South Africa reported the number of people employed by sector in a given year as follows (in thousands) 6 678 in the formal business sector (excluding agriculture), 1 492 in the commercial agricultural sector, 653 in subsistence agriculture: 2 865 in the informal business sector and 914 in the domestic service sector Construct a percentage frequency distribution of employment by sector If an employed person is selected at random from the workforce, what is the likelihood that the person earns a living through agriculture?

Answers

Answer 1

The probability that an employed person earns a living through agriculture is ≈ 17%.

The frequency is the number of times the data appear within each category.

A percentage frequency distribution is used to summarize data and report on the proportion or percentage of observations that fall within a specified category.

It is the process of showing how often a particular value or category occurs in a set of data.

In order to create a percentage frequency distribution, we will first add all the values together:

Total number of people employed = 6,678 + 1,492 + 653 + 2,865 + 914

= 12,602

Now we can calculate the percentage of people employed in each sector:

Formal business sector =

(6,678 / 12,602) x 100% = 53.0%

Commercial agricultural sector =

(1,492 / 12,602) x 100% = 11.8%

Subsistence agricultural sector =

(653 / 12,602) x 100% = 5.2%

Informal business sector =

(2,865 / 12,602) x 100% = 22.7%

Domestic service sector =

(914 / 12,602) x 100% = 7.3%

The likelihood that an employed person earns a living through agriculture can be calculated by adding the number of people employed in the commercial agricultural sector and the number of people employed in subsistence agriculture.

This gives a total of 2,145 people employed in agriculture.

Therefore, the probability that a person earns a living through agriculture is:

Probability = (2,145 / 12,602) x 100% ≈ 17%

The probability that an employed person earns a living through agriculture is ≈ 17%.

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Related Questions

Can someone please respond to this

Answers

Answer:

that's easy, use the 6969 equation, with a some 420's and that will do it

PLEASE HELP for a TEST EXPLAIN ANSWER pls give you brainlest!!!!

Answers

Answer:

B

Step-by-step explanation:

Answer:

a-4

Step-by-step explination:

hope this helps!

residents of the town smithfield like to consume pizzas, but each pizza requires 10 people to produce it and takes a month. if the town has a total of 100 people, what is the maximum amount of pizza the residents can consume in a year?

Answers

The number of pizzas the people of the town will produce in a year, obtained using the simple mathematical operations, is 120 pizzas.

What are mathematical operations?

Mathematical operations include operations of additions, subtraction, division, and multiplication.

The number of pizzas produced in a year can be obtained using mathematical operations as follows;

The number of people required to produce one pizza in a month = 10 people

The number of people in the town = 100 people

The number of pizza'a that the people in the town can produce in a month is therefore;

Number of pizza's produced in a month  = 100/10 = 10

The number of months in a year = 12 months

The number of pizzas the people in the town can produce in a year = 10 × 12 = 120 pizzas

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Let A and B be disjoint compact subspaces of a Hausdorff space X. Show that there exist disjoint open sets U and V, with A⊂U and B⊂V.

Answers

In Hausdorff-space "X", if A and B are disjoint "compact-subspaces", then there exist disjoint "open-sets" U and V such that A is contained in U and B is contained in V, because Hausdorff property ensures the existence of disjoint open neighborhoods for any two distinct points.

To prove existence of disjoint "open-sets" U and V with A⊂U and B⊂V, where A and B are "compact-subspaces" (disjoint) of "Hausdorff-space" X, we use the steps:

Step (1) : Since A and B are disjoint compact subspaces, we use the Hausdorff property to find open sets Uₐ and [tex]U_{b}[/tex] such that A⊂Uₐ and B⊂[tex]U_{b}[/tex], and Uₐ∩[tex]U_{b}[/tex] = ∅. This can be done for every pair of points in A and B, respectively, since X is Hausdorff.

Step (2) : Consider the set U = ⋃ Uₐ, where "union" is taken over all of Uₐ for each point in A. U is = union of "open-sets", hence open.

Step (3) : Consider the set V = ⋃ [tex]U_{b}[/tex], where union is taken over for all [tex]U_{b}[/tex] for "every-point" in B. V is also a union of open-sets and so, open.

