a. Thor works more hours each week, the quantity of donations the organization raises each week declines, but the link is not very strong.
What is negative correlation?When two variables are correlated negatively, the other variable's value falls as the value of the first variable rises.
The correlation coefficent, which expresses correlation on a scale from +1 to -1, is used. Numbers less than 0 indicate a negative connection. An increase in one variable confidently foretells a drop in the other when there is a perfect negative correlation, with a coefficient of -1. Non-zero coefficients between +1 and -1 are used to show lower degrees of connection. 0 means there is no propensity for the variables to change simultaneously, either positively or negatively.
a. A weak negative linear relationship between hours worked and donations collected in this context means that as Thor works more hours each week, the quantity of donations the organization raises each week declines, but the link is not very strong.
b. When we say there is a weak correlation between two variables, we are referring to their level of relationship. The negative correlation in this instance indicates that there is a propensity for the amount of donations collected to decline as the time spent working increases, but the relationship is not very strong, indicating that there is a lot of variability in the data and making firm predictions or conclusions based on this correlation alone is challenging.
c. Tom's boss's claim is wrong as the negative correlation or the decline in donation is a mere coincidence and does not have a relation to Thor's work.
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Five Factors Effecting the
Economic
Environment
Financial State
Ecological Environment
Production Facilities
- Personal
expertise
growth of food service industry
Answer:
environment .. pollution
growth if of food.... wealthy too much rain or no rain
I need to find the length of the base
The length of the base of the given isosceles triangle is 18.
What is an isosceles triangle?
A triangle with two equal sides is known as an isosceles triangle in geometry. Both having exactly two sides of equal length and having at least two sides of equal length are acceptable specifications, with the latter version containing the equilateral triangle as an exception. The theorem that describes the isosceles triangle is, "if the two sides of a triangle are congruent, then the angle opposite to them is likewise congruent."
Given the sides of the triangle as 2x+4, x+8 and 5x-2
∠A and ∠B are given as same.
So this is an isosceles triangle.
One of the properties of an isosceles triangle is that the opposite angle of an isosceles triangle will also be equal if the sides are equal. As a result, if two sides are equal, so will the two angles that are across from them.
So 2x + 4 = x + 8
Solving, we get x as
x = 4
So now substituting this value in 5x -2, which is the base of the triangle.
5 * 4 -2 = 20 - 2 = 18
Therefore the length of the base of the given isosceles triangle is 18.
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¿CUÁNTOS CUADRADOS VES?
hay 12, 6 pequeños que se pueden ver a simple vista y luego 6 que se puede formar con los demás
A person invested $13,000, part of the money, x, was placed in a stock that paid 9% annual interest. The rest of the money suffered a 5% loss. Express the total annual income from both investments, I, as a function of x.
The total annual income from both investment is
(14x -65000)/100
What is interest?Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.
I = x× 9/100
I = 9x/100
(13000 - x) × 5/100
= (65000-5x)/100
therefore the total amount annual income
= 9x /100 - (65000-5x)/100
= (9x+5x-65000)/100
= (14x - 65000)/100
therefore the total annual income = (14x -65000)/100
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In a case whereby a person invested $13,000, part of the money, x, was placed in a stock that paid 9% annual interest the total annual income from both investments, I, as a function of x is I= [ 0.14X+12350 ]
How can the total annual income from both investmentsbe expressed?The Amount that was invested =$13,000
Then the Profitable Investment which was givden as 9% can be expressed as = [ X(1.09) ]
Then from the question we can see the Negative Investment, which is -5% and can be expressed as = [ (13,000-X)(1-0.05) ]
The we can sum up as
I= [ X(1.09) ]+ [ (13000-X)(0.95) ]
This can be simplified as
I= [ 1.09X-0.95X+12350 ]
I= [ 0.14X+12350 ]
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A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the gpa of male students are µ = 3. 5 and σ = 0. 5. Suppose a random sample of 100 male students is selected and the gpa for each student is calculated. What is the probability that the random sample of 100 male students has a mean gpa greater than 3. 42?
The probability that the random sample of 100 male students has a mean gpa greater than 3. 42 is 0.9452.
What is Standard deviation?A statistic known as the standard deviation is used to describe how volatile or dispersed a group of numerical values is. While a big standard deviation denotes that the values are scattered across a wider range, a low standard deviation indicates that the values tend to be close to the set mean.
