find the quantity whose :60% is rs 180kg​

Answers

Answer 1

Answer: 300

Step-by-step explanation:

60/100 multiplied by x = 180

Multiplying both sides by 100 and dividing both sides by 60,

we have x = 180 × 100/60

x = 300


Related Questions

Find the value of w, then x. Round lengths of segments to the nearest tenth pls help

Find the value of w, then x. Round lengths of segments to the nearest tenth pls help

Answers

Answer:

option b is the correct answer

air pollution control specialists in the dfw area monitor the amount of ozone, carbon dioxide, and nitrogen dioxide in the air on a monthly basis. the data collected for the past four years are summarized below. 2012 2013 2014 2015 jan 167 180 195 215 feb 180 205 210 227 mar 205 215 230 240 apr 225 245 280 305 may 240 265 290 310 jun 315 332 390 440 jul 360 400 420 410 aug 290 335 328 335 sep 240 260 290 315 oct 240 270 295 318 nov 227 255 280 305 dec 185 220 250 275 what is the trend and seasonality adjusted forecast for april 2016?

Answers

This forecast should be used as a general guideline rather than an exact prediction.

Based on the data provided, it is clear that the levels of ozone, carbon dioxide, and nitrogen dioxide have been increasing over the past four years. There is also a clear seasonality pattern, with higher levels during the summer months. To forecast the levels for April 2016, a trend and seasonality adjusted model can be used. This will take into account the overall upward trend and the seasonal fluctuations in the data. Using a statistical software program or spreadsheet tool, the forecast for April 2016 would be estimated to be around 320. This takes into account the trend and seasonality patterns observed in the past four years of data. It is important to note that actual levels may be influenced by other factors that are not accounted for in this model, such as weather patterns and changes in emissions from local sources.

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A spherical boulder is 26 ft in diameter and weighs almost 8 tons. Find the volume. Use 3.14 for it
The volume of the boulder is approximately 13
(Round to the nearest whole number as needed.)

Answers

Answer:

530 ft.

Step-by-step explanation:

π(r)^2

3.14(13)^2

= 530.66 rounded to the nearest whole number

= 530

Answer:

Step by step explanation:

Use proportional reasoning to determine the value of a in the proportion shown below. Q+5 unlu
O a = 1
O q = 25
O a = 10
O a = 15​

Answers

Answer:

a=10

Step-by-step explanation:

10. A shopkeeper earns a profit of Rs 1 by selling one pen and earns a loss of 30
paise on sale of one pencil. In a particular month, he incurs a loss of Rs 5. In that
month, he sold 40 pens. How many pencils did he sell in that period?

Answers

he sold 15 pen’s in that period because if you subtract from what he sold and then add you get 15 and when you solve it correctly

Let the roots of the polynomial x^2 + 7x - 2 be a and b Evaluate a^2 + b^2.

First gets brainliest, ty!

Answers

Answer:

  53

Step-by-step explanation:

You want the value of a^2 +b^2, given that 'a' and 'b' are roots of the polynomial x^2 +7x -2.

Factors

If the roots are 'a' and 'b', then the factored form is ...

  (x -a)(x -b) = x^2 -(a+b)x +ab

Comparing this to the given polynomial, we see that ...

  -(a+b) = 7

  ab = -2

Desired expression

The expression a^2 +b^2 can be written as the sum ...

  a^2 +b^2 = a^2 +2ab +b^2 -2ab = (a+b)^2 -2ab

Using the values of (a+b) and ab from above, we see that ...

  a^2 +b^2 = (-7)^2 -2(-2) = 49 +4 = 53

The given expression has a value of 53.

-x/5-8=12
Show work
And check

Answers

Answer:

\(\huge\boxed{\sf x = -100}\)

Step-by-step explanation:

Given equation:

\(\displaystyle -\frac{x}{5} -8=12\\\\Add \ 8 \ to \ both \ sides\\\\-\frac{x}{5} = 12+ 8\\\\-\frac{x}{5} = 20\\\\Multiply \ both\ sides \ by \ 5\\\\-x = 20 \times 5\\\\-x = 100\\\\Multiply\ both \ sides \ by\ -1\\\\x = -100\\\\\rule[225]{225}{2}\)

The scores on an exam have mean = 110, standard deviation = 15, minimum = 69. Q1 =87, median = 94,03 = 117, and macimum = 128. State which of these values are used in a box plot and then ch the box plot Which of these values are used in the box plot? Select all that apply A. median B. mean C. standard deviation D. Q1 E. minimum F. Q3

Answers

The values that are used in the box plot are:

A - Median

D - Q1

E - Minimum

F - Q3

G - Maximum

The stated question is related to the topic Statistics from maths.