Step (4) : We claim that U and V are disjoint. Suppose there exists a point x in U∩V. Then x must be in Uₐ for some point a in A and also in [tex]U_{b}[/tex] for some point b in B. Since A and B are disjoint, a and b are different points. However, this contradicts the fact that Uₐ and [tex]U_{b}[/tex] are disjoint open sets.

Therefore, U and V are disjoint open sets with A⊂U and B⊂V.

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Find the sum of all the two-digit numbers that divide 170 with a remainder of 5.

WILL MARK BRAINLIEST IF ITS RIGHT!!! PLEASE HELLPP!!!!!

Answers

Answer:

114

Step-by-step explanation:

To find - Find the sum of all the two-digit numbers that divide 170 with a remainder of 5.

Proof -

The 2 digit number is 11

170 = 11(15) + 5

The two digit number is 15

170 = 15(11) + 5

The two digit number is 33

170 = 33(5) + 5

The two digit number is 55

170 = 55(3) + 5

∴ we get

The two digit numbers are

11, 15, 33, 55

Their sum is equals to

11 + 15 + 33 + 55 = 114

LOOK RIGHT HERE! HELP FASSST EMERGENCY! Don't go past go to this question right here and no Decimal answers plz. Thanks the answer is not 144 BTW. Thank you.

Answers

Answer: 140cm^3

Step-by-step explanation:

What is the value of f(x) = 4x -9

Answers

Answer:

i believe its ()=4−9

Step-by-step explanation:

Answer:

f=4x-9

Step-by-step explanation:

f(x) = 4x-9

f(x)= 4x-9

x         x

f=4x-9


Which of the following number lines best represents the value, 144/2

Answers

Answer:

C

Step-by-step explanation:

sqrt of 144 is 12

then 12 divided by 2 is 5

C has the point of 6

8-2(4×3-5)
does this equal -4?​

Answers

Answer:

-6

Step-by-step explanation:

Answer:

No -6

Step-by-step explanation:

Suppose the random variables X and Y have the following joint PDF: fxy(x, y) = cxy ,0 < x < b < 1 Determine the value of c.

Answers

The random variables X and Y have the value of c is  2/b².

Considering that the joint PDF of X and Y as fxy(x, y) = cxy ,0 < x < b < 1. Integrating the given PDF over its domain is necessary in order to determine the value of c. To find the worth of c, we utilize the accompanying integral:∫∫fxy(x, y)dxdy = 1,where the mix is done over the whole area of x and y. Therefore, cxy dxdy = 1. (1) For x, the integration limits are (0 to b) and for y, they are (0 to 1).

Therefore, by substituting these limits into equation (1), we obtain: 01 0b cxy dxdy = 1 c * [x2/2]0r1[y2/2]0rb = 1 c = 2 / b2 The value of c is therefore 2/b².

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The population of a city and 2005 was 18,000. By 2010, the cities population has grown to 32,800. It’s a population grows flow a linear model, what is the projected population for 2015?

Answers

Answer:

47,600

Step-by-step explanation:

The rate is (32,800 - 18,000) = 14,800 per 5 years  

therefore :  

in 2015 = 2010 + 5 years  

the pop. will be :  

32,800 + 14,800 = 47,600  

The answer is 47,600.

Hope this helped :)

If Lin runs 21 laps at the same rate, how long does it take her?
minutes

Answers

25 minutes. Or 25.5. Hope it helps.

A map has a scale of 1 inch : 40 miles. Use the given map distance to find the actual distance.

1.) 12 inches
2.) 1 foot

Answers

If it is 1/40 as the ratio then multiple the top by 12 and bottom by 12 to get 480 miles

Answer:

480 miles

Step-by-step explanation:

If one inch equals 40 miles, then 12 times that would be 4800 miles.

1 Inch          12 Inches

---------- =  ------------------

40 Miles     480 Miles.

Let p, q, and r be the propositions You get an A on the final exam. You do every exercise in this book. You get an A in this class. p 9: r: (3 pts) Express as an English sentence: q-p b) (p) Express as an English sentence: ar - (-p A-q) Pe 2 c) (4 pts) Write the proposition below using the propositions p, q or r as well as logical connectors (including negation): "To get an A in this class or get an A on the final exam, you need to do every exercise in the book." 7. (pt) Use truth table to determine whether [-p Apv q)] →q is a tautology. (you may not need to use all the rows and columns available below.) 8. (4 pts) Use truth table to determine whether [(pv q) Apr)^(q→r)] →r (you may not need to use all the rows and columns available below.) is a tautology.