From the given information, a scores random sample of 100 male students is selected and the GPA for each student is calculated which follows approximately normal with a mean of 3.5 and standard deviation of 0.5. That is,
µ = 3. 5 and σ = 0. 5
and the random sample of 100 male students has a mean GPA 3.42 is considered.
The z-score value is,
Z=( 3.42-3.5)/ (0.5/√100)
Z= -0.08/0.05
Z=-1.6
The value of z-score is obtained by taking the difference of x and µ. Then the resulting value is divided with the standard deviation by sample size.
The probability that the random sample of 100 male students has a mean GPA greater than 3.42 is obtained below:
The required probability is,
P(X>3.42)=P(z>-1.6)
= 1- P(Z≤-1.6)
From the “standard normal table”, the area to the left of Z=-1.6 is 0.0548.
P(X>3.42)= 1- P(Z≤-1.6)
=1-0.0548
=0.9452
The probability that the random sample of 100 male students has a mean GPA greater than 3.42 is 0.9452.
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Which statistical test is most appropriate to use to answer the following research question? Is there a difference in mean height between middle school students based on gender (male and female) and grade (6th, 7th, 8th)?
The most appropriate statistical test is a two-way ANOVA
How to determine the most appropriate statistical testFrom the question, we have the following parameters that can be used in our computation:
Question: Is there a difference in mean height between middle school students based on gender (male and female) and grade (6th, 7th, 8th)?
The most appropriate test is the two-way ANOVA
This is so because the test is a type of hypothesis test that uses a statistical model to analyze the variance between groups and within groups.
It tests the null hypothesis that the means of all groups are equal against the alternative hypothesis that at least one group mean is different from the others.
In this case, the groups are
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The winner of the 1998 Peoria 500 (mile) race was Serge Bologna, with an average rate
of 123.362 mi per hr. What was his time (to the nearest thousandth of an hour)?
Time is 4.053 hours (to the nearest thousandth of an hour).
What is average rate?
This refers to the change in speed over a selected period of time. It depends on when you take the measurements. •
Solving for average rate:
Average Rate = 123.362 mi per hr
Distance = 500 (mile)
Time =?
Average Rate = Distance
Time
123.362 mi per hr = 500 (mile)
Time
Making time subject of the formular we have:
Time = 500 (mile)
123.362 mi per hr
Time = 4.053 hrs
Time is 4.053 hours (to the nearest thousandth of an hour).
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4. Leo is taking an algebra test containing computation problems worth
5 points each and application problems worth 8 points each. Leo
needs to score at least 83 points on the test to maintain his B average.
Let c represent the number of computation problems he answers
correctly and a represent the number of application problems he
answers correctly. Write an inequality to represent the constraint.
The inequality that represents the constraint faced by Leo in needing to score at least 83 points is 5 c + 8 a ≥ 83.
How to find the inequality ?Let's first find the total number of computation and application problems that Leo needs to answer correctly to score at least 83 points on the test.
Let c be the number of computation problems that Leo answers correctly, and let a be the number of application problems that he answers correctly.
Total points is therefore :
= 5 c + 8 a
To maintain his B average, Leo needs to score at least 83 points on the test. Therefore, we can add the inequality part to make it:
5 c + 8 a ≥ 83
This shows that Leo needs to score either 83 points or above that in the test.
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A study in a journal found that 8% of children younger than age 18 in a country have at least one food allergy. Among those with food allergies, about 38% had a history of severe reaction. (Enter your answers to four decimal places.) (a) If a child younger than 18 is randomly selected, what is the probability that he or she has at least one food allergy and has a history of severe reaction? (b) It was also reported that 31 % of those with an allergy are allergic to multiple foods. If a child younger than 18 is randomly selected, what is the probabilty that he or she is allergic to multiple foods?
0.0248 is the probabilty that he or she is allergic to multiple foods .
What is probability and its formula?
The probability serves as a gauge for the possibility that an event will occur. It quantifies the certainty of the event.
The probability equation is stated by the following notation: P(E) = Number of Favorable Outcomes/Number of Total Outcomes.
P(food allergy and history of severe reaction) = 0.08 x 0.38
= 0.0304
b) P(allergic to multiple foods) = 0.08 x 0.31
= 0.0248
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Determine if the statement is true or false. Construct an argument that can be used to defend your solution.
An exterior angle of a triangle will always be obtuse.
The statement "an exterior angle of a triangle will always be obtuse" is actually false.
Why it is?
An exterior angle of a triangle is formed by extending one of the sides of the triangle, and it is the angle between that extended side and the adjacent side of the triangle.
