Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to approximate the sum of the series with an error of less than 0.0001.

Answers

Answer 1

Answer:

yeyyyaya

Step-by-step explanation:


Related Questions

someone could help me?​

Answers

Answer:

[tex]B= 3.14 * 4^4 = 50.24cm^2\\h = 16cm\\V=B*h=50.24*16=803.84cm^3[/tex]

Step-by-step explanation:

The area of the base is the area of a circle with a radius equal to 4 cm. It means that the area can be calculated as:

[tex]B = 3.14 * r^2\\B= 3.14 * 4^4 = 50.24cm^2[/tex]

The height of the cylinder is shown in the picture, it is equal to 16 cm.

Finally, the volume of the cylinder can be calculated as:

[tex]V = B*h=50.24*16 = 803.84cm^3[/tex]

Where B is the base and h is the height of the cylinder.

Six years ago, an investor purchased a downtown apartment complex and an adjacent piece of land. The current value of the property is $850,000. Of the total, the current value of the apartment complex is $710,000 and the current value of the land is $140,000. Using the straight-line method, assuming an average appreciation of 6% on the land and an average depreciation of 3% on the apartment complex, what was the original value of the property? Round your answer to the nearest dollar.

Answers

Answer: $951,064.06 would be your answer.

Step-by-step explanation: Hope that helped!

PLEASE HELP I WILL GIVE BRAINLIEST TO CORRECT ANSWER




A greengrocer has 38 lb of carrots when he opens on Monday morning. During the day
he gets a delivery of 60lb of carrots and sells 29 lb of the carrots. How many pounds of
carrots are left when he closes on Monday evening?

Answers

Answer:

9 is the answer

Step-by-step explanation:

got a delivery of 60ib...but dont have enough .thats why he or she sells 29..totally he or she have 38ib of carrots ...so when we subtract 38_29

its =9

What is the image of (-8, 10) when reflected in the y-axis?

Answers

Answer:

if you're just reflecting the point over the y-axis it just becomes (8,10)

Answer: (8, 10)

Explanation and Example:

I have a trick that I use. I'm not sure if it will make sense to you but I'll explain it. When the question asks you to reflect over the x-axis, then keep the x in (x,y) the same and just flip the sign for the y. If the question asks you to reflect over the y-axis, then keep y the same and flip the sign for x.

Reflect over x-axis:

(-2, 6) -----> (-2, -6)

Reflect over y-axis:

(-4, -8) -----> (4, -8)

Transformations of exponential functions

Answers

Answer:

Since the transformation is made by shifting the function right, it is a horizontal transformation.

HELP! WILL GIVE BRAINLIEST!

Answers

Answer:

Her eye discourses; I will answer it.

I am too bold; ’tis not to me she speaks:

Two of the fairest stars in all the heaven,

Having some business, do entreat her eyes

To twinkle in their spheres till they return.

Step-by-step explanation:

Of the cartons produced by a​ company, ​% have a​ puncture, ​% have a smashed​ corner, and ​% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner nothing​%. ​(Type an integer or a decimal. Do not​ round.)

Answers

Full Question

Of the cartons produced by a​ company, 10​% have a​ puncture, 6​% have a smashed​ corner, and 0.4​% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner nothing​ ____%. ​(Type an integer or a decimal. Do not​ round.)

Answer:

[tex]P(Punctured\ or\ Smashed\ Corner) = 0.156[/tex]

Step-by-step explanation:

Given

[tex]Puncture\ Corner = 10\%[/tex]

[tex]Smashed\ Corner = 6\%[/tex]

[tex]Punctured\ and\ Smashed\ Corner = 0.4\%[/tex]

Required

[tex]P(Punctured\ or\ Smashed\ Corner)[/tex]

For non-mutually exclusive event described above, P(Punctured or Smashed Corner) can be calculated as thus;

[tex]P(Punctured\ or\ Smashed\ Corner) = P(Punctured\ Corner) + P(Smashed\ Corner) - P(Punctured\ and\ Smashed\ Corner)[/tex]

Substitute:

10% for P(Puncture Corner),

6% for P(Smashed Corner) and

0.4% for P(Punctured and Smashed Corner)

[tex]P(Punctured\ or\ Smashed\ Corner) = 10\% + 6\% - 0.4\%[/tex]

[tex]P(Punctured\ or\ Smashed\ Corner) = 15.6\%[/tex]

Convert % to fraction

[tex]P(Punctured\ or\ Smashed\ Corner) = \frac{15.6}{100}[/tex]

Convert to decimal

[tex]P(Punctured\ or\ Smashed\ Corner) = 0.156[/tex]

Using Venn probabilities, it is found that:

The probability that a randomly selected carton has a puncture or a smashed corner is 15.6%.