The box plot is a five number set of data . The numbers are as stated above median , Q1 , minimum , Q3 and maximum .

The plotting of box plot is done as follows :

Draw a box from first quartile to third quartile that is from Q1 to Q3Now , inside the box draw a vertical line at medianThe whiskers go from each quartile to minimum and maximum , in easy words draw horizontal line from Q1 and Q3 representing minimum and maximum.

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Complete question

The scores on an exam have mean = 110, standard deviation = 15, minimum = 69 , Q1 =87, median = 94 , Q3 = 117, and maximum = 128.

State which of these values are used in a box plot ? Select all that apply

A. median

B. mean

C. standard deviation

D. Q1

E. minimum

F. Q3

G. maximum

pls help me lol xd.........................................

pls help me lol xd.........................................

Answers

Answer:

first of all what th math are you taking second of all c =1/4

Step-by-step explanation:

if 2 is to 2and 2/19 so you put 2 to be over 19 and you get 38/19 is to 40/19 then 40/38 gives a weird number but you multiply that by the initial value to get then second so multiply that by 3.8 and you get 4 so 4c +3 = 4 so subtract 3 you get 4c = 1 so c =1/4

Answer:

lol xd

Step-by-step explanation:

ecks dee

Determine whether a relation is a function.

Determine whether a relation is a function.

Answers

Answer:

so i think id be no

Step-by-step explanation:

if each  input  value  Leads to only  one output  value  that Classify the Relationship  as a Function  tell me if im wrong

The continuous-time LTI system has an input signal x(t) and impulse response h(t) given as x() = −() + ( − 4) and ℎ() = −(+1)( + 1).
i. Sketch the signals x(t) and h(t).
ii. Using convolution integral, determine and sketch the output signal y(t).

Answers

(i)The impulse response h(t) is a quadratic function that opens downward and has roots at t = -1. (ii)Therefore, by evaluating the convolution integral with the given input signal x(t) and impulse response h(t), we can determine the output signal y(t) and sketch its graph based on the obtained expression.

i. To sketch the signals x(t) and h(t), we can analyze their mathematical expressions. The input signal x(t) is a linear function with negative slope from t = 0 to t = 4, and it is zero for t > 4. The impulse response h(t) is a quadratic function that opens downward and has roots at t = -1. We can plot the graphs of x(t) and h(t) based on these characteristics.

ii. To determine the output signal y(t), we can use the convolution integral, which is given by the expression:

y(t) = ∫[x(τ)h(t-τ)] dτ

In this case, we substitute the expressions for x(t) and h(t) into the convolution integral. By performing the convolution integral calculation, we obtain the expression for y(t) as a function of t.

To sketch the output signal y(t), we can plot the graph of y(t) based on the obtained expression. The shape of the output signal will depend on the specific values of t and the coefficients in the expressions for x(t) and h(t).

Therefore, by evaluating the convolution integral with the given input signal x(t) and impulse response h(t), we can determine the output signal y(t) and sketch its graph based on the obtained expression.

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PLS HELP WITH THIS MATH

PLS HELP WITH THIS MATH

Answers

I think it’s 28.35

54/100 x 5 = 2.7
54 + 2.7 = 56.7
56.7/100 x 50 = 28.35
56.7 -28.35 = 28.35
Answer- 28. 35
Hope this helps your going so well on this

find x if 8.4% of x is 420. explain with steps

Answers

Answer:

\(x=5000\)

Step-by-step explanation:

\(\frac{84}{1000} x=420\)

\(x=420 \times \frac{1000}{84}\)

\(x=5000\)

y−1=−2(x−2) in slope intercept form

Answers

Answer:

\(y = - 2x + 5\)

Step-by-step explanation:

Simply simplify the equation from what it is to the slope intercept format:

\(y = mx + b\)

Step-by-step explanation:

Hey there!

We know;

The slope intercept form of equation is;

y = mx+c

So, let's try to take it in this form.

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

Multiply -2 and (x-2)

(y-1) = -2x + 4

Take '-1' to right side.

y = -2x+4+1

y = -2x+5

Therefore, the equation is y = -2x+5.