Answers

q - p can be expressed as "If you do every exercise in this book, then you get an A on the final exam."

¬(p ∨ ¬q) can be expressed as "You need to do every exercise in this book and not get an A on the final exam."

The proposition "To get an A in this class or get an A on the final exam, you need to do every exercise in the book" can be written as "(r ∨ p) → q."

q - p: This proposition states that if you do every exercise in this book (q), then you get an A on the final exam (p).

¬(p ∨ ¬q): This proposition states that you need to do every exercise in this book (q) and not get an A on the final exam (¬p).

"(r ∨ p) → q": This proposition expresses that to get an A in this class (r) or get an A on the final exam (p), you need to do every exercise in the book (q). It is a conditional statement, where the antecedent is (r ∨ p) and the consequent is q.

For the truth table analysis:

[-p ∨ (p ∧ ¬q)] → q: The truth table should be constructed using the propositions p, q, and r, along with logical connectors. However, the given proposition doesn't involve the proposition r, so it cannot be analyzed using the truth table.

[(p ∨ q) ∧ r) ∧ (q → r)] → r: The truth table should be constructed using the propositions p, q, and r, along with logical connectors. However, the given proposition doesn't involve the proposition p, so it cannot be analyzed using the truth table.

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yo i need help please i need the correct answer i will give u a brainliest to please just help me

Answers

Answer:

a

Step-by-step explanation:

Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. -3(x+1)+3x=-3(x-1)+3 Which method should Jeremy use? Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.

Answers

Answer:C

Step-by-step explanation:

I have taken a test and it was right sorry if it isn’t right

Answer:

C

Step-by-step explanation:

determine whether the equation has the form x=a, and if it does, the equation has one solution

Leo flips a paper cup 50 times and records how the cup landed each time. The table below shows the results.
RESULTS OF FLIPPING PAPER CUP
Outcome Right-side UP Upside Down On its Side
Frequency
10
18
22
Based on the results, how many times can he expect the cup to land on its side if it is flipped 1,000 times?
333
440
550
786
N
Previous

Answers

Answer:

440

Step-by-step explanation:

i did the test already

What is the product of 2b(b+11)? Show your work.

Answers

Answer:

 25

Step-by-step explanation:

Answer:

2b^2 + 22

Step-by-step explanation:

2b(b + 11)

2b ×b + 2 × 11

2b^2 + 22

A line passes through the points (-1, 10) and (3, 2). Which shows the graph of this line?
8
8
4
2
- 108
2
46
8 10
X
12
-8
-10
10
6

Answers

Answer:

C

Step-by-step explanation:

EDGE 2021

The rent for an apartment was $6,600 per year in 2012. If the rent increased at a rate of 4% each year thereafter, use an exponential equation to find the rent for the apartment in 2021

Answers

Answer:

$9,393.78

Step-by-step explanation:

Using the equation:

A = P(1+r)^t

Where,

A = final amount

P = initial amount = $6,600

r = rate of increase = 4% = 0.04

t = time in years = 9 years (2012-2021)

A = 6,600(1 + 0.04)^9

= 6,600(1.04)^9

= 6,600(1.4233)

= 9,393.78

A = $9,393.78

PLEASE HELP I AM BEING TIMED I NEED THE RIGHT ANSWER AND A EXPLAINTION PLEASE I WILL HIVE YOU THE CROWN

Answers

The answer for this problem is B

Answer:

B

Step-by-step explanation:

Dependent values would be the numbers on the y axis

A sprinkler waters a circular area. The sprinkler sprays 30 gallons of water per minute.
Select as few quadrants as possible that would allow you to create a graph of the total number of gallons of water,
y, sprayed by the sprinkler after x minutes.
Quadrant 1
Quadrant 2
Quadrant 3
Quadrant 4

Answers

Answer:

Quadrant 1

Step-by-step explanation:

The number of gallons of water sprayed after x minutes would never be negative, nor would time be negative, so the first quadrant would be all that you need

Joseph's front porch is rectangular. The length is 8 feet more than the width. The
perimeter of the porch is 52 feet. What is the width of the porch?
A. 9 feet
B. 14 feet
C. 17 feet
D. 22 feet

Answers

It Hass to be definitely B because there’s no other way it’s leading up to a C or D so I’m gonna stick with my answer

Billy made 2 gallons of juice for a picnic. He said that he made
2
4
quarts of juice.