In this problem, the events are:

Event A: Puncture.Event B: Smashed corner.

The "or" probability is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

10% have a​ puncture, hence [tex]P(A) = 0.1[/tex]6% have a smashed​ corner, hence [tex]P(B) = 0.06[/tex].0.4% have both a puncture and a smashed corner, hence [tex]P(A \cup B) = 0.004[/tex].

Then:

[tex]P(A \cup B) = 0.1 + 0.06 - 0.004 = 0.156[/tex]

The probability that a randomly selected carton has a puncture or a smashed corner is 15.6%.

To learn more about Venn probabilities, you can check https://brainly.com/question/25698611

Which equation shows y-5=x converted to slope intercept form.

Answers

Answer:

C) y = x + 5

Step-by-step explanation

Add 5 to both sides

solve for the variable x^2 - 8 = -1 Show all work please

Answers

Answer:

x = ±sqrt(7)

Step-by-step explanation:

x^2 - 8 = -1

Add 8 to each side

x^2 - 8+8 = -1+8

x^2 = 7

Take the square root of each side

sqrt(x^2) = ±sqrt(7)

x = ±sqrt(7)

NEED HELP THANKLSSSS

Answers

Answer:

Side length: 3 cm.

Surface area: 54 cm squared.

Step-by-step explanation:

The formula for a cube is the side length cubed, since the formula for a rectangular prism is length times width times height. Those three measurements are the same for a cube.

So, since the volume is 27 cm cubed, we can say that the side length of the cube is the cube root of 27 cm cubed, or 3 cm.

There are 6 sides on a cube, and every cube has the same area. Since the side length of the cube is 3 cm, the area of one side of the cube is 3 * 3 = 9 cm squared. 9 * 6 = 54 cm squared.

Hope this helps!

what other numbers can you square that result in 9 ?

Answers

Step-by-step explanation:

I'm not sure what your answers are, but you can only square 3 and -3 to get 9.

Answer:

3, -3

Step-by-step explanation:

3*3 = 9

-3 * -3 = 9

These are the only two numbers that square to 9

An accountant receives a salary of $262,000 per year. During the year, he plans to spend $99,000 on his mortgage, $54,000 on food, $32,000 on clothing, $41,000 on household expenses, and $28,000 on other expenses. With the money that is left, he expects to buy as many shares of stock at $250 per share as possible. Using the equation below, determine how many shares will he be able to buy? What was the sum of the accountant's expenses?

Answers

Answer:

Number of shares = 32 shares

Accountant total expenses= $254000

Step by step explanation:

The accountant salary is $262000

He spends $99000 on mortage

Spends $54000 on foods

Spends $32000 on clothing

Spends $41000 on household

Spends $28000 on others

Total expenses= 99000+54000+32000+41000+28000

Total expenses =$254000

Remaining money = 262000-254000

Remaining money= $8000

If shares = $250 for one

To know the amount he buys with the remaining money

We divide remaining money by shares cost

= $8000/$250

= 32 shares

Line segment TS is tangent to circle O at point N.

Circle O is shown. Line segment Q N goes from one side of the circle to the other side. Tangent T S intersects the circle at point N. Point P is on the circle between points Q and N. Point R is on the circle between points Q and N. Angle Q N T is 74 degrees.

If the measure of Angle Q N T is 74°, what is the measure of Arc Q P N?