The measure of an exterior angle is equal to the sum of the measures of the two interior angles that are not adjacent to it.
Now, consider a triangle with interior angles of 70, 60, and 50 degrees. If we extend the side opposite the 70-degree angle, we get an exterior angle of 110 degrees. However, 110 degrees is not obtuse, since an angle is obtuse if and only if it is greater than 90 degrees. Therefore, we have shown that an exterior angle of a triangle does not always have to be obtuse.
In summary, the statement "an exterior angle of a triangle will always be obtuse" is false, and we have provided a counterexample to show why this is the case.
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Carissa the chessplayer is a very, very slow walker. In fact, she walks at 100 meters per hour when walking uphill, 180 meters per hour when walking across flat ground, and 250 meters per hour when walking downhill. One day, Carissa walks across Boston from a café to a boba shop, and then takes the same route in reverse to return to the café. If there are equal parts of uphill, flat ground, and downhill, then what was Carissa's average speed during the entire round trip?
According to the statement, the Ship must move at an average pace of 150 meters per hour.
Is Downhill unfavorable?The variable under examination is lessened when the gradient is "downhill" (negative). When used as a gauge of how well things are doing, "downhill" denotes a downward trend. Yet, if this indicates trouble or some other unpleasant quality, the situation is improving.
The chess player Carissa walks very, very slowly. She actually moves at speeds of 100 meters per hr upward, 150 meters per hr on flat terrain, and 200 meters every hour on downhill terrain.
Here,
Carissa traverses Boston on foot from a coffeehouse to a boba store before returning over the same path.
Total distance walked = 2 [200 + 100 + 150] = 900 meter
Total time = 2 [1 + 1 + 1] = 6 hour
Average speed is calculated as distance divided by time (900 / 6 = 150 m/s),
As a result, the needed Carissa average speed is 150 meters per hr.
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Your itinerary contains a grid map of Washington D.C., with each unit on the grid representing 0.125
miles. If the White House is located at (−8,−6)
and the Pentagon is located at (−1,10)
, what is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two buildings in miles? Round your answer to two decimal places, if necessary.
2.183 miles is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two buildings.
What is distance?Distances between two things or places can sometimes be measured qualitatively and sometimes quantitatively. A physical length or an estimate based on other criteria might be referred to as distance in physics or everyday language. The entire movement of an item, independent of direction, is called distance. No matter where an item starts or ends, distance may be described as the amount of ground it has covered.
Given that,
If the White House is located at (−8,−6) and the Pentagon is located at (−1,10).
Then, distance = √(-8-(-1))² + (-6 -10)² × 0.125
= 2.183 miles
Thus, 2.183 miles is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two buildings.
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1.Find the equation of the lines given the two points. 2. a) (-8, 3) and (-6, 0) b) (5, 4.5) and (5, -1)
The equation of the lines with the points (-8, 3) and (-6, 0) is y = -3x/2 + 9.
The equation of the lines with the points (5, 4.5) and (5, -1) is y = 4.5.
How to determine an equation of this line?In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.At data point (-8, 3), a linear equation in standard form for this line can be calculated by using the point-slope form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 3 = (0 - 3)/(-6 + 8)(x + 8)
y - 3 = -3x/2 - 12
y = -3x/2 + 9
For points (5, 4.5) and (5, -1), we have:
At data point (5, 4.5), a linear equation in standard form for this line can be calculated by using the point-slope form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 4.5 = (-1 - 4.5)/(-5 - 5)(x - 5)
y - 4.5 = 0
y = 4.5
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Based on the information in the passage, which will most likely happen?
O Joelle will return to her old school and play baseball.
O Joelle's brother will become a professional baseball player.
O Elizabeth and Joelle will remain friends despite the sport they play.
O Ms. Fenner will put pressure on Joelle to try out for the softball team.
Based on the information in the passage, we will most likely expect the following to happen:
C. Elizabeth and Joelle will remain friends despite the sport they play.
What is the passage about?The passage being referred to in this question is "Sliding into Home" by Dori Hillestad Butler. It tells the story of two girls named Elizabeth Shaw and Joelle Cunningham who chose different sports but remained determined to be friends despite this.
While Joelle enjoyed playing baseball, Elizabeth was better at Softball. Despite Elizabeth's encouragement for Joelle to play Softball, Joelle insisted on her favorite game but they remained friends regardless.
