Jerry was given some birthday money He puts the money in an account Every month after that he deposits the same amount of money The equation that models this situation y=50x+75 where y is the amount of money int he account and x is the number of deposits What does the y- intercept means in this situation

Answers

Answer 1

Answer: He was given $75 for his birthday

Step-by-step explanation:

Answer 2

The y - intercept represents the rate of which the money is being deposited in the account.

What is linear equation in two variable ?

"An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero."

"The solution of linear equations in two variables, ax+by = c, is a particular point in the graph, such that when x-coordinate is multiplied by a and y-coordinate is multiplied by b, then the sum of these two values will be equal to c.

Basically, for linear equation in two variables, there are infinitely many solutions."

The given equation is y = 50x + 75

The y intercept represents the amount of money to be deposited in account. The rate of change of money in the account with represent to the months.

Hence, y represents money deposited in the account.

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Related Questions

x+3y-Z=0
2x+y+Z=1
3X-y+Z=3

Answers

Answer: x = 1, y = -1/2 and z = -1/2

Explanation:

I added a picture

ASAP Which graph has a correlation coefficient, r, closest to 0.75?

Answers

Answer:

C. Graph C

Step-by-step explanation:

In a scatter plot, a positive correlation coefficient suggests that as one variable increases the other increases as well, or as one decreases, the other decreases.

Also, the more clustered the data points are along the line of best fit, the higher the value of the coefficient, whether positive or negative.

Graph C shows a positive correlation because as the variable on the x-axis increases, the variable on the y-axis also increases. The data points are more clustered along the line if best fit, if we draw one. This suggest a positive correlation coefficient (r) as strong as 0.75.

Graph C has a correlation coefficient, r, that is closer to 0.75.

Answer: graph A ‼️

Step-by-step explanation:

For an ordered pair (x,y) in a relation, the y element represents the

a.) range
b.) domain
c.) function
d.) input

Answers

Answer: y represents the range

Explanation:

x represents the domain
y represents the range

y represents the range for an ordered pair (x, y). Option A is correct.

For an ordered pair (x, y), What y represents is to determine.

What is range?

Range of the function is the output value of the function.

Here, in ordered pair (x, y) x represents the values of independent variable terms as domain. And for every value of x their is exist or output values y this  set of y values is called as range.

Thus, y represents the range for an ordered pair (x, y).

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In a study of pain relievers, 50 people were given product A, and 35 experienced relief. In the same study, 25 people were given product B, and 19 experienced relief. Fill in the blanks of the statement below to make the statement the most reasonable possible. Product __ performed better in the study because __% got relief with this product, whereas only __% got relief from product __

Answers

Answer:

Product B performed better in the study because 76% got relief with this product, whereas only 70% got relief from product A

Step-by-step explanation:

Product A

Total number of people tested = 50

Total number o who experienced relief using product A

                                                  = 35

% of people who got relief using product A

                                                   = 35/50 x 100%

                                                   = 70%

Product B

Total number of people tested = 25

Total number of people who experienced releif using product B

                                                  = 19

% of peope who got relief using product B

                                                  = 19/25 x 100%

                                                  = 76%

From the above:

76% of people got relieved whilst using product B

70% who got relieved using product A.

Therefore, product B performed better in the study because 76% got relief with this product, whereas only 70% got relief from product A

pls help ill give you 20 points and only correct answers plsss

Answers

Answer:

C) Local Eats

Step-by-step explanation:

So this one is pretty simple in retrospect. Just some proportions

Food Queen) 3.60:6=.60:1        1 pound is 60 cents

Grocery Smart) $1/4:1/2= $1/2:1   $1/2=50 cents       1 pound is 50 cents

Fresh Farm) $3:4=$1.50:2=.75:1       1 pound is 75 cents

Local Eats) .49:1     1 pound is 49 cents

As you can see, the answer is C) Local Eats

Step 1:

First, let's convert all of the numbers on the numerator side to decimals. Food Queen, Fresh Farm, and Local Eats are already in decimals, but Grocery Smart is not. 1/4 is 25%, which is equal to 0.25.

