HELP ME THE ANSWER IS NOT 36 OR 12 DO THE RSM ANSWER!!! Three generous friends, each with some cash, redistribute their money as follows: Ami gives enough money to Jan and Toy to double the amount that each has. Jan then gives enough to Ami and Toy to double their amounts. Finally, Toy gives Ami and Jan enough to double their amounts. If Toy has $36 when they begin and $36 when they end, what is the total amount that all three friends have?

Answers

Answer 1

Answer:

$252

Step-by-step explanation:

Let the initial amount of money Ami, Jan and Toy have initially be A, J and T respectively.

Please see attached picture for full solution.

HELP ME THE ANSWER IS NOT 36 OR 12 DO THE RSM ANSWER!!! Three Generous Friends, Each With Some Cash,
HELP ME THE ANSWER IS NOT 36 OR 12 DO THE RSM ANSWER!!! Three Generous Friends, Each With Some Cash,
Answer 2

Answer:

$252

Step-by-step explanation:

Step 1

Toy has $36 and gets $36 from Ami. Now he has $36*2= $72

Step 2

Toy gets $72 from Jan to double his money and now has $72*2= $144

Step 3

Toy gives enough money to Ami and Jan to double their money

Toy has $36 at the end, so he has given $144 - $36= $108 to Ami and Jan

Since he doubles their money by giving $108, they now have

$108*2= $216

Now we add the amount Toy has at the end to the amount Ami and Jan have at the end to get final amount:

$216+$36= $252So the friends have $252

Related Questions

Answer it pls and no memes

Answers

Answer:

There's two of them, of which are the 3rd and 5th option

Step-by-step explanation:

The formula for calculating a prism is length times width, times the height because it is a 3d object. Length times width is the same as B(base), so those two are the exact same. Don't let that fool you.

Here's a little abstract context:

You've got one loaf of bread right? Well, pretend it's 3 inches by 4 inches. You have one slice, one layer, with 12 inches squared as its area. To make it a loaf, you stack the layers up by multiplying that slice of bread by the value of h.

Question: John and Harry went to a stationery shop. John bought 3 pens and 8 notebooks for $20.50. Harry bought 4 pens and 5 notebooks for $16.00. Identify the cost of a pen and the cost of a notebook. (pen: $1.00 notebook: $2.50) (pen: $2.00 notebook: $1.50) (pen: $1.50 notebook: $2.00) (pen: $2.00 notebook: $3.00)

Answers

Answer:

pen: $1.50 notebook: $2.00

Step-by-step explanation:

4×1.50 =6

5×2 = 10

6+10= 16

3×1.50= 4.50

8×2= 16

4.50 + 16 = 20.50

What is the length of AB?

A. 18
B. 48
C. 6
D. 9

Answers

Answer:

D

Step-by-step explanation:

Since AC is 18

Midpoint is B

Therefore AB is 18÷2=9.

Hope this helps.

The length of AB shown in the circle is 9.

Hence option D is correct.

In the given circle

The Centre of the circle is o

Length of chord  AC = 18

Since we know that,

The line segment connecting any two locations on a circle's circumference is known as the chord of the circle. It should be emphasized that the diameter is the circle's longest chord, which runs through its centre.

And we can see that,

B is the midpoint of the chord AC of the circle

Therefore The length of AB is just half of chord AC

Therefore,

AB = AC/2

And it is given that AC = 18

Therefore,

AB = 18/2

Hence,

AB = 9

To learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ2

solve by elimination x-5y=35 and 3x-6y=51

Answers

Answer: x=5 y=-6

(5,-6)

Step-by-step explanation:

Solve by elimination

[tex]\begin{bmatrix}x-5y=35\\ 3x-6y=51\end{bmatrix}[/tex]

multiply x-5y=35 by 3

= 3x-15y=105

[tex]\begin{bmatrix}3x-15y=105\\ 3x-6y=51\end{bmatrix}[/tex]

