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1.Module 5 - Practice Question Mr. Jay Brown is 66 years of age and his 2020 income is made up of ...

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income of $75,800, contributed $6,500 to his RRSP. He also earned interest
income from Guaranteed Investment Certificate (GIC) of $3,700 during 2020 and
received Old Age Security benefits of $7,400 (because of large business losses
during the previous two years, no amount was withheld from the OAS payments).
Mr. Brown and his family live in Toronto, Ontario. For 2020, Mr. Brown’s
employer withheld maximum CPP ($2,898) and EI ($856) contributions. Other
information pertaining to 2020 is as follows:
1. Mr. Brown’s spouse is 59 years old and qualifies for the disability tax credit.
Her income for the year totaled $4,500.
2. Mr. and Mrs. Brown have two daughters, Keith, aged 15 and Laura, aged
17. Keith had income of $2,700 for the year while Laura had net income of
$3,000. In September 2020, Laura began full time attendance at a Canadian
university. Mr. Brown paid her tuition fees of $6,000, of which $3,500 was
for the fall 2020 semester. Laura is willing to transfer her tuition credit to
her father.
3. The family medical expenses for the year, all of which were paid by Mr.
Brown, totaled $3,845. Of this amount, $300 was paid for Keith and $900
for Laura.
4. During the year, Mr. Brown made cash donations to registered Canadian
charities in the amount of $2,000.
5. During the year, Mr. Brown made contributions to federal political parties
totaling $1,800.
Required: Use the above information to determine Mr. Brown’s
- Clawback amount for the social benefit repayment
- Net income for tax purposes
- Federal tax payable before tax credit (Gross tax)
- Tax credits available
- Federal tax payable for 2020.

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ould be at least 500 words. The document should adhere to APA guidelines. Please state the question and then post your answer below the Question.
Q1. How does marketing research help in the marketing planning process? Use a hypothetical business (e.g. a small sporting goods store, local hardware manufacturing small business, an independent publishing company, etc.) to discuss how market research helps in compiling market intelligence with regard to aspects such as product decisions, customer segmentation decisions, brand and pricing decisions, keeping stakeholders happy.
Q2. NuVision Lens, a mail-order contact lens company has struggled to break even after being five years in the eyewear market. The company’s founders had thought that high demand would exist for mail-order supply as a low-cost alternative to purchasing contact lenses at optical outlets. However, the market share of NuVision continues to be much less than the retail stores. NuVision Lens has hired you as their marketing consultant. Outline the steps that you will take to formulate a problem statement and research objective on the above situation.
Q3. Your friend, Ms.Destiny Brown is the CEO and founder of ‘Hide and Chic’ an upscale leather goods store based in Houston, Texas. Ms. Brown is actively considering to expand her company’s product line to include sports accessories including golf gloves, premium quality leather grips for tennis, squash, racquetball, badminton rackets, leather sports bags, etc. She has hired you to undertake a marketing research study to determine whether a market exists among retail outlets and sporting goods distributors in Houston, for these specialty items under the ‘Hide and Chic’ brand name.
Define and describe the target population for this study?
Discuss the sampling methods that could be used in this study.
Recommend, with reasons, the most optimal sampling procedures for this study.
Q4. Farm Fresh Grocery’ (FFG) has always used paper bags for sacking groceries. However, management has noticed that some competitors are offering reusable bags to their customers. FFG management has asked you to find out if its current customers would prefer bringing the reusable bags every time they visit the FFG store. A) Select two projective techniques to use in your research. Give reasons for your choice. B) Describe in detail how your two chosen techniques would be applied to this research problem.