Step 2:

We need to convert all the values to represent the price of one pound. To do that, we just divide as written.

Food Queen: 3.00 ÷ 6 = 0.50

Grocery Smart: 0.25 ÷ 0.5 = 0.50

Fresh Farm: 3.00 ÷ 4 = 0.75

Local Eats: 0.49

Our answer: C. Local Eats. $0.49

Help please I need help as soon as possible!all answers are appreciated! Keisha tried to evaluate an expression step by step. 3+(−4)−7

Answers

Answer:

D no mistakes

Step-by-step explanation:

3+(-4)-7 is equal to 3-4-7=-8

Answer:0

Step-by-step explanation:

3+(-4)-7 when there are parenthesis around a negative number you flip it to positive and then 4+3-7=0

Suppose you are standing such that a 32-foot tree is directly between you and the sun. If you are standing 140 feet away from the tree and the tree casts a 160-foot shadow, how tall could you be and still be completely in the shadow of the tree? x 160 ft 140 ft 32 ft

Answers

Answer:

Height = 4 feet

Step-by-step explanation:

To determine how tall I can be we take the difference between the shadow cast by the 32-feet tree and the distance away from the tree

But the tree is 32 feet tall but on shadow it's 160

So lemme determine how long I'll be in my shadow first

Distance away from tree= 140 feet

Length of shadow cast by tree

= 160 feet

Length of shadow= 160-140

Length if shadow= 20 feet

My height= x

X/20= 32/160

X= 20*32/260

X = 4 feet

Height = 4 feet

Please answer this correctly without making mistakes

Answers

Answer:

17/16 OR [tex]1\frac{1}{16}[/tex] minutes

Step-by-step explanation:

Since Jayla spent 1/16 of a minute AND one whole minute watching a millipede crawl, we'd need to first add the two numbers.

Since the given minute is out of 16, we can convert the one minute to 16/16.  This means we can add the other 1/16 of a minute.

This leaves us with Jayla watching the millipede for 17/16 OR [tex]1\frac{1}{16}[/tex] minutes.

Hope this helps!! <3 :)

17/16 I thinkkkk ( forgive me if I’m wrong )

Nan lives 13 miles from the airport. Felipe lives 6 miles from the airport.
How many more miles does Nan live from the airport than Felipe?

Answers

Answer:

7

Step-by-step explanation:

it's simply 13 - 6

7 it the answer, that was easy

Using only the confidence interval approach, at LaTeX: \alpha α = 0.05, the conclusion about the LaTeX: \beta β1 hypothesis test is:

Answers

Answer:

Reject the null hypothesis because the value of null is outside the interval.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value Test statistics is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. In the given case p-value is less than critical value then we should reject the null hypothesis.

A house m by m is surrounded by a walkway m wide. 27 9 1.8 a) Find the area of the region covered by the house and the walkway. b) Find the area of the walkway.

Answers

Answer:

A. 385.56 square meters.

B. 142.56 square meters.

Step-by-step explanation:

A house 27m by 9m is surrounded by a walkway 1.8m wide.

a) Find the area of the region covered by the house and the walkway.

​b) Find the area of the walkway.

Let

Length of the house=l=27m

Width of the house=w=9m

Wideness of the walkway=x=1.8m

Area of the region covered by the house and the walkway

=( L + 2*x) * (w + 2*x)

= (27+2*1.8)*(9+2*1.8)

=(27+3.6)*(9+3.6)

=(30.6)*(12.6)

=385.56 square meters.

​b) Area of the walkway

= (L + 2*x)*(w + 2*x) - l*w

= (27+2*1.8)*(9+2*1.8) - 27*9

=(27+3.6)*(9+3.6) - 243

=(30.6)*(12.6) - 243

=385.56 - 243

=142.56 square meters.