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Aiden is a spice trader. He sells any amount of cumin seeds from
1
11 kilogram to
1000
10001000 kilograms. He charges
$
5
$5dollar sign, 5 for
1
11 kilogram and
$
2000
$2000dollar sign, 2000 for
1000
10001000 kilograms.
�
(
�
)
p(w)p, left parenthesis, w, right parenthesis models the price (in dollars) of
�
ww kilograms of cumin seeds in Aiden's shop.
Which number type is more appropriate for the domain of
�
pp?
Choose 1 answer:
Choose 1 answer:
(Choice A) Integers
(Choice B) Real numbers
What's the appropriate domain?
Therefore , the solution of the given problem of domain comes out to be the appropriate domain for p(w) would be [1, 1000]
Explain a domain.The domain of a function is the range of possible arguments that it can accept. The cross of the an f-like functional is represented by these numbers (x). The range of potential values to which a function can be applied is known as its domain. The value that the procedure returns after inserting the x value is part of this set. An equation for a function is Y = f, where y and x are predictor variables (x). When a given value of x can produce a single value of y, a parameter is said to be in the scope of a function.
Here,
Given :
1 kilogram to 1000 kilograms.
He charges $5 for 1 kilogram and $2000 for 1000 kilograms.
So,
The appropriate domain for p(w) would be [1, 1000]
since
Aiden sells any amount of cumin seeds from 1 kilogram to 1000 kilograms.
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The complete question is "Aiden is a spice trader. He sells any amount of cumin seeds from 1 kilogram to 1000 kilograms. He charges $5 for 1 kilogram and $2000 for 1000 kilograms.
p(w) models the price (in dollars) of w kilograms of cumin seeds in Aiden's shop. What's the appropriate domain?"
The following table lists numbers in their standard and scientific notations. Fill in the missing values.
The first two have been completed for you as examples.
Standard Notation
I
Answer:
Hope the picture helps! <3
Step-by-step explanation:
Find domain Range Y-intercept X- intercept Vertical asymptote Horizontal asymptote Pic attached below note write domain and range in interval notation
Find domain
Range
Y-intercept
Xi intercept
Vertical asymptote
Horizontal asymptote
Pic attached below
Find domain
Range
Y-intercept
X- intercept
Vertical asymptote
Horizontal asymptote
Pic attached below
The key features of this rational function include the following:
Domain: (-∞, -2) ∪ (-2, ∞)
Range: (-∞, -1) ∪ (-1, ∞)
Y-intercept: 2.
X-intercept: 1.
Vertical asymptote: x = -2.
Horizontal asymptote: y = -1.
What is a rational function?In Mathematics, a rational function simply refers to a type of function which is expressed as a fraction. This ultimately implies that, a rational function is composed of two (2) main parts and these include the following:
NumeratorDenominatorIn order to graph any rational function, you should determine the values for which it is undefined. This ultimately implies that, a function is considered as undefined when the value of the denominator is equal to zero, which represents vertical asymptote lines.
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the question is the image
y = 14/11 x is the required equation. Option Cis correct
Direct and indirect variationIf the variable y varies directly with x, this is expressed as:
y = kx
where
k is the constant of proportionality
Given that x = 11 and y = 14, hence;
k = y/x
k = 14/11
Substitute k into the original equation
y = kx
y = 14/11 x
Hence the required equation from the given information is y = 14/11 x
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time series data of a typical the gap store should show which of the following data patterns? multiple choice a. trend b. cyclical c. seasonal d. all of the options are correct. e. random
The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.
What is time series data:
Time series data refers to a collection of data points that are measured over time at regular intervals. The time series data could refer to various metrics such as sales, revenue, foot traffic, website traffic, inventory levels, and other relevant business metrics that change over time.
By analyzing time series data, businesses can gain insights into trends, patterns, and other factors that can affect their operations.
Time series can be used for forecasting. By analyzing past trends and patterns, businesses can make predictions about future performance and take proactive measures to achieve their goals.
Since the time series will follow the trend, have multiple choices, and will be cyclical and it will analyze the patterns over time periods seasonally.
Therefore,
The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.
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Solve this system of equations by substitution.
x + y = 4
2x - 3y = 3
Answer
Given the 2 equations
x = y + 4 → (1)
2x - 3y = - 2 → (2)
Substitute x = y + 4 into (2)
2(y + 4) - 3y = - 2 ← distribute and simplify left side
2y + 8 - 3y = - 2
- y + 8 = - 2 ( subtract 8 from both sides )
- y = - 10 ( multiply both sides by - 1 )
y = 10
Substitute y = 10 into (1) for corresponding value of x
x = 10 + 4 = 14
Solution is (14, 10 ) → D
Step-by-step explanation:
Answer:
x=3
x=3y=1
I hope this helps!