[tex]3x-6y=51[/tex]

-[tex]\underline{3x-15y=105}[/tex]

[tex]9y=-54[/tex]

divide 9 on both sides

y= -6

Now solve for x

you must plug in -6 for y in either equations

i plugged in -6 for y in 3x-15y=105

[tex]3x-15\left(-6\right)=105[/tex]

[tex]3x+15\cdot \:6=105[/tex]

[tex]15\cdot \:6=90[/tex]

[tex]3x+90=105[/tex]

subtract 90 on both sides

[tex]3x=15[/tex]

[tex]\frac{3x}{3}=\frac{15}{3}[/tex]

[tex]x=5[/tex]

Please mark brainliest

Answer:

x=5

y= -6

Step-by-step explanation:

equ= equation

x - 5y= 35 ----- equ (1)

3x - 6y= 51 ----- equ (2)

Multiply equ (1) by 3

3x - 15y= 105 ----- equ(3)

3x - 6y= 51 ----- equ(4)

Subtract equ(4) from equ(3)

-9y= 54

y= -6

Substitute value of y into equ(1)

x - 5 x -6= 35 (the second x here means multiplication)

x + 30= 35

x= 5

The countries population in 1991 was 231 million . In 1999 it’s was 233 million. estimate the population in 2003 used The exponential growth formula. Round your answer to the nearest million

Answers

Answer:

The population in 2003 was 234  million

Step-by-step explanation:

In order to calculate the population in 2003 we would have to use the The exponential growth formula as follows:

p(y)=ir^t

According to the given data:

p(y)=233 million

i=231 million

t =1999-1991

Therefore, 233 million=231 million r^(1999-1991)

(233 million/231 million)^(1/8)=r

p(y)=231 million(233 million/231 million)^((y-1991)/8)  

Therefore, in 2003   p(2003)=231 million(233 million/231 million)^((2003-1991)/8)

p(2003)=231 million(233 million/231 million)^(1.5)

p(2003)=234  million

The population in 2003 was 234  million

please solve question 1 for me

Answers

Answer:

This is WAYYYYYYYYYYY too hard. You should ask ur teacher or friends. And parents.

Help me please, someone​

Answers

Answer:

[tex]351.8mi^2[/tex]

Step-by-step explanation:

Hey there!

Well the formula to find the surface area of a cylinder is,

[tex]2\pi rh+2\pi r^2[/tex],

So with the h and r being 10 and 4 lets plug it in.

[tex]2\pi (4)(10)+2\pi (4)^2[/tex]

Let's solve!

2π40 + 2π16

80π + 32π

251.3 + 100.5

= [tex]351.8mi^2[/tex]

Hope this helps :)

Answer:

351.9 mi^2

Step-by-step explanation:

The surface area of a cylinder can be found using the following formula.

[tex]SA=2\pi r^2+2\pi rh[/tex]

We know that the height of the cylinder is 10 miles and the radius is 4 miles.

h= 10 mi

r= 4 mi

[tex]SA=2\pi (4 mi)^2+2\pi (4 mi)(10 mi)[/tex]

First, evaluate the exponent 4 mi^2.

4 mi^2= 4 mi * 4 mi = 16 mi^2

[tex]SA=2\pi 16 mi^2+2\pi (4 mi)(10 mi)[/tex]

Next, multiply 16 and 2pi

[tex]SA=100.530965 mi^2+2\pi(4 mi)(10mi)[/tex]

Next, multiply 4 and 10

[tex]SA=100.530965 mi^2+2\pi40mi^2[/tex]

Multiply 40 and 2 pi

[tex]SA=100.530965 mi^2+251.327412mi^2[/tex]

Add the 2 numbers together

[tex]SA=351.858377 mi^2[/tex]

Round to the nearest tenth. The 5 in the hundredth place tells us to round the 8 to a 9 in the tenth place.

[tex]SA=351.9 mi^2[/tex]

The surface area of the cylinder is about 351.9 square miles.