Найдите наибольшее значение функции y=8ln(x+7)-8x+3 на отрезке [-6,5;0]

Answers

Answer:

Maximum at (-6,51), or value of f(-6) = 51

Step-by-step explanation:

f(x) = 8*log(x+7)-8*x+3

differentiate with respect to x

f'(x) = 8/(x+7) -8

To find maximum, set f'(x) = 0

f'(x) = 8/(x+7) -8 = 0

solver for x

x= -6

evaluate f(x) at x=-6

f(-6) = 8log(-6+7) - 8(-6) + 3

= 0 +48 +3

= 51

Note: next time please post only in English.  This post will soon be deleted.

. In statistics, a data set has the following characteristics: (Choose all that apply) A:A data set is a collection of similar data. B:A data set can contain only quantitative data. C:A data set is any piece of descriptive or quantitative information on any object of study. D:A data set contains data all of which have some common characteristic.

Answers

Answer:

A. A data set is a collection of similar data.

D. A data set contains data all of which have some common characteristic.

What is the product of 2p + q and -39 - 6p + 1?
0 -12p2 - 6pq – 4p - 32 + 1
O-12p2- 12pq + 2p – 392 +9
- gp² q² + 12pq - 2p + 9
12p2 + 12pq +2p + 302 + 9

Answers

Answer:

Option (2)

Step-by-step explanation:

In this question we have to find the multiplication of the two expressions.

(2p + q)(-3q - 6p + 1)

= 2p(-3q - 6p + 1) + q(-3q - 6p + 1) [By distributive property]

= -6pq - 12p²+ 2p - 3q² - 6pq + q

= -12p² - (6pq + 6pq) - 3q² + 2p + q

= -12p² - 12pq + 2p - 3q² + q

Therefore, Option (2) will be the correct option.

If you move from zero to 15 on the number line, you are representing all of the following exce
the opposite of -15
the opposite of 15
the absolute value of 15
the distance between zero and 15

Answers

Answer: the opposite of 15

Step-by-step explanation:

Every number 'a' on number line is exactly opposite of '-a'.

So, 15 is the opposite of '-15'

Also absolute value for any number gives its positive value, soabsolute value of 15 = 15

Moving 0 to 15 gives the  distance between zero and 15.

So all statements are true except "the opposite of 15".

Hence, the required statement is "the opposite of 15".

What is the biggest value of probability?

Answers

Answer:

1

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

The answer is 1 as that means its certain that the event will happen.

hope thus helps,have a great day!!

~Pinky~

The difference of two trinomials is x2 − 10x + 2. If one of the trinomials is 3x2 − 11x − 4, then which expression could be the other trinomial? 2x2 − x − 2 2x2 + x + 6 4x2 + 21x + 6 4x2 − 21x – 2

Answers

Answer: [tex]4x^2-21x-2[/tex] .

Step-by-step explanation:

Given: The difference of two trinomials is [tex]x^2 -10x + 2[/tex]. If one of the trinomials is [tex]3x^2 - 11x - 4[/tex].

Then, the other trinomial will be ([tex]3x^2 - 11x - 4[/tex] ) + ([tex]x^2 -10x + 2[/tex])

[tex]=3x^2-11x-4+x^2-10x+2\\\\=3x^2+x^2-11x-10x-4+2\\\\=4x^2-21x-2[/tex]

Hence, the other trinomial could be : [tex]4x^2-21x-2[/tex] .

Evaluate the polynomial when x = 3 and y = - 8
x2 + y2 + xy

Answers

Answer: 49

Work Shown:

Replace x with 3, replace y with -8. Use order of operations PEMDAS to simplify.

x^2 + y^2 + x*y

3^2 + (-8)^2 + 3*(-8)

9 + 64 - 24

73 - 24

49

Answer:

49

Step-by-step explanation:

We are given the polynomial:

[tex]x^2+y^2+xy[/tex]

We want to evaluate when x=3 and y= -8. Therefore, we must substitute 3 for each x and -8 for each y.