37°
74°
148°
212°\

Answers

Answer:

  148°

Step-by-step explanation:

The measure of the intercepted arc QN is twice the measure of inscribed angle QNT.

  arc QN = 2(74°) = 148°

_____

Comment on the question and answer

Your description "on the circle between points Q and N" is ambiguous. You used the same description for both points P and R. The interpretation we used is shown in the attachment. If point P is on the long arc NQ, then the measure of arc QPN will be the difference between 148° and 360°, hence 212°. You need to choose the answer that matches the diagram you have.

__

We call angle QNT an "inscribed angle" because it is a degenerate case of an inscribed angle. The usual case has the vertex of the angle separate from the ends of the arc it intercepts. In the case of a tangent meeting a chord, the vertex is coincident with one of the ends of the intercepted arc. The relation between angle measure and arc measure remains the same: 1 : 2.

Answer:

148

Step-by-step explanation:

Edge 2020

How can I factor these complex conjuages? a^2 + b^2 and a^2 - b

Answers

Answer:

1) [tex](a+ib)(a-ib)[/tex]

2) [tex]a^2+i^2b[/tex]

Step-by-step explanation:

1) [tex]a^2+b^2[/tex]

=> [tex]a^2 - (-1)b^2[/tex]      (We know that -1 = [tex]i^2[/tex] )

=> [tex]a^2-i^2b^2[/tex]

=> [tex](a)^2-(ib)^2[/tex]

Using Formula [tex]a^2 -b^2 = (a+b)(a-b)[/tex]

=> [tex](a+ib)(a-ib)[/tex]

2) [tex]a^2-b[/tex]

=> [tex]a^2+(-1)b[/tex]      (We know that -1 = [tex]i^2[/tex] )

=> [tex]a^2+i^2b[/tex]  (It cannot be simplified further)

Answer:

[tex]\boxed{(a+ib)(a-ib)}[/tex]

[tex]\boxed{a^2+i^2b}[/tex]

Step-by-step explanation:

[tex]a^2 + b^2[/tex]

Rewrite expression.

[tex]a^2- (-1)b^2[/tex]

Use identity :  [tex]-1=i^2[/tex]

[tex]a^2- i^2 b^2[/tex]

Factor out square.

[tex]a^2-(ib)^2[/tex]

Apply difference of two squares formula : [tex]a^2-b^2 =(a+b)(a-b)[/tex]

[tex](a+ib)(a-ib)[/tex]

[tex]a^2-b[/tex]

Rewrite expression.

[tex]a^2+(-1)b[/tex]

Use identity :  [tex]-1=i^2[/tex]

[tex]a^2+i^2b[/tex]

6th grade math , help me please :)

Answers

Answer:

a= 7/20

b=35

Step-by-step explanation:

A was simple because 7 people with blue eyes for every 20 people written in fraction form. For b they say what if it was 100 total people so 20 x 5 = 100 so 7 x 5= 35 so your answer to b is 35

pleassssssssssssssssssssssssseeeeeeeeeeeeeeeeeeeeeeee helpppppppppppppp meeeeeeeee i giveeeee you bralienstttttt

Answers

Answer:

487 divide by 14

Step-by-step explanation:

have a nice day

BRAINLIEST ANSWER GIVEN Without actually solving the​ problem, choose the correct solution by deciding which choice satisfies the given conditions. The length of a rectangle is 2 feet longer than the width. The perimeter is 20 feet. Find the dimensions of the rectangle. Length= ?; width=?

Answers

Answer:

length = 6 feetwidth = 4 feet

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where l is the length

w is the width

The length of the rectangle is 2 feet longer than the width is written as

l = 2 + w

Perimeter = 20feet

So we have

20 = 2( 2 + w ) + 2w

20 = 4 + 2w + 2w

4w = 16

Divide both sides by 4

w = 4

Substitute w = 4 into l = 2 + w

That's

l = 2 + 4

l = 6

length = 6 feetwidth = 4 feet

Hope this helps you

Answer:

w = 4 and L = 10

Step-by-step explanation:

perimeter of a rectangle = 2(l+w)

p = 20

L = 2 + w

w = ?

20 = 2(2 + w + w)

20 = 2(2 + 2w)

20/2 = 2 + 2w

10 = 2 + 2w

10 - 2 = 2w

8 = 2w

w = 8/2 = 4

L = w + 2

L = 4 +2 = 6

w = 4 and L = 10

A lottery ticket has a grand prize of $31 million. The probability of winning the grand prize is .000000018. Determine the expected value of the lottery ticket.