To make a specific hair dye, a hair stylist uses a ratio of 118 oz of red tone, 34 oz of gray tone, and 58 oz of brown tone. If the stylist needs to make 20 oz of dye, how much of each dye color is needed?

Answers

Answer:

11.8 red

3.4 gray

5.8 brown

Step-by-step explanation:

118+34+58=200

If they only need 20, just move the decimal place by one.

11.8 red

3.4 gray

5.8 brown

Please help me... I will mark brainliest if you do ;)
An explanation would be appreciated as well!

Answers

Answer:

86

Step-by-step explanation:

The sum of the angles in a quadrilateral is 360 degrees

since EF is parallel to HG

m < E + m< H =180

y + 10 + 2y -31 =180

-21+ 3y= 180

3y = 180 + 21

3y = 201

y=67

m <E = 67 + 10 =77

m < F = 2*67 -40= 134 -40=94

m < H = 2*67-31 = 134 -31 = 103

m < G = 360 - (m<E+ m < F + m < H)

= 360 - ( 77+94+103)

= 360- 274

=86

Does anyone know this need help please!!!!!!! Hurry thanks

Answers

Answer:

Add the two equations: 5y=5 so y=1, therefore x=3-2y=1.

What did you mean by Dx? If it's the determinant for x then it's:

| 3 2 |

| 2 3 | = 9-4=5

Dy is:

| 1 3 |

| -1 2 | = 2-(-3)=5

And D is:

| 1 2 |

| -1 3 | = 3-(-2)=5

x=Dx/D=5/5=1 and y=Dy/D=5/5=1

HOPE THIS HELPS AND PLS MARK AS BRAINLIEST

THNXX :)

Yea bro bro it’s 1 ^_^

1. George want to score at least a 90% on his math tests this quarter. So far his test scores are 88, 97 and
80. What does George need to score on his last test to average at least 90%?
Define variable:
Equation:
Solution:

check my work please! it’s number 1 :)

Answers

Answer:

Yes you are correct.

Step-by-step explanation:

The best way to check theese types of questions is go back in plug in X with your answer so 88+97+80+90(which is x)=360 then divide by 4 and get 90! So yes you are correct good job!

PLEASE HELP. FIRST CORRECT ANSWER WILL GET BRAINLIEST AND 20 POINTS PLEASE HELP! I AM DESPERATE, AND NEED TO FINISH IN 30 MINUTES Write each of the following expressions without using absolute value. |z−6|−|z−5|, if z<5

Answers

Answer: 1

Step-by-step explanation: first you need to pretend that the absolute value bars are parentheses. Then substitute a with any number less that five, for example z=3

Now we can write our new equation: (3-6)-(3-5) now we have to determine if the final answer inside the parentheses is positive or negative. In the first parentheses 3-6=-3 with is negative. In our second parentheses we have 3-5=-2 which is a also negative.

Knowing that both parentheses are negative results we can set up an equation using z instead of 3:

-(z-6)-(-(z-5)) is our new equation. If we simplify this equation we get 1 for an answer

Answer:

1

Step-by-step explanation:

If z < 5, then both |z-6| and |z-5| gets negative value, so:

|z-6 | -  |z-5| = -(z-6) - (- (z-5) ) = - z+ 6 + z -5 = 1

Answer is: 1

helppp plz help need help

Answers

Answer:

D. highly unlikely

Step-by-step explanation:

There are 20 total outcomes.

The number 1 is only 1 outcome out of 20 outcomes.

The probability of it landing on 1 is 1/20.

0 - impossible

0.1 - highly unlikely

0.25 - unlikely

0.5 - even

0.75 -  likely

0.9 - highly likely

1 - certain

1/20 = 0.05

0.05 is highly unlikely.

Answer:

highly unlikely

Step-by-step explanation:

There is 1 number 1

P( 1) = 1/20

This is highly unlikely

I need a quick response! Please help!