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two objects and recorded whether or not the dog being tested correctly chose the object indicated. A four-year-old male beagle named Augie participated in this study. He chose the correct object 42 out of 70 times when the experimenter leaned towards the correct object.
(a) (2 points) Let the parameter of interest, π, represent the probability that the long-run probability that Augie chooses correctly. Researches are interested to see if Augie understands human body cues (better than gussing).
Fill in the blanks for the null and alternative hypotheses.
H0 : Ha :
(b) (6 points) Based on the above context, conduct a test of significance to determine the p-value to investigate if domestic dogs understand human body cues. What conclusion will you draw with significance level of 10%? (If you use an applet, please specify which applet you use, and the inputs.)
(c) (5 points) Based on the above context, conduct a test of significance to determine the p-value to investigate if domestic dogs understand human body cues. What conclusion will you draw with significance level of 5%? (If you use an applet, please specify which applet you use, and the inputs.)
(d) (2 points) Are your conclusions from part (b) and (c) the same? If they are different, please provide an explanation.
(e) (5 points) Shown below is a dotplot from a simulation of 100 sample proportions under the assump- tion that the long-run probability that Augie chooses correct is 0.50. Based on this dotplot, would a 90% confidence interval for π contain the value 0.5? Explain your answer.
(f) (4 points) Compute the standard error of the sample proportion of times that Augie chose the object correctly.
1
(g) (5 points)
(h) (3 points) question?
(i) (4 points)
(j) (4 points) A.
B. C.
Construct an approximate 95% confidence interval for π using the 2SD method. What is the margin of error of the confidence interval that you found in the previous
How would you interpret the confidence interval that you found in part (g)?
Which of the following is a correct interpretation of the 95% confidence level?
If Augie repeats this process many times, then about 95% of the intervals produced will capture the true proportion of times of choosing the correct objective.
About 95% times Augie chooses the correct objective.
If Augie repeats this process and constructs 20 intervals from separate independent sam- ples, we can expect about 19 of those intervals to contain the true proportion Augie chooses the correct objective.
(k) (4 points)
object 21 out of 35 times.
Conjecture how, if at all, the center and the width of a 99% confidence interval would change with these data, compared to the original 2SD 95% confidence interval.
The center of the confidence interval would . The width of the confidence interval would .
(l) (4 points) Suppose that we repeated the same study with Augie, and this time he chose the correct object 17 out of 35 times, and we also change the confidence level from 95% to 99%. Conjecture how, if at all, the center and the width of a 99% confidence interval would change with these data, compared to the original 2SD 95% confidence interval.
Suppose that we repeated the same study with Augie, and this time he chose the correct
The center of the confidence interval would The width of the confidence interval would
.
.

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hin a free demo session as I have my answers, but just want to confirm them, that would be greatly appreciated.
Question 1:
A block of mass M = 0.10 kg is attached to one end of a spring with spring constant k = 100 N/m . The other end of the spring is attached to a fixed wall. The block is pushed against the spring, compressing it a distance x = 0.04 m . The block is then released from rest, and the block-spring system travels along a horizontal, rough track. Data collected from a motion detector are used to create a graph of the kinetic energy K and spring potential energy Us of the system as a function of the block's position as the spring expands. How can the student determine the amount of mechanical energy dissipated by friction as the spring expanded to its natural spring length?
Question 2:
The Atwood’s machine shown consists of two blocks connected by a light string that passes over a pulley of negligible mass and negligible friction. The blocks are released from rest, and m2 is greater than m1. Assume that the reference line of zero gravitational potential energy is the floor. Which of the following best represents the total gravitational potential energy U and total kinetic energy K of the block-block-Earth system as a function of the height h of block m1?
Question 3:
A 2 kg block is placed at the top of an incline and released from rest near Earth’s surface and unknown distance H above the ground. The angle θ between the ground and the incline is also unknown. Frictional forces between the block and the incline are considered to be negligible. The block eventually slides to the bottom of the incline after 0.75 s. The block’s velocity v as a function of time t is shown in the graph starting from the instant it is released. How could a student use the graph to determine the total energy of the block-Earth system?
Question 4:
A block slides across a flat, horizontal surface to the right. For each choice, the arrows represent velocity vectors of the block at successive intervals of time. Which of the following diagrams represents the situation in which the block loses kinetic energy?

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rential equation:
dy / dt = py (100000 - y)
Where: y is the number of infected people at time t (measured in weeks) and p = 0.00001. If 10 people were ill, determine y as a function of t. How long will it take before half the population is infected?