Answers

Answer:

$0.558

Step-by-step explanation:

The expected value is the sum of the value of each outcome times the chance that it happens. In this case, there are two outcomes:

Win $31 millionWin $0

Then our expected value can be calculated as:

[tex]EV=(31,000,000)(0.000000018)+(0)(1-0.000000018)=0.558[/tex]

Use a graphing calculator to sketch the graph of the quadratic equation and then give the coordinates for the x-intercepts (if they exist) y=x2+7x+10 A (-2,0),(5,0) B (2,0);(-5,0) C (2,0);(5,0) D (-2,0);(-5,0)

Answers

Answer:

Option D.

Step-by-step explanation:

The given quadratic equation is

[tex]y=x^2+7x+10[/tex]

We need to draw the graph of given equation by using graphing calculator as shown below.

From the graph it is clear that the parabola intersect the x-axis at points (-2,0) and (-5,0). So, the x-intercepts are (-2,0) and (-5,0).

Therefore, the correct option is D.

The Orchard Cafe has found that about 15% of the diners who make reservations don't show up. If 77 reservations have been made, how many diners can be expected to show up? Find the standard deviation of this distribution

Answers

Answer:

65 dinners are expected to show up

The standard deviation of the distribution is 3.13

Step-by-step explanation:

Given

Proportion = 15%

Population = 77

Required

Expected Number that'll show up

Standard Deviation

If 15% won't show up; then

100% - 15% = 85% will show up

Expected Number, E(x) of Dinner is calculated as thus;

[tex]E(x) = np[/tex]

Where [tex]p = 85\%[/tex] (calculated above)

and [tex]n = 77[/tex]

Convert p to decimal

[tex]p = 0.85[/tex]

So;

[tex]E(x) = 0.85 * 77[/tex]

[tex]E(x) = 65.45[/tex]

[tex]E(x) = 65[/tex]

65 dinners are expected to show up

Calculating Standard Deviation, SD

Standard Deviation is calculated as;

[tex]SD = \sqrt{np(1-p)}[/tex]

Substitute 0.85 for p and 77 for n

[tex]SD = \sqrt{77 * 0.85 * (1-0.85)}[/tex]

[tex]SD = \sqrt{77 * 0.85 * 0.15}[/tex]

[tex]SD = \sqrt{9.8175}[/tex]

[tex]SD = 3.13328900678[/tex]

[tex]SD = 3.13[/tex] (Approximated)

The standard deviation of the distribution is 3.13

What is the answer for x? (3x-3)° [6(x-10)]

Answers

Answer:

x = 19

Step-by-step explanation:

The angles are vertical angles which means they are equal

3x-3 = 6(x-10)

Distribute

3x-3 = 6x-60

Subtract 3x from each side

3x-3 -3x = 6x-60-3x

-3 =3x-60

Add 60 to each side

-3+60 =3x-60+60

57 = 3x

Divide by 3

57/3 = 3x/3

19 =x

Victor is in the 28% tax bracket.
a. How much will a $900 tax credit save him?
b. how much will a $900 charitable contribution save him if he itemized his deductions?​

Answers

Incomplete question. I've made some assumptions to provide clarity.

Answer:

a. $45,743.07

b. $44,843.07

Step-by-step explanation:

Let's assume Victor is a single filer with an income of $100,000.

Using the 2017 tax bracket rates for single filers, Victor would be expected to pay:

- 10 percent on the first $9,325 = 10% x 9525 =$932.5

- plus 15 percent of the amount between $9,326 and $37,950 (37950-9326) x 15% = $4293.6

- plus 25 percent of the amount between $37,951 and $91,900 (91900-37,951 ) x25% = $13487.25

- plus 28 percent of the amount over $91,901-$191,650 (191650-91901) x 28% = 27929.72

Total=  $46,643.07

Minus $900 tax credit= $46,643.07-$900= $45,743.07

Minus $900 charitable contribution = $45,743.07-$900= $44,843.07

Winston and Alice are taking a trip. Winston left at 8 am and traveled an average of 50 miles per hour. Alice left at 10 am and traveled an average of 70 miles per hour. At what time are they at the same place at the same time? Write a system of equation to represent this situation. Then use the substitution method with that system to determine at the time they will be in the same location. How many miles away from home will they be at that time?