A park ranger sees a fire from an observation deck 120 feet high. The fire is at an angle of
depression 2.5 degrees. How far is the fire from base of the observation deck ?

Answers

Answer: 2748.5 feet

Step-by-step explanation:

Given that the

Height h = 120 feet.

angle of depression = 2.5 degrees

The angle of depression is equal to the angle of elevation.

The base of the observation deck will be achieved by using trigonometry ratio.

Tan Ø = opposite/ adjacent

Opposite = height = 120 feet

Adjacent = base = ?

Substitutes the given parameters into the trigonometry ratio.

Tan 2.5 = 120 / adjacent

Adjacent = 120 / tan 2.5

Adjacent = 2748.452

Therefore, the base of the observation deck is 2748.5 feet

Question 7
Factor x^2-7x-18

Answers

Answer:

(x-9)(x+2)

Step-by-step explanation:

x^2-7x-18

Factor

What two numbers multiply to -18 and add to -7

-9*2 = -18

-9+2 = -7

(x-9)(x+2)

the answer would be(x-9) (x+2)

50pts + brainliest pls helllppppppppppppppppppppp
find the equation of straight line passing through (1,-1) and (3,-5) pls help im in online class and i have to answer pls helllllllllllppppppppppppppp

Answers

Answer:

Equation y = -2x -3

Step-by-step explanation:

(1,-1) (3,-5)

Slope = -5-(-1) / 3-1 = -5+1/2 = -4/2 = -2

y = mx + K

-1 = -2(1) + k

-1 = -2 + k

k = 1

Equation y = -2x+1

Answer:

Step-by-step explanation:

slope=(y2-y1)/(x2-x1)=(-5-(-1))/(3-1)=(-5+1)/2=-4/2=-2

y-y1=m(x-x1)

y-(-1)=-2(x-1)

y+1=-2(x-1)

y+1=-2x+2

y=-2x+2-1

y=-2x+1

You are going to a movie, and your friend says it is showing some time on the weekend between noon and 8, but won't say when, exactly.What are the chances itis playing on Sunday between 6 and 8?

Answers

Answer:

The chances are 1/6 because 6-8 is 1/6 of the possible timings.

:)

Answer:

7/8

Step-by-step explanation:

Because it is 8 hours combined (noon to 8) 8 will be the denominator and since it is 3 hours (6 to 8) 3 is the numerator. Keep that aside.

Since there are 2 days in a weekend 2 will be the denominator and since it is on Sunday 1 will be the numerator.

So 3/8 + 1/2 = 7/8

is 5 rational or irrational

Answers

Answer:Rational

Step-by-step explanation:

Every integer is a rational number, since each integer n can be written in the form n/1.

Answer:

Rational

................

sex(-x)-sin(-x)tan(-x)=cosx Note that each Statement must be based on a Rule chosen from the Rule menu. To see a detailed description of a Rule, select the More Information Button to the right of the Rule.

Answers

Answer:

Step-by-step explanation:

sec (-x)-sin (-x) tan (-x)=cos x

sec(x)-(-sin x)(-tan x)=cos x

1/cos x-sin x(sin x/cos x)=cos x

multiply by cos x

1-sin ²x=cos²x

or 1=sin²x+cos²x

which is true.

Isabella uses one-foot cubical blocks to build a rectangular fort that is 12 feet long, 10 feet wide, and 5 feet high. The floor and the four walls are all one foot thick. How many blocks does the fort contain?

Answers

Answer:

600 blocks

Step-by-step explanation:

Well this question is asking us to find the volume of the rectangular prism.

Dimensions)

L: 12

W: 10

H:5

The formula for the volume of a rectangular prism is l*w*h or B*h.

So 12*10 = 120

120 * 5 = 600 blocks

Thus,

the fort contains 600 blocks.