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bacteria). Obligatory anaerobes require absence of oxygen.
You are researching how a facultative anaerobe transitions from anaerobic to aerobic respiration along the length of the human intestine (small and large intestine), where oxygen levels – and with them respiration - vary from atmospheric levels of oxygen (aerobic respiration) to no oxygen (anaerobic respiration).
You grow cultures of a facultative anaerobic bacteria in flasks with different levels of oxygen that mimic the conditions in the 7.5m long human intestines and collect data on the growth rates of the bacteria (number of bacterial colonies) under the different conditions. Time food spends in the small intestine, 2.5m long, is 4 hrs. The time taken for food to pass through the entire length of the intestine is between 24 and 72 hrs.
To determine oxygen levels in your flasks, you use the ratio of oxygen to nitrogen, which you vary between 0 (no oxygen) and 0.25 (atmospheric levels of oxygen). You assume that for conditions where r<0.01 your bacteria will be obligatorily anaerobic, and aerobic respiration will be observed from r=0.05.
If the oxygen ratio goes from 0.25 to 0 over 7.5 m, and rO2 = 0.25 – 0.03x (x=distance along the intestine) describes the relationship between oxygen ration and the length of path travelled by the bacteria in the intestine, how long will it take bacteria to pass from the small into the large intestine? Explain how you arrived at your estimate.

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function
C = 65t + 30
where t is the time in months.
(a) Calculate the gym membership cost over a six month period.
(b) Sketch the graph of the function C = 65t + 30 for t ≥ 0.
(c) Calculate the time, t, in months, when the total cost reaches 290 AUD.
In the neighbouring Nicolo’s Gym, the initial payment is 75 AUD higher than in
Paolo’s Gym, however the monthly fee is lower at 30 AUD per month.
(d) Determine the number of months it takes for the total cost to be less by
attending Nicolo’s Gym in comparison to Paolo’s Gym.

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van and Alex, have the same productivities: Sylvan is identical to Rajan, while Alex
and Esther are identical.
Esther and Rajan both engage in market work. Sylvan works full time at home, so only Alex works in the
market.
a) Given this information, which couple has the higher opportunity cost of home produced goods?
Explain how you determined this. You can add a diagram if that helps, but you are not required
to include one.
b) Can you determine which couple has the higher utility? Explain why or why not.
Suppose now that value of market production for both Alex and Esther increased to $12/per hour.
c) Explain the change in the household joint production possibility frontier generated by this
change.
d) Explain what would happen to each couple’s choice of both household and market produced
goods, using an analysis by means of income and substitution effects.
e) What changes in time allocation for each couple that would be necessary to produce and
consume this new bundle? Briefly explain your reasoning.

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time a bag of chips remains fresh on the grocery shelf. A random sample of potato chips with the old design of the bag was compared to a random sample of potato chips with the new bag. Summary statistics pertaining to the number of days the chips remained fresh are given below. At a 95% level of confidence (α = .05), the company wishes to investigate if the new bag has an increased freshness time over the old bag.
Summary Statistics
New Bag Old Bag
(Sample #1) (Sample #2)
Sample Mean 21.2 days 20.8 days
Sample Standard Deviation 2.5 days 2.8 days
Sample Size 45 50
What is the correct Null and Alternate Hypothesis?
Select one:
a. H_0: \mu_d>0\;\; H_1: \mu_d < 0
b. H_0: \mu_1>\mu_2 \;\;H_1:\mu_1 \leq \mu_2
c. H_0: \mu_d =0\;\; H_1: \mu_d < 0
d. H_0: \mu_1\leq\mu_2 \;\;H_1:\mu_1 > \mu_2

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10.1. A ball is thrown with an initial speed of 20 m/s at an angle of 60° to the ground. ...

ance is negligible, what is the ball’s speed at the instant it reaches its maximum height from the ground?
A. - 20 m/s
B. 0 m/s
C. + 17.3 m/s
D. + 10 m/s
E. + 20 m/s
2. A rhino charges full speed at a car with an initial velocity of 15 m/s. When the rhino collides with the car, it crumples in by 1 m before the rhino comes to a complete stop. What acceleration did the rhino feel as it came to a stop?
A. - 112.5 m/s^2
B. - 7.5 m/s^2
C. - 30 m/s^2
D. + 112.5 m/s^2
E. + 30 m/s^2
F. + 7.5 m/s^2
3. Two students want to determine the speed at which a ball is released when thrown vertically upward into the air. One student throws the ball into the air while the other student measures the total time that the ball is in the air. The students use a meterstick to measure the release height of the ball. Which of the following equations should the students use to determine the speed at which the ball was released? *
A. Use y final = y initial+ v initial *t + (1/2)*a*t^2 from the moment in time in which the ball was released to the moment in time in which the ball reaches its highest point.
B. v final^2 = v initial ^2 + 2a(????y) from the moment in time in which the ball was released to the moment in time in which the ball hits the ground.
C. Use y final = y initial+ v initial *t + (1/2)*a*t^2 from the moment in time in which the ball was released to the moment in time in which the ball hits the ground.
D. v final^2 = v initial ^2 + 2a(????y) from the moment in time in which the ball was released to the moment in time in which the ball reaches its highest point.