[tex](3)^2+(-8)^2+(3*-8)[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Solve the parentheses first. Multiply 3 and -9.

3*-8=-24

[tex](3)^2+(-8)^2 + -24[/tex]

[tex](3)^2+(-8)^2-24[/tex]

Now, solve the exponents.

3^2= 3*3 =9

[tex]9+ (-8)^2 -24[/tex]

-8^2= -8*-8= 64

[tex]9+64-24[/tex]

Add 9 and 64

[tex]73-24[/tex]

Subtract 24 from 73

[tex]49[/tex]

The polynomial evaluated for x=3 and y= -8 is 49.

if Israel spends the most time on social media with an average of 11.1 and peru spends a total time of 8.3 how much more time does israel spend on social media than peru

Answers

Answer:

israel spends 2.8 more (units) than peru.

Step-by-step explanation:

11.1 - 8.3 = 2.8, so israel spends 2.8 (units), more on social media.

You are investing $5,000 and can invest for 2 years or 3 years at 1.75% and 1.25% interest rates, respectively. Which earns more interest

Answers

Answer:

The 3 years investment earns more interest

Step-by-step explanation:

Given

Principal, P = $5,000

Required

Determine which earns more interest

When Rate = 1.75% and Year = 2

Interest is as follows;

[tex]I = \frac{PRT}{100}[/tex]

Substitute 1.75 for R, 5000 for P and 2 for T

[tex]I = \frac{5000 * 1.75 * 2}{100}[/tex]

[tex]I = \frac{17500}{100}[/tex]

[tex]I = \$175[/tex]

When Rate = 1.25% and Year = 3

Interest is as follows;

[tex]I = \frac{PRT}{100}[/tex]

Substitute 1.25 for R, 5000 for P and 3 for T

[tex]I = \frac{5000 * 1.25 * 3}{100}[/tex]

[tex]I = \frac{18750}{100}[/tex]

[tex]I = \$187.5[/tex]

Comparing the interest of both investments, the 3 years investment earns more interest

Question 2 of 10
What is the slope of the line x = 3?

Answers

Answer:

[tex]\boxed{\mathrm{U n d e f i n e d \ slope }}[/tex]

Step-by-step explanation:

x = 3 is a vertical line.

The slope of a vertical line is undefined.

Find the polynomial for the area.
The area is​

Answers

Answer:  ¹/₂( x² - 10y² + 10xy - xy )

Step-by-step explanation:

From the diagram area of the triangle = ¹/₂ ˣ base ˣ height

where the base = x + 10y and the height = x - y

Therefore putting these into the formula above

Area  =   ¹/₂ [( x + 10y )( x -y )]

         =   ¹/₂( x² - xy + 10xy - 10y²)units²

         = ¹/₂( x² - 10y² + 10xy - xy )

     

The perimeter of a rectangle is 80 cm. Find the lengths of the sides of the rectangle giving the maximum area.Enter the answers for the lengths of the sides in increasing order.

Answers

Answer:

The lengths of the sides are 20 cm and 20 cm

Step-by-step explanation:

Given

Perimeter, P = 80cm

Represent the length and width with L and W, respectively;

[tex]P= 2*(L + B)[/tex]

Substitute 80 for P

[tex]80 = 2 * (L + B)[/tex]

Divide through by 2

[tex]40 = L + B[/tex]

[tex]L + B = 40[/tex]

Make L the subject of formula

[tex]L = 40 - B[/tex]

Area of a rectangle is calculated as thus;

[tex]Area = L * B[/tex]

Substitute 40 - B for L

[tex]Area = (40 - B) * B[/tex]

Express this as a function

[tex]A(B) = (40 - B)* B[/tex]

[tex](40 - B)* B = A(B)[/tex]

Set A(B) = 0 to determine the roots

Hence;

[tex](40 - B)* B = 0[/tex]

[tex]40 - B = 0[/tex] or [tex]B = 0[/tex]