Hope this helps :)

Answer:

[tex]\boxed{280\ blocks}[/tex]

Step-by-step explanation:

The blocks at the base are:

Length * Width = 10 * 12 = 120 blocks

On the 2nd Layer:

=> 9+11+9+11 = 40 blocks

There are 3 more layers as the 2nd layer:

So, the blocks of these 4 layers are => 4 * 40 = 160 blocks

Total Blocks = Base Blocks + Layer Blocks

=> 120 + 160

=> 280 blocks

Help with the question attached, thank you!!

Answers

Answer:

the third one

Step-by-step explanation:

try to factor them and if it cannot be factored then it is prime

the only one that cannot be factered is the one you have highlighted so that is correct.

State the domain of the glven relation.

Answers

Answer:

x ≤ -1

Step-by-step explanation:

The domain is the x-values.  Since the graph shows all numbers up to -1, the domain would be all numbers less than or equal to -1:

x ≤ -1

I think the answer is x< 1

Does anyone know this! Thanks

Answers

Answer:

C = 7pi yds

If we approximate pi by 3.14

C =21.98 yds

If we approximate pi by the pi button

C =21.99114858 yds

Step-by-step explanation:

The circumference is given by

C = 2*pi*r

C = 2 * pi * 3.5

C = 7pi yds

If we approximate pi by 3.14

C =21.98 yds

If we approximate pi by the pi button

C =21.99114858 yds

The number of pizzas sold in one weekend at Pete's Pizzas is shown. Pie chart of pizza sales. Data includes 130 hamburger, 175 pepperoni, 60 cheese, and 35 veggies.

a) If Pete's sales remain consistent, how many pepperoni pizzas will he have sold when the total number of pizzas sold reaches 1600?

b) How would the circle graph be different if Pete had sold 200 pepperoni pizzas, 100 hamburger pizzas, 50 veggie pizzas, and 50 cheese pizzas?

Answers

Answer:

a) 560

b) The Hamburger section will become smaller, the pepperoni will get bigger, the veggie pizza area would increase and the cheese section will decrease.

Step-by-step explanation:

a) 400 pizzas were originally sold (add all pizzas)

1600/400=4

Therefore, 175 (pepperoni pizzas) *4 = 560.

b) Find the difference between the original amount compared to the new amounts to determine what will happen to the size of each sector.    

Hope that helped!!! k

I got 560 .. I’m not sure if it’s right

Pleaseeeee hurryy need help!!

Answers

it is the last one

Step-by-step explanation:

by simplifying powers it becomes

8g^8/64h ^5

simplifying it further gives

g^8/ 8h^5

i think its the last one

84"
7'
A
B
Given the conversion factor 12 in, which line segment is longer?
O A. Line segment A
O B. Line segment B
O C. They are the same size.

Answers

The answer is C. They are the same size. 84 inches= 7 ft.

Which of the following is NOT true about complementary angles? (A) Both angles are acute. (B) Neither angle can be a right angle. (C) Their angle measures have a sum of 90°. (D) Their angle measures cannot be equal.

Answers

Answer:

(D) Their angle measures cannot be equal.

Step-by-step explanation:

(A) It's fine if both angles are acute.

(B) None of the angles can be a right angle.

(C) Their sum has to be 90°.

(D) Their angle measures can be equal.

Answer:

Step-by-step explanation:

D is correct.  Complementary angles can certainly be equal (e. g., 45 and 45 degrees) or unequal (e. g., 30 and 60 degrees).

suppose that all of the points on the circular dartboard shown are equally likely to be hit by a dart. If the radius of the shaded center circle is 2 and the radius of the entire dartboard is 4, what is the probability of throwing a dart and hitting the white part of the board? Round your answer to the nearest whole number.

Answers

Answer:

P(white region) = 0.75 or 75%

Step-by-step explanation:

Find the area of the shaded region:

A = πr²

A = π(2)²

A = 12.56

Find the area of the entire dartboard:

A = πr²

A = π(4)²

A = 50.24

Find the probability that the dart hits the blue region:

P(blue region) = Area of blue region/ Total Area

P(blue region) = 12.56 / 50.24

P(blue region) = 0.25

As total probability is equal to 1, find the probability of throwing a dart that hits the white part of the board by substracting 0.25 from 1

P(white region) = 1 - P(blue region)

P(white region) = 1 - 0.25

P(white region) = 0.75

A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following ordered pairs gives an effective dosage of antibiotics for a 35-pound dog?