Hope it helps...

Casey bought an 100 pound bag of dog food . He gave his dogs the same amount of dog food each week. the dog food lasted eight weeks. How much dog food did Cassie give his dogs each week? give the answer as a fraction or a mixed number

Answers

casey gave his dog 12.5 pounds of food per week. 100 pounds for 8 weeks is 100 divided by 8 which is 12.5

what is the answer to Lora read 1/8 of a comic book in 2 days she read the same number of pages everyday what part of the book does she read in a week? and how to show the work

Answers

Answer:

7/16 of book

Step-by-step explanation:

1/8 book in 2 days means Lora reads 1/16 book every day

In 1 week (7 days), Lora reads 7 x 1/16 = 7/16

A recently televised broadcast of a popular television show had a 15 share, meaning that among 5000 monitored households with TV sets in use, 15% of them were tuned to the show. A 0.01 significance level is used to test an advertiser’s claim that among the households with TV sets in use, less than 20% were tuned in to the show. Find the P-value.

1.9998

0.9999

0.0001

0.0002

Answers

The p-value of the given hypothesis is; 0.9999

How to find the p-value of the statistics?

The formula for the z-score of proportions is;

z = (p^ - p)/√(p(1 - p)/n)

where;

p^ is sample proportion

p is population proportion

n is sample size

We are given;

p^ = 15% = 0.15

p = 20% = 0.2

n = 5000

Thus;

z = (0.15 - 0.2)/√(0.2(1 - 0.2)/5000)

z = -8.8388

From p-value from z-score calculator, we have;

P(Z < -8.8388) = 1 - 0.0001 = 0.9999

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a decision maker subjectively assigned the following probabilities to the four outcomes of an experiment: , , , and . are these probability assignments valid? explain.

Answers

Yes, the probability assignments given to the four outcomes of an experiment are valid. Probabilities are calculated subjectively, and the decision maker assigned probabilities to the four outcomes of the experiment, which is perfectly acceptable.

Probability is a numerical measure of the likelihood of an event occurring, ranging from 0 to 1.

An event that is certain to happen has a probability of 1, while an event that is impossible has a probability of 0. The probability of any other event lies somewhere between 0 and 1.

Probability assignments, which are subjectively determined probabilities, are valid as long as they meet the following criteria:

The probabilities assigned must be between 0 and 1. The sum of the probabilities assigned to all potential outcomes must be 1.

In this case, the probability assignments are valid because they meet both of the above criteria. The probabilities assigned are between 0 and 1, and when the probabilities are added together, the sum is 1.

Therefore, the given probability assignments are valid.

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In a convex 20-sided polygon, the sum of the 10 larger interior angles is 160 degrees more than the sum of the 10 smaller interior angles. What is the average measure of the 10 larger interior angles?

Answers

Answer:

3240 degrees? I guess. I'm sorry if its the wrong answer.

Answer: 170

Step-by-step explanation:

Let L be the sum of the degree measures of the 10 larger interior angles, and S be the sum of the degree measures of the 10 smaller interior angles. The angles in a convex 20-sided polygon add up to 180(20-2)=3240 degrees, which tells us that L+S=3240. The problem also tells us that L-S=160. Adding both equations together, we get $2L=3400, and by dividing by 2, we get L=1700. Therefore, the sum of the 10 larger interior angles is 1700 degrees, and the average measure of these angles is 1700/10

=170

When it is 4:00 a.m. in Honolulu, it is 2:00 p.m. in London. Just before Paul’s flight from Honolulu to London, he called his friend Nigel, who lives in London, asking what kind of clothing to bring. Nigel explained that London was in the middle of some truly peculiar weather. The temperature was currently 30°C, and was dropping steadily at a rate of 1°C per hour. Paul’s flight left Honolulu at 12:00 p.m. Thursday, Honolulu time, and got into London at 1:00 p.m. Friday, London time. What kind of clothing would have been appropriate for Paul to be wearing when he got off the plane?

Answers

Answer:

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Step-by-step explanation:

If it is 4:00 a.m. in Honolulu when it is 2:00 p.m. in London, then the difference between times is:

\(d=14-4\\d=10\ hours\)

London is 10 hours ahead of Honolulu.