[tex]40 = B[/tex] or [tex]B = 0[/tex]

[tex]B = 40[/tex] or [tex]B = 0[/tex]

The maximum area of a rectangle occurs at half the sum of the roots;

So;

[tex]B= \frac{B_1 + B_2}{2}[/tex]

[tex]B= \frac{40+0}{2}[/tex]

[tex]B= \frac{40}{2}[/tex]

[tex]B = 20[/tex]

Recall that [tex]L = 40 - B[/tex]

[tex]L = 40 - 20[/tex]

[tex]L = 20[/tex]

Hence the lengths of the sides are 20 cm and 20 cm

What is the approximate area of a circle enclosed by a piece of rope 50.24 inches long? (Use the fact that π ≈ 3.14 to make your calculations.)

Answers

Answer:

the approximate area of this circle is 200.96 inches long.

Step-by-step explanation:

To answer this problem we need to remember that the area of a circle is given by the formula:

Area = π[tex]r^2[/tex] where r is the radius.

and the perimeter is:

Perimeter = 2πr

Now, the problem tells us that the circle is enclosed by a piece of rope that's 50.24 inches long. So the perimeter of the circle is 50.24 inches.

Since we have the value of the perimeter and the value of pi, we are going to substitute these values in the perimeter formula to find r.

Perimeter = 2πr

50.24=2(3.14)r

50.24= 6.28r

50.24/6.28= r

8= r

Thus, the radius of the circle is 8 inches long.

Now, we can use this value to find the area of the circle:

Area = π[tex]r^2[/tex]

Area = π[tex]8^2[/tex]

Area = 3.14 (64)

Area = 200.96

Therefore, the approximate area of this circle is 200.96 inches long.

The approximate area of a circle enclosed by a piece of rope is 200.96 square inch.

The length of rope by which a circle is made, is known as circumference of circle.

Circumference of circle =  [tex]2\pi r[/tex]   , where r is radius of circle.

Since, length of rope is 50.24 inches.

                [tex]2\pi r=50.24\\\\r=\frac{50.24}{2*3.14}=8 inch[/tex]

Area of circle = [tex]\pi r^{2}[/tex]

                      = [tex]3.14 *(8)^{2}=200.96[/tex] square inch

Thus,  the approximate area of a circle enclosed by a piece of rope is 200.96 square inch.

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Lauren bought 4 bags of popcorn for $3.00. What is the unit rate per bag of popcorn."?

Answers

Answer:

$0.75

Step-by-step explanation:

Given that

Number of bags of popcorn bought = 4

Total money spent = $3.00

To find:

Unit rate per bag of popcorn = ?

i.e. price of one bag of popcorn is to be find out.

Solution:

We can use ratio here to find the rate of one bag of popcorn.

4 bags bought at $3

4 bags : $3

Let us divide both the sides with 4.

[tex]\frac{4}4[/tex] bags : $ [tex]\frac{3}4[/tex]

OR

1 bag bought at $ 0.75

We can alternatively use unitary method.

4 bags are bought at $ 3

1 bag is bought at $ [tex]\frac{3}{4}[/tex]

1 bag is bought at $0.75.

So, unit rate per bag of popcorn is $0.75.

If Discriminant > 0 :


What is "m" in ( 2x^2 + 4x + 1 - 3m=0) ?




Answers

The given equation is in the form ax^2+bx+c = 0 with

a = 2b = 4c = 1-3m

D = discriminant

D = b^2 - 4ac

D = 4^2 - 4(2)(1-3m)

D = 16 - 8(1-3m)

D = 16 - 8 + 24m

D = 24m + 8

D > 0

24m + 8 > 0

24m > -8

m > -8/24

m > -1/3

As long as m is larger than -1/3, then the discriminant is positive. There are infinitely many solutions to pick from.