Answers

Answer:

2/4 quarts of juice is 0.125 Gallons of juice for

Step-by-step explanation:

Please Give Brainliest

Answer:

He divided instead of using multiplication

Step-by-step explanation:

Consider the following argument by analogy.

Some doctors recommend that people over the age of 40 should get a physical every year. As one physician argued, "People take their car in for servicing every few months without complaint. Why shouldn’t they take similar care of their bodies?" [U.S. News & World Report, Aug. 11, 1986]

Analyze and evaluate this argument by doing the following: 1) Identify the two things being compared (A and B) and the property P attributed to B in the conclusion. 2) Identify the (unstated) properties (S) that are supposed to make A and B similar. 3) Analyze the argument into its inductive and deductive elements. The deductive step with be a valid syllogism with a universal major premise. 4) Evaluate the inductive generalization in the inductive step: a) Consider its initial plausibility given our other knowledge; b) Look for additional positive instances besides the one stated; c) Look for counterexamples.

Answers

The argument draws an analogy between car servicing and regular physicals for people over 40, highlighting the need for preventive care and maintenance. The deductive step is a valid syllogism with a universal major premise, and the inductive generalization is plausible given the potential benefits of regular check-ups, although individual circumstances may vary.

1) In this argument by analogy, two things are being compared: A) taking a car in for servicing every few months, and B) getting a physical every year for people over the age of 40. The property P attributed to B in the conclusion is the need for regular care or check-ups.

2) The unstated properties (S) that are supposed to make A and B similar include the idea that both cars and bodies require regular maintenance to ensure proper functioning and longevity. The argument assumes that just as neglecting car maintenance can lead to breakdowns and costly repairs, neglecting regular physical check-ups can lead to health problems and potential medical issues.

3) The deductive step of the argument can be formulated as follows:

Major premise: Cars need regular servicing to prevent breakdowns and maintain optimal performance.

Minor premise: Bodies are similar to cars in the sense that they require regular check-ups to prevent health issues and maintain optimal well-being.

Conclusion: People over the age of 40 should get a physical every year.

4) The inductive generalization in the argument relies on the plausibility of the comparison between car maintenance and physical check-ups. To evaluate its validity, we can consider the following:

a) The initial plausibility of the generalization: Given our knowledge that regular check-ups can help detect health problems early and promote overall well-being, it is reasonable to argue that regular physicals are beneficial, similar to regular car servicing.

b) Additional positive instances: We can find support for the generalization by examining medical recommendations and practices that emphasize the importance of regular check-ups for preventive care.

c) Counterexamples: While some individuals may not experience health issues or see the need for frequent physicals, the argument assumes that the general population will benefit from regular check-ups.

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Consider a Markov chain with state space S = {1, 2, 3, 4, 5, 6} and transition probability matrix P = [ 0 0.5 0 0.1 0.4 0]
[ 0 1 0 0 0 0 ]
[ 0.3 0 0.2 0.1 0 0.4]
[0 0.7 0 0 0.3 0 ]
[0 0 0 0 1 0]
[0 0 0 0 0 1 ]
(a) Compute Pˣ. (b) If the process starts in state 3, what are the probabilities that it will be absorbed in state 2, state 5, and state 6, respectively?

Answers

a)Pˣ =  [tex]\begin{bmatrix}0.1 & 0.5 & 0.04 & 0.28 & 0.03 & 0.05\\0 & 1 & 0 & 0 & 0 & 0\\0.22 & 0 & 0.33 & 0.17 & 0.1 & 0.19\\0.7 & 0 & 0.43 & 0.3 & 0 & 0.57\\0 & 0 & 0 & 0 & 1 & 0\\0 & 0 & 0 & 0 & 0 & 1\end{bmatrix}[/tex]  in matrix form, using eigen-values.

b)state 2 is 0.75; state 5 is 0 and ;state 6 is 0.25.

a)In order to calculate the value of Pˣ, follow the below-given steps:

Step 1: Compute the eigen-values of the matrix P.

Here, we get λ = 1, λ = 0.6, λ = 0.4, λ = 0.1, λ = 0, λ = 0.

Step 2: Compute the eigen-vectors corresponding to each eigenvalue of the matrix P.

Step 3: Compute the diagonal matrix D and the transition matrix T. [tex]\begin{matrix}1 & 0 & 0 & 0 & 0 & 0\end{matrix}0.6[/tex]

[tex]\begin{matrix}0.58 & 0.25 & 0.72 & 0 & 0 & 0\end{matrix}0.4.[/tex]

[tex]\begin{matrix}0.07 & 0 & 0.04 & 0.7 & 0 & 0\end{matrix}0.1.[/tex]

[tex]\begin{matrix}0.35 & 0.75 & 0.56 & 0 & 1 & 0\end{matrix}0.[/tex]

[tex]\begin{matrix}0 & 0 & 0 & 0.3 & 0 & 1\end{matrix}[/tex]

Pˣ = T . Dˣ . T⁻¹

We get the following matrix as a result.  

Pˣ =  [tex]\begin{bmatrix}0.1 & 0.5 & 0.04 & 0.28 & 0.03 & 0.05\\0 & 1 & 0 & 0 & 0 & 0\\0.22 & 0 & 0.33 & 0.17 & 0.1 & 0.19\\0.7 & 0 & 0.43 & 0.3 & 0 & 0.57\\0 & 0 & 0 & 0 & 1 & 0\\0 & 0 & 0 & 0 & 0 & 1\end{bmatrix}[/tex]  

b)If the process starts in state 3,

the probability that it will be absorbed in state 2 is 0.75,

the probability that it will be absorbed in state 5 is 0, and

the probability that it will be absorbed in state 6 is 0.25.

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whats the answer to this?

Answers

Answer:

x=6

Step-by-step explanation:

6. You divide 3 by 0.25 to get the scale factor which is 12, then multiply this by 0.5 to get x

What method did you use? Why? Solve. for x: 47° 13​

Answers

Answer:

Step-by-step explanation:

Givens

You have the hypotenuse: 13

You seek the adjacent side: x

You have the angle enclosing the 2: 47 degrees.

The relationship is the Cosine

Solution

Cos(47) = opposite / hypotenuse

Cos(47) = 0.6820                            From your calculator

Cos(47) = x / 13                                Multiply both sides by 13

13*cos(47) = x

x=8.866

The U.S.A. Olympic Synchronized Swimming Team is designing a routine for their upcoming competition. From the center of the pool, they moved 2 feet to the right and 4 feet up to create the center of their formation (Point C). From the center of their formation, they then formed a circle that goes through a point 3 feet to the left and 4 feet up (Point D). What is the equation of the circle?

Answers

Answer:

The equation of the circle is;

(x - 2)² + (y - 4)² = 5²  

Step-by-step explanation:

We note that the general equation of a circle is given as follows;

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

The given parameters are;

The location of the center of the pool to the center of their formation = 2 feet to the right and 4 feet up from the center of the pool

The point through which the circle which they form goes through = A point 3 feet to the left and 4 feet up from the center of their formation

Taking the center of the pool as the origin of the coordinate plane system, we have;

The coordinate of the center of the circle = The coordinate of their motion from the center of the circle

∴ The coordinate of the center of the circle = (2, 4)

∴ (h, k) = (2, 4)

h = 2, k = 4

The coordinate of the point through which the circle passes = (2 - 3, 4 + 4) = (-1, 8)

∴ The length of the radius, 'r', can be found as, r = √((-3)² + 4²) = 5 or r = √((-1 - 2)² + (8 - 4)²) = 5

r = 5

The equation of the circle is therefore presented by substituting the values of 'h', 'k', and 'r', as follows;

(x - 2)² + (y - 4)² = 5².

The lifetime of an electronical component is to be determined; it is assumed that it is an ex- ponentially distributed random variable. Randomly, users are asked for feedback for when the component had to be replaced; below you can find a sample of 5 such answers (in months): 19,23,21,22,24.
Fill in the blanks below.

(a) Using the method of maximum likelyhood, the parameter of this distribution is estimated to λ = ________WRITE YOUR ANSWER WITH THREE DECIMAL PLACES .
(b) Let L be the estimator for the parameter of this distribution obtained by the method of moments (above), and let H be the estimator for the parameter of this distribution obtained by the method of maximum likelyhood. What comparison relation do we have between L and M in this situation? Use one of the symbols
< = or > to fill in the blank. L ________M

Answers

(a) Using the method of maximum likelihood, the estimated parameter of the exponential distribution is λ = 0.050.

(b) Comparing the estimators obtained by the method of moments (L) and the method of maximum likelihood (M), we have L < M.

(a) The maximum likelihood estimation involves finding the parameter that maximizes the likelihood function based on the given data. In this case, using the sample of replacement times (19, 23, 21, 22, 24), the estimated parameter λ of the exponential distribution is calculated to be 0.050.

(b) Comparing the estimators obtained by the method of moments (L) and the method of maximum likelihood (M), we can determine the relationship between them. In general, the method of maximum likelihood tends to provide more efficient and precise estimators compared to the method of moments. Therefore, we have L < M, indicating that the estimator obtained by the method of maximum likelihood (M) is expected to be greater than the estimator obtained by the method of moments (L) in this situation.

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in the movie crash, the character played by rapper ludacris complains to his friend that they are unfairly mistrusted and feared, just because they are black. the two of them then pull out guns and carjack a white couple. which theory could this deliberately jarring plot twist be used to illustrate? What is the size relationship between the mean and the median of a data set? O A. The mean can be smaller than, equal to, or larger than the median. OB. The mean is always equal to the median. OC. The mean is always more than the median. O D. The mean is always less than the median. O E none of these A company had a tractor destroyed by fire. The tractor originally cost $134,000 with accumulated depreciation of $68,100. The proceeds from the insurance company were $94,500.The company should recognize:a. A gain of $28,600.b. A gain of $65,900.c. A gain of $94,500.d. A loss of $65,900.e. A loss of $28,600. What should be the role(s) of the media in our society (a watch dog, provide political analysis, entertainment, sports, all of these, none of these, other roles, etc.)? 2. Are there particular media outlets (networks, cable channels, magazines, newspapers, websites, etc.) that do a "good job" of fulfilling the role(s) you stated in Question 1? Any that don't live up to your expectations? An engineer working for a large agribusiness has developed two types of soil additives he calls Add1 and Add2. The engineer wants to estimate the difference between the mean yield of tomato plants grown with Add1 and the mean yield of tomato plants grown with Add2. The engineer studies a random sample of 12 tomato plants grown using Add1 and a random sample of 13 tomato plants grown using Add2. (These samples are chosen independently.) When he harvests the plants he counts their yields. These data are shown in the table. Yields (in number of tomatoes) Add1 162, 168, 175, 167, 181, 180, 187, 171, 167, 191, 166, 172 Add2 178, 185, 185, 227, 145, 202, 218, 211, 156, 164, 173, 194, 166 Send data to calculator V Assume that the two populations of yields are approximately normally distributed. Let be the population mean yield of tomato plants grown with Add1. Let be the population mean yield of tomato plants grown with Add2. Construct a 90% confidence interval for the difference . Then find the lower and upper limit of the 90% confidence interval. Carry your intermediate computations to three or more decimal places. Round your answers to two or more decimal places. (If necessary, consult a list of formulas.) ? Suppose the average income for consumers of a product increased from $80,000 per year to $84,000 per year. And suppose this causes the number of units sold of this product to increase from 32,000 to 33,000. (a) Calculate the income elasticity of demand for this product. (b) Is this product a normal good or an inferior good? a 15.50 gram ice cube at 0.00c is left out on the counter. after a couple of hours, it absorbs 6,667 joules of heat. what is the final temperature of the water remaining? Use the following information to answer the next two questions. Consider the Phillips curve t=-(Ut-U*) with =1.5, u*=0.06, and n=0.05. Suppose that uo-u*. Suppose the current government pressures the RBA to bring the economy to an unemployment rate of 0.04 for the next period. With adaptive expectations, what inflation rate should the RBA target? A 0.100 M oxalic acid, HO2CCO2H, solution is titrated with 0.100 M KOH. Calculate the pH when 25.00 mL of oxalic acid solution is titrated with 35.00 mL of NaOH. Ka1 = 5.4 102 and Ka2 = 5.42 105 for oxalic acid. Write a function that receives a StaticArray that is sorted in order, either non-descending or non-ascending. The function will return (in this order) the mode (most-occurring value) of the array, and its frequency (how many times it appears). If there is more than one value that has the highest frequency, select the one that occurs first in the array. You may assume that the input array will contain at least one element and that values stored in the array are all of the same type (either all numbers, or strings, or custom objects, but never a mix of these). You do not need to write checks for these conditions. For full credit, the function must be implemented with O(N) complexity with no additional data structures being created. A thin, rectangular sheet of metal has mass M and sides of length a and b. Use the parallel-axis theorem to calculate the moment of inertia of the sheet for an axis that is perpendicular to the plane of the sheet and that passes through one corner of the sheet. Losses from which of the following entities are carried forward at the entity level?a.C corporationb.S corporationc.LLCd.Sole proprietorship Olga migrated to Australia with her husband and two childrenfrom Russia one year ago. Her command of English is poor, and shehas little understanding of everyday business matters. While homealone, 1. Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.)f''(x) = 32x3 15x2 + 8x, f(x)=2.Find f.f''(x) = 2 + 24x 12x2, f(0) = 7, f'(0) = 16f(x)=3. Find f.f''(x) = 20x3 + 12x2 + 6, f(0) = 7, f(1) = 7f(x)=4. A high-speed bullet train accelerates and decelerates at the rate of 10 ft/s2. Its maximum cruising speed is 105 mi/h. (Round your answers to three decimal places.)(a) What is the maximum distance the train can travel if it accelerates from rest until it reaches its cruising speed and then runs at that speed for 15 minutes?(b) Suppose that the train starts from rest and must come to a complete stop in 15 minutes. What is the maximum distance it can travel under these conditions?(c) Find the minimum time that the train takes to travel between two consecutive stations that are 52.5 miles apart.(d) The trip from one station to the next takes at minimum 37.5 minutes. How far apart are the stations? hitchcock preferred a situation of normality in his settings.True or False Find the future value and the compound interest amount on $1845.00 invested at 12.45% compounded monthly for 15 years.Select one:a. FV = $ 11,826.681Interest = $ 9981.681b. FV = $ 11,834.87Interest= Cannot findc. FV = $ 11,826.681Interest= 1.037d. FV = $ 10,000Interest = $ 8155 Intro Lugget Corp. has one bond issue outstanding with an annual coupon of 4.1%, a face value of $1,000 and a price of $1,008.11, which matures in 10 years. The company's tax rate is 25%. Part 1 What Using the financial ratios provided, analyse the performance of Company X in 2021 compared to the previous year.On 1 Jan 2019, Don Company purchased a machine for $100,000. The machine was estimated to have a useful life of 5 years with no residual value.On 1 Jan 2021, the company determined that, due to advances in machinery maintenance, the total useful life of machine would be 7 years.On 1 Jan 2022, the company traded in the machine and paid $20,000 for a new machine. There was no gain or loss on the exchange of machine.The company uses the straight-line method of depreciation and the companys financial year ends 31 Dec.Compute the depreciation expense. Accumulate depreciation and net book value of the machine for the years 2019, 2020 and 2021, Show workings.Present journal entries to record the trade-in of the old machine for the new machine.Explain the concept of depreciation and why it requires the use of judgement and estimates. answer plsConsider the following account balances of Mark, Inc., as of December 31, Year 3: Accounts Payable $298,500 Retained Earnings Equipment Common Stock Income Tax Payable 1,054,000 Notes Payable, due Yea 1. QPR stockbroker offers short selling facility to investors with 50% initial margin and 25% minimum margin. If subjected to a margin call, the investor must deposit some fund to return the position to minimum margin. You do short selling of 100,000 QPR stocks at the price of $1,000/stock. At what price are you subjected to a margin call?a. $1,100b. $1.250c. $1,200d. $1,1672. YXX stockbroker offers investors financing to buy stocks with the following requirements - Initial Margin: 50%; Minimum Margin: 20%; If subjected to a margin call, the investor must deposit some fund to repay part of his debt and return the position to minimum margin. You buy 100,000 WXX stocks at the price of $1,000/stock using the margin facility. If WXX stock price drops to $600, how much Rp do you have to deposit to meet the minimum margin call?a. $2 millionb. $1.6 millionc. $1.2 milliond. $0.8 millionHow much $?