Answers

Answer:

3 PM

350 miles

Step-by-step explanation:

Let's say t is the number of hours since 8 AM.

The distance traveled by Winston is:

w = 50t

The distance traveled by Alice is:

a = 70(t−2)

When w = a:

50t = 70(t−2)

50t = 70t − 140

140 = 20t

t = 7

Winston and Alice will be at the same place 7 hours after 8 AM, or 3 PM.

The distance they travel is 350 miles.

Jeremy's father drives him to school in rush hour traffic in 20 minutes. One day there is no traffic, so his father can drive him 18 miles per hour faster and gets him to school in 12 minutes. How far (in miles) is it from Jeremy's home to school?

Answers

Answer:

9 miles

Step-by-step explanation:

Let's say that the speed that Jeremy's father drives Jeremy through traffic is x. When there is no traffic, Jeremy's father drives 18 miles per hour faster than his speed in traffic, x. This would make the speed that Jeremy's father drives Jeremy to school without traffic, 18 / 60 + x. This is as it is 18 miles per hour faster, not 18 miles per minute faster.

Now recall the formula Speed = Distance / Time, or S = D / T. We want the distance here ( How far (in miles) from Jeremy's home to school ) so let's isolate D here in this formula,

S = D / T ⇒ D = S [tex]*[/tex] T - and as you know, the distance from Jeremy's home to school is the same, with or without traffic. So, we can consider case 1 : Jeremy's " distance traveled " in traffic, and case 2 : Jeremy's " distance traveled " without traffic, and make them equal to one another.

20 [tex]*[/tex] x = 12 [tex]*[/tex] ( 18 / 60 + x ),

20x = 3.6 + 12x,

8x = 3.6,

x = 0.45 - Now the distance is 20 [tex]*[/tex] x, and hence 20 [tex]*[/tex] 0.45 = 9 miles

Olivia, a golfer, claims that her drive distance is more than 174 meters, on average. Several of her friends do not believe her, so she decides to do a hypothesis test, at a 10% significance level, to persuade them. She hits 15 drives. The mean distance of the sample drives is 188 meters. Olivia knows from experience that the standard deviation for her drive distance is 14 meters. H0: μ=174; Ha: μ>174 α=0.1 (significance level) What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?

Answers

Answer:

3.87

Step-by-step explanation:

The computation is shown below:

Data provided in the question

mean distance = [tex]\bar x[/tex] = 188 meters

Standard deviaton = [tex]\sigma = 14[/tex]

Hits drivers = 15

The distance = 174 meters

H_0: μ≤174;

H_a: μ>174

Based  on the above information, the test statistic z-score is

[tex]z = \frac{\bar x - \mu }{\sigma / \sqrt{n} } \\\\ = \frac{188 - 174}{\ 14 / \sqrt{15} }[/tex]

= 3.87

Hence, the test statistic is 3.87

Note:

We take the μ≤174 instead of μ=174;

You are given the following information obtained from a random sample of 5 observations. 20 18 17 22 18 At 90% confidence, you want to determine whether or not the mean of the population from which this sample was taken is significantly less than 21. (Assume the population is normally distributed.) a) State the null and the alternative hypotheses. b) Compute the standard error of the mean. c) Determine the test statistic. d) Test to determine whether or not the mean of the population is significantly less than 21.

Answers

Answer:

a

  The null hypothesis is  

         [tex]H_o : \mu = 21[/tex]

The Alternative  hypothesis is  

           [tex]H_a : \mu< 21[/tex]

b

     [tex]\sigma_{\= x} = 0.8944[/tex]

c

   [tex]t = -2.236[/tex]

d

  Yes the  mean population is  significantly less than 21.