An economist is interested in studying the income of consumers in a particular region. The population standard deviation is known to be $1,000. A random sample of 50 individuals resulted in an average income of $15,000. What is the width of the 90% confidence interval

Answers

Answer:

The width is  [tex]w = 282.8[/tex]

Step-by-step explanation:

From the question we are told that

  The sample size is n =  50

  The  population standard deviation is  [tex]\sigma = \$ 1000[/tex]

   The sample size is  [tex]\= x = \$ 15,000[/tex]

Given that the confidence level is  90%  then the level of significance can be mathematically represented as

             [tex]\alpha = 100 - 90[/tex]  

             [tex]\alpha = 10 \%[/tex]  

              [tex]\alpha = 0.10[/tex]

Next we obtain the critical value of  [tex]\frac{\alpha }{2}[/tex] from the  normal distribution table, the value is  

             [tex]Z_{\frac{0.10 }{2} } = 1.645[/tex]

Generally the margin of error is mathematically represented as

               [tex]E = Z_{\frac{0.10}{2} } * \frac{\sigma }{\sqrt{n} }[/tex]

substituting values

                 [tex]E = 1.645 * \frac{1000 }{\sqrt{50 }}[/tex]

=>                [tex]E = 141.42[/tex]

  The width of the 90%  confidence level is mathematically represented as

                      [tex]w = 2 * E[/tex]

substituting values

                       [tex]w = 2 * 141.42[/tex]

                       [tex]w = 282.8[/tex]

 

Find the midpoint of the segment connecting (−1.8, 1.9) and (1.2, 2.7).

Answers

Answer:

(-0.3, 2.3)

Step-by-step explanation:

(-1.8+1.2)/2 = -0.3

(1.9+2.7)/2 = 2.3

Answer:

( - 0.3 , 2.3 )

Step-by-step explanation:

Let the points be A and B

A ( - 1.8 , 1.9 ) ⇒( x₁ , y₁ )

B ( 1.2 , 2.7 )⇒ ( x₂ , y₂ )

Now, let's find the midpoint:

[tex] \mathsf{ (\frac{x1 + x2}{2} \: , \frac{y1 + y2}{2} )}[/tex]

Plug the values

[tex] \mathsf{ = (\frac{ - 1.8 + 1.2}{2} \: , \frac{1.9 + 2.7}{2} )}[/tex]

Calculate

[tex] \mathsf{ = ( \frac{ - 0.6}{2} \: , \frac{4.6}{2} )}[/tex]

[tex] \mathsf{ = (- 0.3 \:, 2.3)}[/tex]

Hope I helped!

Best regards!

Drag the ruler over each side of the triangle to find its length. The length of AB is . The length of BC is . ASAP Drag the protractor over each angle to find its measure. The measure of angle C is . The measure of angle B is .

Answers

Answer:

Drag the ruler over each side of the triangle to find its length.

The length of AB is

✔ 5

.

The length of BC is

✔ 4

.

Drag the protractor over each angle to find its measure.

The measure of angle C is

✔ 90°

.

The measure of angle B is

✔ 36.9°

.

Step-by-step explanation:

The length of sides AB and BC of the triangle will be 5 units and 4 units. And the measure of angle C and angle B of the triangle will be 90° and 37°.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Drag the ruler over each side of the triangle to find its length.

The length of side AB of the triangle is 5 units.

The length of side BC of the triangle is 4 units.

Drag the protractor over each angle to find its measure.

The measure of angle C of the triangle is 90°.

The measure of angle B of the triangle is 37°.

The length of sides AB and BC of the triangle will be 5 units and 4 units.

And the measure of angle C and angle B of the triangle will be 90° and 37°.

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Find usubscript10 in the sequence -23, -18, -13, -8, -3, ...

