of the cylinder and the distance across the base is the diameter of the cylinder.

The volume of a cylinder is given by the formula V = [tex]\pi r^{2}h[/tex], where r is the radius and h is the height ,

To find the volume of the cylinder-shaped candle, we first need to find the radius. The diameter is given as 5 inches, so we can divide that by 2 to find the radius,

r = 5 inches / 2 = 2.5 inches

Now we can plug this value of r and the given height of 8 inches into the formula:

V = [tex]\pi r^{2}h[/tex] = π(2.5 inches)^2(8 inches) = 3.14 * 6.25 * 8 = 157 in³.

Hence , The volume of the cylinder-shaped candle is 157 in³ which diameter and height are 5 inches and 8 inches.

To learn more about cylinder visit : brainly.com/question/16134180

#SPJ4

Wendy is arranging books on the bookshelves in the school library. The total number of books she arranges is given by the equation b = 12r, where b is the total number of books and r is the number of rows. Each row contains the same number of books.
If Wendy arranged 16 rows, she arranged a total of

Answers

Answer

192

Step-by-step explanation:

Given :Wendy is arranging books on the bookshelves in the school library. The total number of books she arranges is given by the equation b = 12r, where b is the total number of books and r is the number of rows. Each row contains the same number of books.

To Find: If Wendy arranged 16 rows, she arranged a total of ___ books.

Solution:

Since we are given an expression:

b = 12r

where b = total no. of books she arranged

r denotes the number of rows

Since we are asked  If Wendy arranged 16 rows, she arranged how many books

So, put r = 16 in equation

Thus b = 12*16

b = 192

Thus she arranged 192 books in 16 rows

Is 84 divisible by3?

Answers

Yes, 84 is divisible by 3. This can be demonstrated using the modulus operator.

The modulus operator returns the remainder of a division problem. In this case, we can divide 84 by 3 and see what the remainder is.

Calculation

84 ÷ 3 = 28

Remainder

84 % 3 = 0

Since the remainder is 0, this means that 84 is evenly divisible by 3. This can be shown mathematically as 84 = 3 × 28. In other words, 84 is a multiple of 3, meaning it is divisible by 3.

Learn more about modulus operator here:

https://brainly.com/question/14832398

#SPJ4

Jim ran four-fifths of a mile and dropped out of the 1600meter race. his pace was 12 miles and hour until the point he dropped out of the race. How many minutes did he run?

Answers

Answer:

4

Step-by-step explanation:

speed = distance/time

time = distance/speed

time = 4/5 mile / 12 mph

time = 0.0666... hours × (60 minutes)/(1 hour)

time = 4 minutes

new bank customer with ​$3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.6​%. a. How much interest will the customer earn in 20 ​years? b. What will the account balance be after 20 ​years?

Answers

The interest earned at 1.6% for 20 years will be $960.

What is simple interest?

Borrowers must pay lenders simple interest as a fee in exchange for a loan. Compound interest is excluded from the calculation and just the original principal is used.

Simple interest applies to all loans, not just specific ones. Additionally, it refers to the kind of interest that banks give their customers on their savings accounts.

Given that a new bank customer with ​$3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.6​%.

