the average amount of rain per year in Greenville is 49 inches. the standard deviation is 8 inches. Find the probability and graph that next year Greenville will receive less than 46 inches and more than 54 inches of rain. Assume the variable is normally distributed.

In May of the current year (2020), Mark began investigating the possibility of opening a law firm. From May through July he spent $1,200 on a market survey, $3,600 in consulting fees to find the best location, and $2,000 in professional fees setting up an accounting and inventory system. Although he had never run his own business before, on August 1 he opened his doors for business. What is the maximum amount of deduction for the current year attributable to these expenditures? Show work.

A) $0

B) $5,050   

C) $5,080  

D) $6,800

A 55 year old male present to the clinic for evaluation of progessive symptoms of increased fatigue, thirst, urination, and appetite of several weeks to months duration.

what are your primary concerns for this patient and what assessment and interventions would be associated with you concerns and why ?

assume the annuities are annuities due

a.   The present value of $400 per year for ten years at 10 percent

b.   The future value of $400 per year for ten years at 10 percent

c.   The present value of $200 per year for five years at 5 percent

d.   The future value of $200 per year for five years at 5 percent

The school population for a certain school is predicted to increase by 80 students per year for the next 14 years. If the current enrollment is 800 students, what will the enrollment be after 14 ​years?

Joe's annual income has been increasing each year by the same dollar amount. The first year his income was ​$24,700​, and the 12th year his income was $37,900. In which year was his income $ 43,900?

How many terms are there in each of the following sequences?

a. 39,40,41,42...,539

b. 1,2,2²,2³,...2⁶⁰

c. 100, 200,300,400,...3000

d. 1,2,4,8,16,32,...2048

PLEASE SHOW WORK

A five-year-old male patient was admitted to the hospital with a severe acute infection of the ethmoid sinuses. The patient has had a history of sinus infections. At three years of age, the patient had been diagnosed with a pneumonia infection, but did not have an increased level of white blood cells. Presently, the patient was treated with antibiotics and his antibodies against streptolysin O, an antigen from streptococci, were measured. The patient had no antibodies against SLO, and his IgG levels were low, IgA were undetectable, and his IgM levels were elevated. A biopsy was done of a lymph node and no secondary follicles or germinal centers were found. The patient was given a DPT vaccination, and no antibodies against the tetanus toxoid were generated as a result. When the patient’s cells were analyzed by flow cytometry, his CD19+ B cells stained positive for surface IgM and IgD, but not IgA or IgG. His T cells were isolated and stimulated in the lab with phorbol ester and ionomycin, but they did not bind CD40. There was no family history of susceptibility to infection. What deficiency does this patient suffer from?

a) You took out a one-year loan for $3000 and agreed to pay it in three equal installments, one payment at the end of 1 months, a second payment at the end of 2 months, and a last payment at the end of the year. What is the size of each payment? Assume interest rate is 9%.

b) In part (a), suppose that you made three non-equal payments: the first was $600 at the end of 1 month, the second was $800 at the end of 2 months and the final payment was $X at the end of the year. What is the value of X if interest rate is 8%? Use the declining balance method.

please write down detail show all steps

Assume this is a demand and supply schedule for a one-year discount bond with face value of $1,000. Complete the column for corresponding interest rate.

b. Given the above demand and supply schedules for the discount bond market, solve for equilibrium price, quantity, and interest rate.

Demand equation:   P_B = ________________________

Supply equation:    P_B = _________________________

Equilibrium price P* = _________________________

Equilibrium quantity Q* = _______________________

Equilibrium interest rate r* = _______________________

Assume there are three companies that in the past year paid exactly the same annual dividend of $1.77 a share. In​ addition, the future annual rate of growth in dividends for each of the three companies has been estimated as​ follows:

Buggies-Are-Us: g = 0 (i.e., dividends are expected to remain at $1.77/share)

Steady Freddie, Inc: g = 7% (for the foreseeable future)

Gang Buster Group:

Assume also that as the result of a strange set of​ circumstances, these three companies all have the same required rate of return ​(r = 11%).

(for all answers round to the nearest cent)

a. For​ Buggies-Are-Us, the value of the​ company's common shares is $_____.

For Steady​ Freddie, Inc., the value of the​ company's common shares is $_____.

For Gang Buster Group, the value of the company's common shares is $_____.

b. Comment briefly on the comparative values of these three companies. What is the major cause of the differences among these three​ valuations?

A. The value of​ Buggies-Are-Us is ​$16.09​, compared to ​$47.25 for Steady​ Freddie, Inc., and ​$57.22 for Gang Busters Group. The difference in values is caused by the difference in dividend growth rates. The​ Buggies-Are-Us dividends do not​ grow, resulting in the lowest value. The dividends of Steady​ Freddie, Inc., grow at a constant rate of 7% forever, whereas Gang Busters​ Group's dividends grow at approximately​ 12% for the first four years and 11% from year five to the foreseeable future. The higher growth in dividends in the earlier years causes the stock of Gang Busters Group to be worth more than Steady​ Freddie, Inc., stock.

B. The value of​ Buggies-Are-Us is ​$16.09, compared to ​$47.25 for Steady​ Freddie, Inc., and $57.22 for Gang Busters Group. The difference in values is caused by the difference in dividend growth rates. The​ Buggies-Are-Us dividends do not​ grow, resulting in the lowest value. The dividends of Steady​ Freddie, Inc., grow at a constant rate of 7% forever; whereas Gang Busters​ Group's dividends grow at approximately​ 12% for the first four years and 7% from year five to the foreseeable future. The higher growth in dividends in the earlier years causes the stock of Gang Busters Group to be worth more than the Steady​ Freddie, Inc., stock.

Personal Budget

At the beginning of the 2016 school year, Britney Logan decided to prepare a cash budget for the months of September, October, November, and December. The budget must plan for enough cash on December 31 to pay the spring semester tuition, which is the same as the fall tuition. The following information relates to the budget:

a. Prepare a cash budget for September, October, November, and December. Enter all amounts as positive values except an overall cash decrease which should be indicated with a minus sign.

b. Are the four monthly budgets that are presented prepared as static budgets or flexible budgets?

c. Brittany can see that her present plan   sufficient cash. If Logan did not budget but went ahead with the original plan, she would be $   at the end of December, with no time left to adjust.