If Paul left Honolulu at 12:00 p.m, the corresponding time in London was:

\(t=12+10\\t=22 = 10:00\ p.m.\)

Since he arrived in London at 1:00 p.m. at Friday, the flight time was:

\(F= (24-22)+13\\F=15\ hours\)

The flight took 15 hours in total. If the temperature was 30°C when he boarded the flight and it decreases at a rate of 1°C per hour, the temperature when Paul arrives in London is:

\(T=30-(15*1)\\T=15^oC\)

Converting it to Fahrenheit

\(T=(15*\frac{9}{5})+32 \\T=59\ F\)

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Answer:

d

Step-by-step explanation:

A ball is thrown upward with an initial velocity of 75 feet per second and an initial height of 4 feet. Given h(t) = −16t2 + v0t + h0, complete function h to model the vertical motion of the ball. Then find the ball’s maximum height, to the nearest foot.

h(t) = −16t2 + ? t + ?


maximum height:

Answers

The ball reaches a maximum height of approximately 146 feet, to the nearest foot.

What exactly does the term Maximus height mean?

Maximum Height refers to the highest point of the structure or sign as measured from the average natural ground level at the base of the supporting structure.

The ball is thrown upward with an initial velocity of 75 feet per second, implying that v0 = 75. We are also told that the ball is thrown from a height of 4 feet, implying that h0 = 4.

The function: can be used to model the ball's vertical motion.

16t2 + v0t + h0 = h(t).

Substituting v0 and h0 values yields:

h(t) = -16t^2 + 75t + 4

To determine the maximum height of the ball, we must first locate the vertex of the parabolic function h. (t). The vertex of the parabola is given by the equation y = ax2 + bx + c:

x = -b / 2a

y = c - b^2 / 4a

a = -16, b = 75, and c = 4 in this case. Substituting these values into the above formulas yields:

t = -75 / 2(-16) = 2.34 sec

h(t) = 4 - (752) / (4(-16)) 146 ft.

As a result, the ball reaches a maximum height of about 146 feet to the nearest foot.

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Alice carries out an experiment to record how quickly plants grow. One plant increases in height from 12.0 cm to 13.8 cm in one week. A second plant increases by the same percentage to 16.1 cm. What was the original height of the second plant

WILL GIVE BRAINLIEST

Answers

Answer:

14.0cm

Step-by-step explanation:

if 13.8 = 12.0

then 16.1 = ?

\( \frac{16.1}{13.8} \times 12.0cm = 14.0cm \)

Answer:

14 cm

Step-by-step explanation:

1st plant:

13.8 - 12.0 = 1.8

1.8/12 = .15

.15 x 100 = 15% growth

2nd plant:

let x =  original height

x + x(.15) = 16.1

1.15x = 16.1

x = 16.1 / 1.15 = 14.0 cm

Aaron has 47 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 266 square meters. List each set of possible dimensions (length and width) of the field.

Answers

The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).

Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.

The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.

Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:

Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,

we have:Length of the field, l = 11 m

Width of the field, w = 12 m

Area of the field = l × w = 11 × 12 = 132 sq. m

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How do you solve a differential equation with exponential equations?

Answers

To solve a differential equation with exponential equations, start by isolating the dependent variable and any coefficients that may exist on either side of the equation. Next, take the natural logarithm of both sides of the equation and use the properties of logarithms to simplify the equation. Solve for the dependent variable. Finally, take the exponential of both sides of the equation and simplify it to get the solution.

For example, consider the differential equation dy/dx = 2y.

Isolate the dependent variable to get y = dx/2.

Then, take the natural logarithm of both sides to get ln(y) = ln(dx/2).

Use the property ln(a/b) = ln(a) - ln(b) to get ln(y) = ln(dx) - ln(2).

Solve for ln(y) to get ln(y) = ln(dx) - ln(2).

Then, take the exponential of both sides to get \(y = e^{ln(dx) - ln(2)}\) and simplify to get the solution \(y = (dx/2) e^{ln(dx)}\).

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27. If T and P are positive numbers,which of the following is always false?
A. P-T>O
B. P+T=0
C. P + T = 2P
D. P+T> P

Answers

Answer:

B

Step-by-step explanation:

The only way for two numbers to = zero when they're added together is if one is negative. There are no two positive numbers that when added together will equal 0, therefore if p and t are positive, their sum cannot be 0

solve for x and find the value of x

solve for x and find the value of x

Answers

We can write an equation for the interior angles, and we will see that x = 13

How to find the value of x?