Answers

Answer:

B) (35, 260)

Step-by-step explanation:

A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following ordered pairs gives an effective dosage of antibiotics for a 35-pound dog?

A) (35, 240)

B) (35, 260)

C) (260, 35)

D) (240, 35)

Ordered pairs is composed of pairs, usually an x coordinate and a y coordinate. It refers to a location of a point on the coordinate. It matches numbers to functions or relations.

Given the relation between d is dosage in milligrams and w is the dog's weight in pounds as d ≥ 1∕5w²

For a 35 pound dog (i.e w = 35 pound). The dosage is given as:

d ≥ 1∕5(35)² ≥ 245 milligrams.

For an ordered pair (x, y), x is the independent variable (input) and y is the dependent variable (output).

The dog weight is the independent variable and the dosage is the dependent variable.

From the ordered pairs, the best option is (35, 260) because 260 ≥ 240

Answer:

(35, 260)

Step-by-step explanation:

I got it right on my quiz!

The graph below represents which systems of inequalities?
A. Y> 2x+3
y>+3
B. Y<2x+3
y C. Y<3x+2
y<-x+2
D Y> - 2x+ 3
y>x+3

Answers

Answer:

y ≤ x + 3

y ≤ -2x + 3

Step-by-step explanation:

Graph attached shows two solid lines having equal y-intercepts as 3 units.

Since one line passes through two points (0, 3) and (-3, 0),

Slope of this line 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                  = [tex]\frac{3-0}{0+3}[/tex]

                                  = 1

Let the equation of the this line is,

y = mx + b

where m = slope of the line

b = y-intercept

Therefore, equation of the line having slope = 1 and y-intercept = 3 units,

y = 1.x + 3

y = x + 3

Since, shaded region shown is on the left of the line y = x + 3

Therefore, y ≤ x + 3 will be the inequality with shaded area in green.

Slope of the second line passing through (0, 3) and (1.5, 0)

m' = [tex]\frac{3-0}{0-1.5}[/tex]

    = -2

Therefore, equation of the second line will be,

y = (-2)x + 3

y = -2x + 3

Since shade area (In yellow) is below the given solid line, equation of the inequality will be,