Step-by-step explanation:
x+y=4
2x-3y=3
y = 4-x
2x-3(4-x) = 3
2x-12+3x = 3
5x = 15
x = 3
y = 4-x
4-3 = 1
y = 1
A moving company is able to move 50 boxes per hour. Write an equation
Answer:
Step-by-step explanation:
Let's assume that x is the number of boxes that the moving company moves in a certain amount of time (in hours). Then we can write the following equation to represent the relationship between the number of boxes moved and the time taken:
x = 50h
where h is the number of hours taken to move x number of boxes.
This equation means that the number of boxes moved, x, is equal to the product of 50 boxes per hour and the number of hours, h, taken to move those boxes.
For example, if the moving company moves 200 boxes, then we can find the time taken as:
200 = 50h
h = 200/50
h = 4
Therefore, the moving company takes 4 hours to move 200 boxes.
100 POINTS If a business owner paid for all business assets with their own money, what percent of the profits will they receive?
A. 100%
B. 95%
C. 75%
D. 50%
Answer:
A. 100%
Step-by-step explanation:
Business owners will recieve 100% of their profits, because they paid for them. The recommended profits are 50% because they need to pay employees as well.
Pls help !!!! will give 100 points and brainliest
a) xᵃ/xᵇ = xᵃ⁻ᵇ
b) xᵃ x xᵇ = xᵃ⁺ᵇ
c) x⁰ = 1
d) (xᵃ)ᵇ = xᵃˣᵇ
e) x⁻ᵃ = 1/xᵃ
indices are a method used in solving a variable in which the power or exponent of a number is raised to a number of variables
These questions are part of the basic theorems or rules of indices
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Match the vocabulary term to its correct definition
To match the terms to their correct definitions, we have:
Kite - A quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent.Parallelogram - A quadrilateral with both pairs of opposite sides parallelRectangle - A parallelogram with four right angles.Trapezoid - A quadrilateral with exactly one pair of parallel sides. Rhombus - A parallelogram with four congruent sides and four right angles.What is a quadrilateral?A quadrilateral refers to a two-dimensional shape that has four sides, four vertices, and four angles.
There are different categories of quadrilaterals, such as trapezium, kite, parallelogram, rectangle, rhombus, and square.
The sides of a quadrilateral can be of different lengths and the angles can be of different measures.
Some types of quadrilaterals such as squares, rectangles, rhombus, etc. are special with some of their sides and angles being equal.
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The next dividend payment by Hoffman, Inc., will be $2.55 per share. The dividends are anticipated to maintain a groeth rate of 6 percent forever. Assume the stock currently selld for $48.70 per share.
Answer:
The dividend yield is the dividend next year divided by the current price, so the dividend yield is:
Dividend yield = D1 / P0
Dividend yield = $2.55 / $48.70
Dividend yield = .0524, or 5.24%
The capital gains yield, or percentage increase in the stock price, is the same as the dividend growth rate, so:
Capital gains yield = 6%
If w is 15 when z is 9, and w varies inversely with z, what is the value for z when w is 5?.
The value of z is 27 when the value of w is 5, when w varies inversely with z.
What is proportionality constant?The ratio of two proportional values at a constant value is the proportionality constant. When either the ratio or the product of two variables results in a constant, the connection between the two is proportional. The ratio between the two stated quantities affects the proportionality constant's value. Direct variation and inverse variation are two different sorts of this relationship.
Given that, w is 15 when z is 9, and w varies inversely with z.
This can be represented as:
w = k (1 /z)
where, k is the proportionality constant.
Substituting the value of w = 15 and z = 9 we have:
15 = k(1/9)
k = 15(9)
k = 135
Substituting the value of k and w = 5:
5 = 135(1/z)
z = 135/5
z = 27
Hence, the value of z is 27 when the value of w is 5.
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the sum of the first 9 terms of an AP is 56 and the sum of the next 10 terms is 430.find the first three terms of the AP.
The first three terms of the AP are -4.28, -7.28, -10.28
What is arithmetic sequence?An arithmetic sequence in algebra is a sequence of numbers where the difference between every two consecutive terms is the same.
Given that, the sum of the first 9 terms of an AP is 56 and the sum of the next 10 terms is 430. we need to find the first three terms of the AP.