Step-by-step explanation:

From the question we are given

           a set of  data  

                               20  18  17  22  18

       The confidence level is 90%

       The  sample  size  is  n =  5  

Generally the mean of the sample  is  mathematically evaluated as

        [tex]\= x = \frac{20 + 18 + 17 + 22 + 18}{5}[/tex]

       [tex]\= x = 19[/tex]

The standard deviation is evaluated as

        [tex]\sigma = \sqrt{ \frac{\sum (x_i - \= x)^2}{n} }[/tex]

         [tex]\sigma = \sqrt{ \frac{ ( 20- 19 )^2 + ( 18- 19 )^2 +( 17- 19 )^2 +( 22- 19 )^2 +( 18- 19 )^2 }{5} }[/tex]

         [tex]\sigma = 2[/tex]

Now the confidence level is given as  90 %  hence the level of significance can be evaluated as

         [tex]\alpha = 100 - 90[/tex]

        [tex]\alpha = 10[/tex]%

         [tex]\alpha =0.10[/tex]

Now the null hypothesis is  

         [tex]H_o : \mu = 21[/tex]

the Alternative  hypothesis is  

           [tex]H_a : \mu< 21[/tex]

The  standard error of mean is mathematically evaluated as

         [tex]\sigma_{\= x} = \frac{\sigma}{ \sqrt{n} }[/tex]

substituting values

         [tex]\sigma_{\= x} = \frac{2}{ \sqrt{5 } }[/tex]

        [tex]\sigma_{\= x} = 0.8944[/tex]

The test statistic is  evaluated as  

              [tex]t = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]

substituting values

              [tex]t = \frac{ 19 - 21 }{ 0.8944 }[/tex]

              [tex]t = -2.236[/tex]

The  critical value of the level of significance is  obtained from the critical value table for z values as  

                   [tex]z_{0.10} = 1.28[/tex]

Looking at the obtained value we see that [tex]z_{0.10}[/tex] is greater than the test statistics value so the null hypothesis is rejected

Hey, the question is with the image. Pls help

Answers

Answer:

8

Step-by-step explanation:

(25 points) PLEASE HELP, I gotta get this done or my mom will beat the hell out of me

Solve

x + y = 2

4y = -4x + 8

by elimination (not Gaussian!)

Thanks!
(also, please show work!)

Answers

Answer:

x=1

y=1

Step-by-step explanation:

Please look at the image below for solutions⬇️

Answer:

Step-by-step explanation:

Add the equations in order to solve for the first variable . Plug this value into the equations in order to solve for the remaining variables.

Point form

(x, 2-x)

Is this equation linear or nonlinear?
y =x/2​

Answers

Answer:

linear

Step-by-step explanation:

If the triangle on the grid below is translated by using the rule (x, y) right-arrow (x + 5, y minus 2), what will be the coordinates of B prime?

Answers

Answer:

[tex]B'(x,y) = (0,-2)[/tex]

Step-by-step explanation:

Given

The attached grid

Translation rule: [tex](x,y) = (x + 5, y - 2)[/tex]

Required

Determine the coordinates of B'

First, we have to write out the coordinates of B

[tex]B(x,y) = (-5,0)[/tex]

Next is to apply the translation rule [tex](x,y) = (x + 5, y - 2)[/tex]

[tex]B(x,y) = (-5,0)[/tex] becomes

[tex]B'(x,y) = B(x+5,y-2)[/tex]

Substitute -5 for x and 0 for y

[tex]B'(x,y) = (-5+5,0-2)[/tex]

[tex]B'(x,y) = (0,-2)[/tex]