We want to find the value of x, we can see two adjacent angles on a rectangle, then the sum of these two is equal to 180°, we can write:

3x + 78 + x + 50 = 180

4x + 128 = 180

4x = 180 - 128

4x = 52

x = 52/4 = 13

The value of x is 13.

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The Hartman family is saving $400 monthly for Ronald’s college education. The family anticipates they will need to contribute $20,000 toward his first year of college, which is in 4 years. Which best explains whether the family will have enough money in 4 years?
The family will not have enough money. They will have saved only $16,000.
The family will not have enough money. They will have saved only $19,200.
The family will likely have enough money. They will have saved $16,000 and have accumulated interest.
The family will likely have enough money. They will have saved $19,200 and have accumulated interest.

Answers

The statement which best explains whether the family will have enough money in 4 years is; The family will not have enough money. They will have saved only $19,200.

Savings

Amount Hartman family saves monthly = $400Amount needed = $20,000Number of years = 4Number of months = 4 × 12 = 48

Amount saved in 4 years = Amount Hartman family saves monthly × Number of months

= $400 × 48

= $19,200

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The statement which best explains whether the family will have enough money in 4 years is; The family will not have enough money. They will have saved only $19,200.

Savings

Amount Hartman family saves monthly = $400Amount needed = $20,000Number of years = 4Number of months = 4 × 12 = 48

Amount saved in 4 years = Amount Hartman family saves monthly × Number of months

= $400 × 48

= $19,200

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Are the two terms on each tile like terms?

Are the two terms on each tile like terms?

Answers

Answer:

1 like

2 unlike

3 like

4 like

5 unlike

6 unlike

Step-by-step explanation:

For terms to be like terms, they must have exactly the same variables and the same exponents.

1 like

2 unlike

3 like

4 like

5 unlike

6 unlike

All these comments are correct

The length, width, and height of a large, custom-made shipping crate are 1.22 m,3.22 m, and 0.83 m, respectively. What is the volume of the box ( in cm
3
) ?

Answers

The volume of the box is 3,189,068 cubic centimeters. The length, width, and height of a large, custom-made shipping crate are 1.22 m, 3.22 m, and 0.83 m, respectively. What is the volume of the box (in cm)? The volume of a box is calculated by multiplying the length, width, and height of a box.

However, the dimensions are given in meters, not centimeters, so they must first be converted. The given dimensions are as follows: Length = 1.22 m, Width = 3.22 m, Height = 0.83 m.

To convert meters to centimeters, multiply each dimension by 100. As a result, the dimensions will be as follows:Length = 122 cmWidth = 322 cmHeight = 83 cm.

Now, using the formula, Volume = Length x Width x Height= 122 x 322 x 83= 3,189,068 cubic centimeters. Therefore, the volume of the box is 3,189,068 cubic centimeters.

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The length of a bacterial cell is about 4 x 10 to the negative power of 6 m, and the length of an amoeba cell is about 2.5 x 10 to the power of 4 m. How many times smaller is the bacterial cell than the amoeba
cell? Write the final answer in scientific notation with the correct number of significant digits.
A. 06.25 x 10²
B. 2x10²
C. 6x 10¹
D. 16 x 10¹

Answers

The number of times the bacterial cell is smaller than the amoeba cell is 1.6 * 10^-10

How many times smaller is the bacterial cell than the amoeba cell?

The given parameters are:

Bacteria cell = 4 x 10^-6 m

Amoeba cell = 2.5 x 10^4 m

The number of times (n) is calculated as

n = Amoeba cell/Bacteria cell

This gives

n = (4 x 10^-6 m)/(2.5 x 10^4 m)

This gives

n = 1.6 * 10^-10

Hence, the number of times the bacterial cell is smaller than the amoeba cell is 1.6 * 10^-10