y ≤ -2x + 3

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In a study that was conducted at a high school in Chicago, researchers focused on the types of interactions that took place among students on a daily basis, the various forms of communication between teachers and pupils, and examined the influence of peer groups on student performance. What perspective was this research most closely related to 4Select the correct answer.What is the author's purpose in writing the passage?A.to explain the need for livestock and cropsto inspire political activism and revoltto compare rural and urban lifestylesto expose neglect of the poor and hungryC.Dexcerpt adapted from A Tale of Two Citiesby Charles DickensA beautiful landscape, with the com bright in it, but notabundant. Patches of poor rye where com should havebeen patches of poor peas and beans patches of mostcoarse vegetable substitutes for wheat.Monsieur the Marquis in his traveling carriage (whichmight have been lighter), conducted by four horses andtwo guards on horseback, labored up a steep hill, A blushon the countenance of Monsieur the Marquis was no faultof his high breeding. It was not from within. It was broughton by an external circumstance beyond his control thesetting sun. In effect, the sun was so low that it dipped atthat very moment,But, there remained a broken country, bold and open, alittle village at the bottom of the hill, a broad steep andrise beyond it, a church-tower, a windmill, a forest for thechase, and a crag with a fortress on it,The village had its one poor street, with its poortannery, poor tavern, poor stable-yard for relays of posthorses, poor fountain, all usual poor appointments. It hadits poor people too. All its people were poor, and many ofthem were sitting at their doors, shredding spare onionsand the like for supper, while many were at the fountain,washing leaves, and grasses, and any such small productsof the earth that could be eaten, Expressive signs of whatmade them poor were not wanting. The tax for the state,the tax for the church, the tax for the lord, tax local andtax gend were to be paid here and to be paid there,according to solemn inscription in the little village, untilthe wonder was, that there was any village leftResetNextO 2020 Edmentum. All rights reserved. Evaluate the function y=1/2(x)-4 for each of the given domain values? PLZ HELP ME Early pioneers of psychology set thegroundwork for which of the following?A. The future exploration of human and animal behavior.B. The future exploration of human inventions.C. The future exploration of human anthropology.D. The future exploration of world history. An article reported that for a sample of 46 kitchens with gas cooking appliances monitored during a one-week period, the sample mean CO2 level (ppm) was 654.16, and the sample standard deviation was 163.7.Required:a. Calculate and interpret a 9596 (two-sided) confidence interval for true average CO2 level in the population of all homes from which the sample was selected. b. Suppose the investigators had made a rough guess of 175 for the value of s before collecting data. What sample size would be necessary to obtain an interval width of 50 ppm for a confidence level of 95%? Which statement about the function is true? The function is positive for all real values of x where x > 4. The function is negative for all real values of x where 6 3. The function is negative for all real values of x where x < 2. Forten company current year income statement, comparative balance sheets and additional information follow. For the year all sales are credit sales. all credits to accounts recievable reflect cash reciepts from customers. all purchases of inventory are on credit. all debits to account payable reflectr cash payments for inventory and other expenses are paid in advance and are initially debited to prepaid expenses.Assets 2013 2012Cash $70,944 $72,000Accounts receivable 79,125 61,125Merchandise inventory 259,906 230,800Prepaid expenses 1,600 2,100Equipment 162,600 120,000Accum- depreciation - Equipment (53,800) (60,000)Total assets $520,375 $426,025Liabilities and Equity Accounts payable $58,075 $111,200Short-term notes payable 10,000 6,000Long-term notes payable 24,175 43,000Common stock, $5 par value 167,500 150,000Paid-in capital excess of par, common stock 52,500 0Retained earnings 206,025 115,825Total liabilities and equity $520,375 $426,025FORTEN COMPANY Income Statement For Year Ended December 31, 2013Sales $635,000Cost of goods sold 306,000Gross profit 329,000operating expenses Depreciation expense $20,000 Other expenses 128,300 148,300Other gains (losses) Loss on sale of equipment (4,500)Income before taxes 176,200Income taxes expense 31,000Net income $145,200Additional information on Year 2013 transactions:a. The loss on the cash sale of equipment was $4,500 (details in b)b. Sold equipment costing $45,800 with accumulated depreciation of $26,200, for $15,100 cash.c. Purchased equipment costing $88,300 by paying $63,000 cash and signing a long-term note payable for the balance.d. Borrowed $4,000 cash by signing a short-term note payable.e. Paid $44,125 cash by signing a short-term note payable.f. Issued 3,500 shares of common stock for $20 cash per share.g. Declared and paid cash dividends of $53,000.RequiredPrepare a complete statement of cash flows; report its operating activities using the indirect method. (Amounts to be deducted should be indicated with a minus sign) Suppose that a forester wants to see if the average height of lodgepole pines in Yellowstone is different from the national average of 70 ft. The standard deviation lodgepole pine height is known to be 9.0 ft. The forester decides to measure the height of 19 trees in Yellowstone and use a one-sample z-test with a significance level of 0.01. She constructs the following null and alternative hypotheses, where mu is the mean height of lodgepole pines in Yellowstone. H_0: mu = 70 H_1: mu notequalto 70 Use software to determine the power of the hypothesis test if the true mean height of lodgepole pines in Yellowstone is 62 ft. You may find one of these software manuals useful. Write your answer in decimal form and round to three decimal places. Power =