Other Questions
A sodium atom that has lost an electron comes near a chlorine atom that has gained an electron. What happens?A. They form a peptide compound.B. They form a covalent bond.C. They form a hydrogen bond.D. They form an ionic bond. Where is this conversation most likely taking place ? En la escuela en la restaurante en la casa en la parque What evidence supports the conclusion that "The Storyteller uses satire to impart the theme that adults should respect childrens intelligence? Select two options. Come and look out of the window, she added. The child moved reluctantly to the window. Why are those sheep being driven out of that field? he asked. Oh, look at those cows! exclaimed the aunt. Nearly every field along the line had contained cows or bullocks, but she spoke as though she were drawing attention to a rarity. The smaller girl made no actual comment on the story, but she had long ago recommenced a murmured repetition of her favourite line. The storyteller paused to let a full idea of the parks treasures sink into the childrens imaginations; then he resumed. The story began badly, said the smaller of the small girls, but it had a beautiful ending. It is the most beautiful story that I ever heard, said the bigger of the small girls, with immense decision. It is the only beautiful story I have ever heard, said Cyril. Northern Communications has the following stockholders' equity on December 31, 2018:Stockholders' EquityPaid-In Capital:Preferred Stock5%, $11 Par Value; 150,000 shares authorized, 20,000 shares issued and outstanding $220,000Common Stock$2 Par Value; 575,000 shares authorized, 380,000 shares issued and outstanding 760,000Paid-In Capital in Excess of ParCommon 680,000Total Paid-In Capital 1,660,000Retained Earnings 200,000Total Stockholders' Equit $1,860,000Requirement 1. Assuming the preferred stock is cumulative, compute the amount of dividends to preferred stockholders and to common stockholders for 2018 and 2019 if total dividends are $9,000 in 2018 and $45,000 in 2019. Assume no changes in preferred stock and common stock in 2019.2. Record journal entries for 2018 assuming Northern communication declared dividend on Dec 31. ex (sec x + tanx) dx = ? a) esecx b) esecx c) etanx d) etanx John needs to find out the probability that he will sell all his cars by the end of theyear. He takes a sample of the customers that come in to see if they will buy a car.How many customers should he sample to get an accurate probability?a) 3 customersb) 10 customersc) 100 customersd) 1000 customers Evaluate the following integrals The mood-setting designations on a score normally follow the _____ marking(s). -technique -articulation -dynamic -tempo Identify the Lewis acid and Lewis base from among the reactants in each of the following equations. Match the words in the left column to the appropriate blanks in the sentences on the right.1. Fe3+ (aq)+6CN (aq) Fe(CN) (aq)______is the Lewis acid and_____is the Lewis base. is the Lewis 2. CI- (aq) + AlCl3 (aq) AlCl4-____is the Lewis acid and______is the Lewis base.3. AlBr3 + NH3 H3NAlBr3______is the Lewis acid and______is the Lewis base.A. AlCl3B. CN-C. AlBr3D. Cl- E. NH3F. Fe3+ Mountain High Ice Cream Company transferred $65,000 of accounts receivable to the Prudential Bank. The transfer was made with recourse. Prudential remits 90% of the factored amount to Mountain High and retains 10% to cover sales returns and allowances. When the bank collects the receivables, it will remit to Mountain High the retained amount (which Mountain estimates has a fair value of $5,500). Mountain High anticipates a $3,500 recourse obligation. The bank charges a 3% fee (3% of $65,000), and requires that amount to be paid at the start of the factoring arrangement.Required: Prepare the journal entry to record the transfer on the books of Mountain High assuming that the sale criteria are met. Which of these would be considered a transgenic organism? a human treated with insulin produced by E. coli bacteria a rat with rabbit hemoglobin genes a bacterium that has been treated with a compound that affects the expression of many of its genes a fern grown in cell culture from a single fern root cell a houseplant propagated from the cuttings of another houseplant help!! I have problem to solve this question A college student team won 20% of the games it played this year. If the team won 11 games, how many games did it play? Please answer this in two minutes what did william henry seward want to do? - A P E X 2020 Some of the ways Enlightenment writers were negatively treated includedbeing sold as slaves and sent to another countryhiding in other countriesbanishment or executionsbook burnings and writers put in prison fill in the blanks. I will give brainleist Spanish clergy accompanied the conquistadors when they took over central Mexico from the indigenous rulers in the sixteenth century. Coming upon the Temple of the Feathered Serpent, most of the priests regarded it as the merest pagan idolatry: primitive, polytheistic, and menacing in appearance. How might you go about refuting such claims today Janetta ran a campaign for student body president, and she really wanted to win. She gave election buttons to everyone and told them how much she appreciated their friendship. Then Janetta told each person that she hoped for a vote. Are Janetta's actions altruistic 4(x 7) = 0.3(x + 2) + 2.11