The interest after 20 years will be calculated as,

SI = ( P x R X T ) / 100

SI = ( 3000 x 1.6 x 20 ) / 100

SI = $960

To know more about simple interests follow

https://brainly.com/question/25793394

#SPJ1

Other Questions
When posting to a professional networking account, you should share stories and comments that _____. Stigmas are ____________ because they break the claims of all other attributes a person possesses. A selectively permeable membrane sac filled with water and large molecules of starch is suspended in a beaker of distilled water. what will happen? A sheet of muscles covering the back of the shoulders that aids in shoulder shrugs is called the:_______ 95 POINTS+BRAINLIEST- 8TH GRADE ENGLISH- LITERARY DEVICESis the correct answer choice wrong? Because there are similes in the passage.. Also, please explain why I was wrong, if that was the case. Offensive answers or ones for points will be reported :))) A balloon filled with air has a volume of 4.24 liters at 23.00c. if the balloon is cooled at constant pressure to 5.00c, what is its new volume? the balloons volume at 5c is liters. NEED ANSWER ASAP The presence of a large population of water lice in a water source indicates what about its pollution levels?A. Organic pollution is moderate but declining. Oxygen levels are just beginning to increase.B. Oxygen is plentiful, organic pollution is nearly absent.C. Organic pollution is very high and oxygen has been depleted.D. Oxygen levels are moderate, organic pollution is present but low. In which tribe of Guinea, both men and women behave in ways in which we call masculine The category of race has been used to group different peoples together or separately based upon which explain how the following problem could be solved. then, solve the problem. a full-grown dog is about one-eighth as heavy as a cow. together, they weigh 360 kg. A client expressed concern that her 2 hour old newborn is sleepy and difficult to awaken. What does the nurse do next? What are the phases of mitosis? For revision notes The comparative financial statements of Stargel Inc. are as follows. The market price of Stargel common stock was $119.70 on December 31, 20Y2. Stargel Inc. Comparative Retained Earnings Statement For the Years Ended December 31, 20Y2 and 20Y1 20Y2 20Y1 Retained earnings, January 1 $5,375,000 $4,545,000 Net income $900,000 $925,000 Dividends: On preferred stock (45,000) (45,000) On common stock (50,000) (50,000) Increase in retained earnings $805,000 $830,000 Retained earnings, December 31 $6,180,000 $5,375,000 Stargel Inc. Comparative Income Statement For the Years Ended December 31, 20Y2 and 20Y1 20Y2 20Y1 Sales $10,000,000 $9,400,000Cost of goods sold (5,350,000) (4,950,000) Gross profit $4,650,000 $4,450,000 Selling expenses $(2,000,000) $(1,880,000) Administrative expenses (1,500,000) (1,410,000) Total operating expenses $(3,500,000) $(3,290,000) Operating income $1,150,000 $1,160,000 Other revenue and expense: Other revenue 150,000 140,000 Other expense (interest) (170,000) (150,000) Income before income tax expense $1,130,000 $1,150,000 Income tax expense (230,000) (225,000) Net income $900,000 $925,000 Stargel Inc. Comparative Balance Sheet December 31, 20Y2 and 20Y1 20Y2 20Y1 Assets Current assets: Cash $500,000 $400,000 Marketable securities 1,010,000 1,000,000 Accounts receivable (net) 740,000 510,000 Inventories 1,190,000 950,000 Prepaid expenses 250,000 229,000 Total current assets $3,690,000 $3,089,000 Long-term investments 2,350,000 2,300,000 Property, plant, and equipment (net) 3,740,000 3,366,000 Total assets $9,780,000 $8,755,000 Liabilities Current liabilities $900,000 $880,000 Long-term liabilities: Mortgage note payable, 10% $200,000 $0 Bonds payable, 10% 1,500,000 1,500,000 Total long-term liabilities $1,700,000 $1,500,000 Total liabilities $2,600,000 $2,380,000 Stockholders' Equity Preferred $0.90 stock, $10 par $500,000 $500,000 Common stock, $5 par 500,000 500,000 Retained earnings 6,180,000 5,375,000 Total stockholders' equity $7,180,000 $6,375,000 Total liabilities and stockholders' equity $9,780,000 $8,755,000 Required: Determine the following measures for 20Y2, rounding to one decimal place, except dollar amounts which should be rounded to the nearest cent. 1. Working capital 2,790,000 2. Current ratio 4.1 3. Quick ratio 2.54. Accounts receivable turnover 16 5. Number of days' sales in receivables days 6. Inventory turnover 7. Number of days' sales in inventory days 8. Ratio of fixed assets to long-term liabilities 9. Ratio of liabilities to stockholders' equity 10. Times interest earned 11. Asset turnover 12. Return on total assets13. Return on stockholders' equity 14. Return on common stockholders' equity % 15. Earnings per share on common stock 16. Price-earnings ratio 17. Dividends per share of common stock $ 18. Dividend yield % Find the center and radius of the circle with the equation: (x-0^2 + (y+1)^2 = 4a.center: (-5, 1)radius: 4c.center: (-5, 1)radius: 2b.center: (5, -1)radius: 4d.center: (5, -1)radius: 2 A set of 3 pens costs $1.68. At that unit price, how much would one pen cost? Occasionally a broker is compensated based on a predetermined sale price, and the broker retains any amount of the actual sale price above that amount. this is known as a:_______ Juan Delgado is an employee in your sales department and Li Park is an outside consultant. If you share a dashboard with both of them, will there be any difference in their Power BI experience? Find the digits x and y such that number 90x0y07 is divisble by 2017 Select all the correct systems of equations. Which systems of equations have infinite solutions? 2x + 5y = 31 6x - y = 13 y = 14 - 2x 6x + 3y = 42 2x + y = 14 x = 13-2y Reset 2x + y = 10 -6x = 3y + 7 y = 13-2x 4x - 3y = -19 2x + y = 17 Next -6x = 3y - 51 An action force is 50 N to the left. The reaction force must be:A. 50 N rightB. 50 N downC. 50 N leftD. 50 N up