Answers

Step-by-step explanation:

utilise the formula a+(n-1)d

a is the first number while d is common difference

Answer:

22

Step-by-step explanation:

Using the formular, Un = a + (n - 1)d

Where n = 10; a = -23; d = 5

U10 = -23 + (9)* 5

U10 = -23 + 45 = 22

Other Questions
ab-0.5bab0.5ba, b, minus, 0, point, 5, b when a=1a=1a, equals, 1 and b=5b=5 A mangrove swamp is more likely to exist along shores of which location? Pattison Corporation is a service company that measures its output by the number of customers served. The company has provided the following fixed and variable cost estimates that it uses for budgeting purposes. Fixed Element per Month Variable Element per Customer Served Revenue $5,500 Employee salaries and wages $46,300 $1,000 Travel expenses $ 500 Other expenses $32,500 When the company prepared its planning budget at the beginning of May, it assumed that 20 customers would have been served. However, 17 customers were actually served during May. The activity variance for "Travel expenses" for May would have been closest to: Which methods could you use to calculate the y-coordinate of the midpoint of vertical line segment with endpoints at (0,0) and (0,15)? Check all that apply On October 31, the stockholders equity section of Sunland Companys balance sheet consists of common stock $696,000 and retained earnings $397,000. Sunland is considering the following two courses of action: (1) Declaring a 5% stock dividend on the 87,000 $8 par value shares outstanding (2) Effecting a 2-for-1 stock split that will reduce par value to $4 per share. The current market price is $15 per share. Prepare a tabular summary of the effects of the alternative actions on the companys stockholders equity and outstanding shares. Each day the chill canteen meal can be 1 of three things. The probability that it is pizza is 0.3. The probability that it is curry is 0.42. What is the probability that it is pasta Write a letter to the editor of a local daily educating the people about consumer awareness in India. Can yall please help me I need this done before 4:00 if yall help me Ill give yall sum the number 73 can be written as the sum of 73 consecutive integers. What are the greatest and the smallest of those numbers? Conflict between North Korea and South Korea was caused by a difference in Chester currently has $17,624 (000) in cash and management has decided to issue stocks and bonds worth an additional $8,000 (000). Assuming that cash from operations will be the same for each of the following activities, which activity exposes this company to the most risk of being issued an emergency loan?a) purchasing $18,000 (000) worth of plant and equiptmentb) liquidate the new inventoryc) retiring the oldest bondd) a $5 dividend Write a thesis statement using enjoying really bad movies 14. Why did crops and animals from the Middle East thrive in Europe and Asia? An urn contains two blue balls (denoted B1 and B2) and three white balls (denoted W1, W2, and W3). One ball is drawn, its color is recorded, and it is replaced in the urn. Then another ball is drawn and its color is recorded. a. Let B1 W2 denote the outcome that the first ball drawn is B1 and the second ball drawn is W2. Because the first ball is replaced before the second ball is drawn, the outcomes of the experiment are equally likely. List all 25 possible outcomes of the experiment. b. Consider the event that the first ball that is drawn is blue. List all outcomes in the event. What is the probability of the event? c. Consider the event that only white balls are drawn. List all outcomes in the event. What is the probability of the event? Look at this graph:1098765432X01234568910What is the slope?Simplify your answer and write it as a proper fraction, improper fraction, or integer.Submite to searchoLa According to this cartoon, what would giving women the right to vote do topolitics? If you go to a nutrition store and buy a supplement you can count on the fact that it is pure and safe because supplements are regulated controlled and inspected by the FDA Which of the following is an Important criterion for evaluating the effctiveness of a graphic organizer Ace Cleaning Service is considering expanding into one or more new market areas. Which costs are relevant to Ace's decision on whether to expand? Hankins, Inc., is considering a project that will result in initial aftertax cash savings of $5.3 million at the end of the first year, and these savings will grow at a rate of 3 percent per year indefinitely. The firm has a target debt-equity ratio of .52, a cost of equity of 13.2 percent, and an aftertax cost of debt of 6.6 percent. The cost-saving proposal is somewhat riskier than the usual project the firm undertakes; management uses the subjective approach and applies an adjustment factor of 1 percent to the cost of capital for such risky projects.Required:a. Calculate the WACC.b. What is the maximum cost the company would be willing to pay for this project?