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Can someone help me out in these geometry fill in the blanks? Its urgent, gotta have answers fast In your response, be sure to address all parts of the question. Use complete sentences; an outline or bulleted list alone is not acceptable.Use the passage below to answer all parts of the question that follows.In 1683, the Kangxi emperor of China asked that I and two other Jesuit fathers accompany him on a journey from Beijing to the Mongol and Turkic regions beyond the Great Wall with 60,000 cavalry and members of the court on a hunting expedition. The emperor wanted to keep the military in constant movement during peace and prepare it for war. He also wanted to prevent his Manchu and Turkic troops from becoming infected by Chinese luxury and, further, to keep the peoples of the region in obedience.The emperor has divided the immeasurable districts beyond the Wall into forty-eight provinces and has made them all subject and tributary. Thus, he is sovereign of the Chinese and the nomads and could be justly called the greatest and mightiest ruler in the world. Indeed, the emperor chastises offenders of the highest and lowest classes with impartiality according to their misdeeds and he alone makes decisions after considering the advice of his imperial council and hearing the sentences of the imperial law courts. On this account, men of all rank stand in his presence with deep awe and recognize him as sole ruler.Ferdinand Verbiest, Flemish Jesuit missionary, adviser, and astronomer at the court of the Kangxi emperor of the Qing dynasty, letter to fellow Jesuits in Europe, 1683a) Identify ONE way in which the passage illustrates the development of China in the seventeenth and eighteenth centuries.b) Identify ONE other state in the period 14501750 that used methods of rule similar to those described in the passage.c) Explain ONE factor that might have contributed to Verbiests view of the emperor in the second paragraph. 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What is the density? all of the following are factors that are significant in team composition except question 4 options: ecological constraints. functionality. reward structure. homophily. network constraints. A remote-controlled helicopter flew west at a constant velocity for 27.5seconds. it flew 352meters in that time. what was the helicopter's velocity What is acentral idea in "The White Umbrella"? A. It is fun for the narrator to live in a culture that has different lifestyles and expectations.B. The narrator finds it challenging to fit in because her family has different cultural values.C. The narrator enjoys being responsible for her sister while their mother is at work.D. It is comforting for the narrator to imagine her mom working in different jobs. Chapter 8: Financing a business19cardsSunny H.BusinessIntroduction To BusinessPractice all cardsIncome statementsummarizes the revenue and expenses of a business for a period of timeFinancial marketsthey direct savings into business investmentIPO marketprimary market where companies sell stock to raise moneyTrade creditsuppliers allowing a business to charge purchasesRetained earningsprofits that businesses save and invest in their operationsStock marketthe purchase and sale of shares of stock issued by corporations in the past occurs hereCommon stockA share of ownership in a corporation, usually with voting rightsDividendsprofits that a corporation distributes to its ownersbonda long term IOU issued by a businessBalance sheetsummarizex the value of what a business owns and what it owesYou are a creditor of the corporation if you own a __________.Corporate bondA business is most likely to use short term loans tomeet payroll and other expensesWhen people buy shares of ABC Company's stock in the stock market, their money goes mostly toa. the ABC companyb. stock brokersc. none abovec. None aboveWhen people buy shares of ABC Company's stock in the IPO the moneyis recieved bya. the ABC companyb. stock brokersc. none abovea. the ABC companyTrue or falseDividends are a form of business savingTRUETrue or False:People who put saving into shares of stock make money if they eventually sell the shares for more than they paid for themTRUEEMicrochippy is a new, small tech. company that is growing rapidly. Which is least likely?a. selling new stockb. paying high dividendsc. adding to retained moneyd.borrowing moneyb. paying high dividendsThe best source of informaion about a company's profit is ....its income statementTo determine the financial condition of a business at a particular time, it is best to study the company's...balance sheet Interphase and mitosis are similar in plant and animal cells, except that the centrioles appear during prophase in animal cells. Predict whether animal cells or plant cells spend a longer time in mitosis. Design an experiment to test your prediction. write any two adaptational characteristics of the plants found in mountain region of the 50 students in the cafitera, 7 have red hair. If there are 750 students in the school, predict the number of students who have red hair. 1. An object, constrained to move along the x-axis is acted upon by a force F(x) where = a = 5 N/m, b = -2N/m F(x) = ax + bx The object is observed to proceed directly from x = 1m to x = 3.0m. How much work was done by the object by the force? Does the process of integration take into account the fact that the force F(x) changes sign in the interval. Congress cuts personal income taxes by $20 million. What is the determinant of AD?A. Consumption B. InvestmentC. Government SpendingD. Net Exports Solve the following system by Gauss-Jordan elimination.2x1 + 5x2.+ 11x3 = 3110x1 + 26x2 + 59x3 = 161 Quotes: Which of the following sentences is punctuated correctly?A. James caught up to Sara and gasped, "Wow, you run really fast."B.James caught up to Syra and gasped, "wow you run really fast."C. James caught up to Sara and gasped: "Wow you run really fast."D. James caught up to Sara and gasped, "Wow, you run really fast."