The sum of the first n terms in an arithmetic sequence is (n/2)⋅(a₁+aₙ). It is called the arithmetic series formula.
Therefore,
56 = 9/2(2a₁+(9-1)d)
12.44 = 2a₁+7d
2a₁ = 12.44-7d....(i)
430 = 19/2(2a₁+18d)
45.26 = 2a₁+18d
2a₁ = 45.26-18d....(ii)
Equating the RHS of the equations,
12.44-7d = 45.26-18d
11d = 32.82
d = 3
Put d = 3, in equation (i)
2a₁ = 12.44-7(3)
2a₁ = -8.56
a₁ = -4.28
Therefore, the next three terms = -4.28, -7.28, -10.28
Hence, the first three terms of the AP are -4.28, -7.28, -10.28
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if cos x =1/5 , then what is the positive value of tan 1/2x, in simplest radical form with a rational denominator?
Answer: the positive value of tan(1/2x) in simplest radical form with a rational denominator is √(2/3).
Step-by-step explanation:
Using the half-angle formula for tangent, we have:
tan(1/2x) = ±√((1-cos(x))/(1+cos(x)))
Substituting cos(x) = 1/5, we get:
tan(1/2x) = ±√((1-1/5)/(1+1/5))
= ±√(4/6)
= ±√(2/3)
Since we are looking for the positive value, we have:
tan(1/2x) = √(2/3)
Therefore, the positive value of tan(1/2x) in simplest radical form with a rational denominator is √(2/3).
Answer:
Step-by-step explanation:
sin(x)=sqrt(24)/5=2*sqrt(6)/5
tan(x/2)=sin(x)/(1+cos(x))
Thus, tan(x/2)=sqrt(6)/3
Feb 17 A zoo feeds its monkeys a mixture of fruits and biscuits. The diagram shows the ratio of fruit n mass to biscuit mass. Ratios with tape diagrams The table shows the mass, in grams, of fruit and biscuits that the zoo fed two of the monkeys. Monkey A Fruit mass Based on the ratio, complete the missing values in the table. B Biscuit mass Fruit mass (g) Biscuit mass (g) 28 45
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Answer:
Fruit mass = 63.2 g
Biscuit mass = 94.8 g
Step-by-step explanation:
Since the ratio of fruit mass to biscuit mass is 2:3, the fraction of fruit mass to the total of fruit and biscuit mass is 2/5 and the fraction of biscuit mass to the total of fruit and biscuit mass is 3/5.
For Monkey A, the total of fruit and biscuit mass is 73 g, which means that the fraction of fruit mass is 2/5 × 73 g = 29.2 g and the fraction of biscuit mass is 3/5 × 73 g = 43.8 g. Therefore, the values for fruit mass and biscuit mass are:
Fruit mass = 29.2 g
Biscuit mass = 43.8 g
For Monkey B, the total of fruit and biscuit mass is 73 + 85 = 158 g, which means that the fraction of fruit mass is 2/5 × 158 g = 63.2 g and the fraction of biscuit mass is 3/5 × 158 g = 94.8 g. Therefore, the values for fruit mass and biscuit mass are:
Fruit mass = 63.2 g
Biscuit mass = 94.8 g
Blooming Flower Company was started in Year 1 when it acquired $60,000 cash from the issue of common stock. The following data summarize the company’s first three years’ operating activities. Assume that all transactions were cash transactions.
The recording of the transactions in the Blooming Flower Company for the Year 1 . The amount of depreciation expense on its Year 1 Income Statement is $9,000.
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
The Data Analysis as follows;
Cash $60,000 Common Stock $60,000
Equipment $40,000 Cash $40,000
Cash $72,000 Sales Revenue $72,000
Salaries Expense $25,000 Cash $25,000
Depreciation Expense - $9,000
Accumulated Depreciation $9,000 means ($40,000 - $4,000)/4
Now we have
Transaction Balance Sheet Income Statement StatemenCashFlows
Assets = Liabilities + Equity
Revenue - Expense = Net Income
1. +$60,000 = $0 + $60,000 FA
2. +40,000 - 40,000 IA
3. +72,000 = $0 + 72,000 +$72,000 OA
4. -25,000 = $0 - 25,000 - 25,000 OA
5. -9,000 = $0 - 9,000 - 9,000 N/A
$98,000 = $0 $98,000 $72,000 - $34,000 = $38,000
Where FA = Financing activity
IA = Investing activity
OA = Operating activity
N/A = Not applicable
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