Your client is 27 years old. She wants to begin saving for retirement, with the first payment to come one year from now. She can save $2,000 per year, and you advise her to invest it in the stock market, which you expect to provide an average return of 8% in the future.

1. If she follows your advice, how much money will she have at 65? Do not round intermediate calculations. Round your answer to the nearest cent.

   $  

2. How much will she have at 70? Do not round intermediate calculations. Round your answer to the nearest cent.

   $  

3. She expects to live for 20 years if she retires at 65 and for 15 years if she retires at 70. If her investments continue to earn the same rate, how much will she be able to withdraw at the end of each year after retirement at each retirement age? Do not round intermediate calculations. Round your answers to the nearest cent.

   Annual withdrawals if she retires at 65: $

   Annual withdrawals if she retires at 70: $

On December 27, 2018, Oriole Windows purchased a piece of equipment for $102,000. The estimated useful life of the equipment is either three years or 50,000 units, with a residual value of $12,000. The company has a December 31 fiscal year end and normally uses straight-line depreciation. Management is considering the merits of using the units-of-production or diminishing-balance method of depreciation instead of the straight-line method. The actual numbers of units produced by the equipment were 8,500 in 2019, 16,000 in 2020, and 24,500 in 2021. The equipment was sold on January 5, 2022, for $15,000.

Calculate the depreciation for the equipment for 2019 to 2021 under

Two point charges of charge Q = 19 nC and mass m = 27 g are 31 cm apart. One of them is let go. Gravity should be ignored. What will its speed be when it has moved 26 cm?

Question One

John is a 27-year old who is a foodservice manager at a casual dining restaurant. He is responsible for supervising and managing all employees in the back of the house. Employees working in the back of the house range in age from 16 years old to 55 years old. In addition, the employees come from diverse cultural and ethnic backgrounds. For many, English is not their primary language. John is Safe Serve certified and tries his best to keep up with food safety issues in the kitchen but he admits it’s not easy. Employees receive “on the job training” about food safety basics (for example, appropriate hygiene and handwashing, time/temperature, and cleaning and sanitizing). But with high turnover of employees, training is often rushed and some new employees are put right into the job without training if it is a busy day. Eventually, most employees get some kind of food safety training. The owners of the restaurant are supportive of John in his food safety efforts because they know if a food safety outbreak were ever linked to their restaurant; it would likely put them out of business. Still, the owners note there are additional costs for training and making sure food is handled safely. One day John comes to work and is rather upset even before he steps into the restaurant. Things haven’t been going well at home and he was lucky to rummage through some of the dirty laundry and find a relatively clean outfit to wear for work. He admits he needs a haircut and a good hand scrubbing, especially after working on his car last evening. When he walks into the kitchen, he notices several trays of uncooked meat sitting out in the kitchen area. It appears these have been sitting at room temperature for quite some time. John is frustrated and doesn’t know what to do. He feels like he is beating his head against a brick wall when it comes to getting employees to practice food safety. He has taken many efforts to get employees to be safe in how they handle food. He has huge signs posted all over the kitchen with these words: KEEP HOT FOOD HOT AND COLD FOOD COLD and WASH YOUR HANDS ALWAYS AND OFTEN. All employees are given a thermometer when they start so that they can temp food. Hand sinks, soap, and paper towels are available for employees so that they are encouraged to wash their hands frequently.

Questions:

1. What are the communication challenges and barriers John is facing? Suggest solutions.

2. What are some ways John could use effective communication as a motivator for employees to follow safe food handling practices?

A University found that 27% of its graduates have taken an introductory statistics course. Assume that a group of 15 graduates have been selected.

1. Compute the probability that from this group, there are exactly 2 graduates that have taken an introductory statistics course.
2. Compute the probability that from this group, there are at most 3 graduates that have taken an introductory statistics course.
3. Compute the probability that from this group, there are at least 4 graduates that have taken an introductory statistics course.
4. Compute the expected number, the variance and the standard deviation of graduates that have taken an introductory statistics course.

27. The mean weight of 10 randomly selected newborn babies at a local hospital is 7.14 lbs and the standard deviation is 0.87 lbs. Assume the weight of newborn babies has approximately normal distribution. a. Find the margin of error for the 90% confidence interval for the mean weight of all newborn babies at this hospital. b. Use information from part (a) to fill in the blanks in the following sentence: __________ of all samples of size _____ have sample means within _______ of the population mean. c. Find a 90% confidence interval for the mean weight of all newborn babies at this hospital. d. Does the confidence interval, at 90% confidence level, provide sufficient evidence that the mean weight of a newborn at this hospital is above 6.5 lb? Write the appropriate inequality to justify your answer. e. If you increase the confidence level (1-), will the confidence interval estimate be wider or narrower? Explain.

The data set of Froot loops list data from 100 boxes, and 27% of them are red color.  the Florida candy company claims that the percentage of red color depot loops is equal to 24%. use 0.05 significance level to test that claim. show work of how you,
1) identify the claim.
2)give symbolic form that must be true when the original claim is false.
3) identify Null and alternative hypothesis. 4)select significance level.
5) identify the test statistic
6)find P values
7) make a decision
8)restate decision in nontechnical terms.

Colin is 40 years old and wants to retire in 27 years. His family has a history of living well into their 90s. Therefore, he estimates that he will live to age 95. He currently has a salary of $150,000 and expects that he will need about 75% of that amount annually if he were retired. He can earn 8 percent from his portfolio and expects inflation to continue at 3 percent. Some years ago, he worked for the government and expects to receive an annuity that will pay him $20,000 in today’s dollars per year beginning at age 67. The annuity includes a cost of living adjustment, which is equal to inflation. Colin currently has $200,000 invested for his retirement. His Social Security benefit in today’s dollars is $30,000 per year at normal age retirement of age 67. How much does he need to accumulate at age 67 exclusive of his pension and Social Security benefits?

A. $2.1 million.

B. $2.2 million.

C. $2.8 million.

D. $2.9 million.

Question 4 [27]

The following bank reconciliation statement was prepared by the bookkeeper of Veggie Stores for January 2020. The financial year of the business ends in January each year.

Required:

1. Is the opening balance of R35 000 as per the bank statement a debit or a credit balance on the bank statement? Explain your answer.                                                                         (2)
2. Explain why the business has entered cheque no. 9753 in the bank reconciliation statement.                                                                                                                                       (3)
3. The business has made three other errors. Identify the amounts relating to these errors and explain why they are errors. Specify the corrective action that should be taken to correct these errors.                                                                                                                            (9)
4. Prepare a corrected bank reconciliation statement for January 2020.                         (7)
5. The owner is concerned about the outstanding deposit of R12 900. Explain why he is concerned.                                                                                                                     (2)
6. Propose TWO steps the owner should take to prevent things such as those described in Question 4.5 above from occurring again in the future.                                                (4)

Complete question 4.3 and 4.4 specifically in format below

4.3

                                                                                                                                                        (9)

4.4

                                                                                                                                                        (7)