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11.1. Paul wonders what it would be like to own a house of his own within five years. He now rents ...

o-bedroom apartment with a friend. He pays half the $740 monthly rent. A two-bedroom bungalow on his street is for sale with an asking price of $107 900 and has annual property taxes of approximately $2800.
a) a. As a first time homebuyer, Paul would need a 5% downpayment. Calculate this amount.
b) How much would Paul need to save each month to have the down payment saved is 5 years? Is this amount and the time period reasonable? Explain.
c. Use a TVM Solver to determine the monthly mortgage payment for this house, less the down payment. Assume the interest rate is 6% per year and the mortgage is amortized over 25 years.
d) Calculate the monthly payment to the bank for the mortgage plus the monthly portion of the property taxes.
e) e. Bills from the current owners show that electricity averages $180 every two months, natural gas averages $115 per month, and water averages $260 every four months. Calculate the average monthly utility expenses for the house.

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n, I completed parts A and B, but can't get C. We get all the answers to the questions but not how to get to the answer. The question is:
Patrick changes velocity from 2.0 m/s North to 4.0 m/s South with an acceleration of 0.50 m/s/s South. (A) Determine how much time this process takes (ANSWER: 12 s). (B) Find his displacement (magnitude and direction) (ANSWER: 12 m South). (C) Find how much distance Patrick covered (ANSWER: 20 m).
Another question I was having trouble with was this (I got part A but not parts B or C):
Two cars are traveling along a straight line in the same direction, the lead car at 25.0 m/s and the other car at 30.0 m/s. At the moment the cars are 40.0 m apart, the lead driver applies the brakes, causing his car to have an acceleration of -2.00 m/s/s. (A) How long does it take for the lead car to stop? (ANSWER: 12.5 s). (B) Assuming that the chasing car brakes at the same time as the lead car, what must be the chasing car's minimum negative acceleration so as not to hit the lead car? (ANSWER: -2.29 m/s/s). (C) How long does it take for the chasing car to stop? (ANSWER: 13.1 s).

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ed in Earth years), required for a planet to orbit the Sun varies directly with the cube of the mean distance, a (measured in billions of miles), that the planet is from the Sun.
A) Use Uranus’s time of 84 and mean distance of 1.784 billion miles, find the equation relating T and a.
B) Use the result from part a. to determine the time required for Pluto to orbit the Sun if its mean distance is 3.67 billion miles.

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ed in Earth years), required for a planet to orbit the Sun varies directly with the cube of the mean distance, a (measured in billions of miles), that the planet is from the Sun.
A) Use Uranus’s time of 84 and mean distance of 1.784 billion miles, find the equation relating T and a.
B) Use the result from part A. to determine the time required for Pluto to orbit the Sun if its mean distance is 3.67 billion miles.

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rmine size of piping for a water, wastewater, and stormwater system for an addition to a building on our campus. I am given maps of the existing conditions. I have calculated the new water demand which has to be used to determine the size of the pipes, though I am not completely sure if I did that right. I have a lot of information which I have compiled into a one drive file that I can share. I am able to help provide any information that is necessary since I am familiar with what the files contain. I have attached a document which explains everything that I need to do. I am able to use the existing network for the most part so routing of it should be easy. The part I am unsure about is determining the size of the pipes. For the water, I believe I can use mannings equation. For wastewater, I am unsure. For stormwater, I am to use the rational method and I have an excel tool which makes that easy for someone who knows what they are doing. Please help ASAP. I have to be done with this before tuesday afternoon. I am in central time zone(11:20pm right now).

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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics