Bargain Rental Car offers rental cars in an off-airport location near a major tourist destination in California. Management would like to better understand the variable and fixed portions of it car washing costs. The company operates its own car wash facility in which each rental car that is returned is thoroughly cleaned before being released for rental to another customer. Management believes that the variable portion of its car washing costs relates to the number of rental returns. Accordingly, the following data have been compiled:
| Month | Rental Returns | Car Wash Costs | |||
| January | 2,400 | $ | 10,800 | ||
| February | 2,500 | $ | 13,000 | ||
| March | 2,700 | $ | 11,600 | ||
| April | 3,000 | $ | 14,000 | ||
| May | 3,600 | $ | 16,000 | ||
| June | 5,000 | $ | 22,900 | ||
| July | 5,500 | $ | 22,000 | ||
| August | 5,400 | $ | 21,700 | ||
| September | 4,700 | $ | 22,600 | ||
| October | 3,900 | $ | 20,500 | ||
| November | 2,200 | $ | 10,500 | ||
| December | 2,700 | $ | 13,500 | ||
Required:
1. Prepare a scattergraph plot. (Place car wash costs on the vertical axis and rental returns on the horizontal axis.)
Instructions:
1. On the graph below, use the point tool (January) to plot rental returns on the horizontal axis and car wash costs on the vertical axis.
2. Repeat the same process for the plotter tools (February to December).
3. To enter exact coordinates, click on the point and enter the values of x and y.
4. To remove a point from the graph, click on the point and select delete option.
car wash cost
$30000
$25000
$20000
$15000
$10000
$5000
0 1000 2000 3000 4000 5000 6000 7000
rental returns
2. Using least-squares regression, estimate the variable cost per rental return and the monthly fixed cost incurred to wash cars. (Round Fixed cost to the nearest whole dollar amount and the Variable cost per unit to 2 decimal places.)
In: Accounting
Thirty-one small communities in Connecticut (population near 10,000 each) gave an average of x = 138.5 reported cases of larceny per year. Assume that σ is known to be 44.5 cases per year.
(a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)
| lower limit | |
| upper limit | |
| margin of error |
(b) Find a 95% confidence interval for the population mean annual
number of reported larceny cases in such communities. What is the
margin of error? (Round your answers to one decimal place.)
| lower limit | |
| upper limit | |
| margin of error |
(c) Find a 99% confidence interval for the population mean annual
number of reported larceny cases in such communities. What is the
margin of error? (Round your answers to one decimal place.)
| lower limit | |
| upper limit | |
| margin of error |
(d) Compare the margins of error for parts (a) through (c). As the
confidence levels increase, do the margins of error increase?
As the confidence level increases, the margin of error increases.As the confidence level increases, the margin of error remains the same. As the confidence level increases, the margin of error decreases.
(e) Compare the lengths of the confidence intervals for parts (a)
through (c). As the confidence levels increase, do the confidence
intervals increase in length?
As the confidence level increases, the confidence interval decreases in length.As the confidence level increases, the confidence interval increases in length. As the confidence level increases, the confidence interval remains the same length.
In: Statistics and Probability
Thirty-one small communities in Connecticut (population near 10,000 each) gave an average of x = 138.5 reported cases of larceny per year. Assume that σ is known to be 44.1 cases per year.
(a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)
| lower limit | |
| upper limit | |
| margin of error |
(b) Find a 95% confidence interval for the population mean annual
number of reported larceny cases in such communities. What is the
margin of error? (Round your answers to one decimal place.)
| lower limit | |
| upper limit | |
| margin of error |
(c) Find a 99% confidence interval for the population mean annual
number of reported larceny cases in such communities. What is the
margin of error? (Round your answers to one decimal place.)
| lower limit | |
| upper limit | |
| margin of error |
(d) Compare the margins of error for parts (a) through (c). As the
confidence levels increase, do the margins of error increase?
As the confidence level increases, the margin of error decreases.As the confidence level increases, the margin of error remains the same. As the confidence level increases, the margin of error increases.
(e) Compare the lengths of the confidence intervals for parts (a)
through (c). As the confidence levels increase, do the confidence
intervals increase in length?
As the confidence level increases, the confidence interval increases in length.As the confidence level increases, the confidence interval remains the same length. As the confidence level increases, the confidence interval decreases in length.
In: Math
Thirty-three small communities in Connecticut (population near 10,000 each) gave an average of x = 138.5 reported cases of larceny per year. Assume that σ is known to be 43.7 cases per year. (a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.) lower limit upper limit margin of error (b) Find a 95% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.) lower limit upper limit margin of error (c) Find a 99% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.) lower limit upper limit margin of error (d) Compare the margins of error for parts (a) through (c). As the confidence levels increase, do the margins of error increase? As the confidence level increases, the margin of error remains the same. As the confidence level increases, the margin of error decreases. As the confidence level increases, the margin of error increases. (e) Compare the lengths of the confidence intervals for parts (a) through (c). As the confidence levels increase, do the confidence intervals increase in length? As the confidence level increases, the confidence interval decreases in length. As the confidence level increases, the confidence interval remains the same length. As the confidence level increases, the confidence interval increases in length.
In: Math
Thirty-one small communities in Connecticut (population near 10,000 each) gave an average of x = 138.5 reported cases of larceny per year. Assume that σ is known to be 45.1 cases per year. (a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.) lower limit upper limit margin of error (b) Find a 95% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.) lower limit upper limit margin of error (c) Find a 99% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.) lower limit upper limit margin of error
In: Math
3. Sydney Rangers Inc operates remote parking lots near major
airports. The board of directors of this family-owned company
believes that Sydney Rangers could earn an additional $2 million
income before interest and taxes by expanding into new markets.
However, the $5 million that the business needs for growth cannot
be raised within the family. The directors, who strongly wish to
retain family control of the company, must consider issuing
securities to outsiders.
Sydney Rangers’s Plan 1 is to borrow at 6%. Plan 2 is to issue
100,000 common shares. Plan 3 is to issue 100,000 non-voting, $3.75
preferred shares ( $3.75 is the annual dividend paid on each
preferred share). Sydney Rangers currently has net income of $3.5
million and 1 million common shares outstanding. The company’s
income tax rate is 25%.
Requirements:
1. Prepare an analysis to determine which plan will result in the
highest earning per common share.
2. Recommend one plan to the board of directors. Explain your
reasons.
In: Accounting
Thirty-four small communities in Connecticut (population near 10,000 each) gave an average of x = 138.5 reported cases of larceny per year. Assume that σ is known to be 44.3 cases per year.
(a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)
| lower limit | |
| upper limit | |
| margin of error |
(b) Find a 95% confidence interval for the population mean annual
number of reported larceny cases in such communities. What is the
margin of error? (Round your answers to one decimal place.)
| lower limit | |
| upper limit | |
| margin of error |
(c) Find a 99% confidence interval for the population mean annual
number of reported larceny cases in such communities. What is the
margin of error? (Round your answers to one decimal place.)
| lower limit | |
| upper limit | |
| margin of error |
(d) Compare the margins of error for parts (a) through (c). As the
confidence levels increase, do the margins of error increase?
As the confidence level increases, the margin of error increases.As the confidence level increases, the margin of error decreases. As the confidence level increases, the margin of error remains the same.
(e) Compare the lengths of the confidence intervals for parts (a)
through (c). As the confidence levels increase, do the confidence
intervals increase in length?
As the confidence level increases, the confidence interval increases in length.As the confidence level increases, the confidence interval decreases in length. As the confidence level increases, the confidence interval remains the same length.
In: Math
Thirty-two small communities in Connecticut (population near 10,000 each) gave an average of x = 138.5 reported cases of larceny per year. Assume that σ is known to be 41.3 cases per year. (a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.) lower limit upper limit margin of error (b) Find a 95% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.) lower limit upper limit margin of error (c) Find a 99% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.) lower limit upper limit margin of error (d) Compare the margins of error for parts (a) through (c). As the confidence levels increase, do the margins of error increase? As the confidence level increases, the margin of error decreases. As the confidence level increases, the margin of error increases. As the confidence level increases, the margin of error remains the same. (e) Compare the lengths of the confidence intervals for parts (a) through (c). As the confidence levels increase, do the confidence intervals increase in length? As the confidence level increases, the confidence interval decreases in length. As the confidence level increases, the confidence interval increases in length. As the confidence level increases, the confidence interval remains the same length.
In: Math
Eastern Aviation operated both an airline and several restaurants located near airports. During the year just ended, all restaurant operations were discontinued and the following operating results were reported.
| Continuing operations (airline): | |||
| Net sales | $ | 27,560,000 | |
| Costs and expenses | 21,660,000 | ||
| Other data: | |||
| Operating income from restaurants (net of income tax) | 432,000 | ||
| Gain on sale of restaurants (net of income tax) | 2,478,000 | ||
| Nonrecurring loss | 1,200,000 | ||
All of these amounts are before income taxes unless indicated otherwise. The company's income tax rate is 40 percent. The nonrecurring loss resulted from damage to a warehouse that is not related to the discontinued restaurant operations. Eastern Aviation had 1,000,000 shares of capital stock outstanding throughout the year.
Required:
a. Prepare a condensed income statement, including proper presentation of the discontinued restaurant operations and the nonrecurring loss. Include all appropriate earnings per share figures.
b. Assume that you expect the profitability of Eastern Aviation operations to decline by 5 percent next year, and the profitability of the restaurants to decline by 10 percent. What is your estimate of the company’s net earnings per share next year?
In: Accounting
1.A 1000 ephemeral stream segment along the Town Creek near Tupelo, MS has a width of 30-m. The difference in elevation of the bottom channel for the upstream to the downstream section is 0.5m. A triangular hydrograph cumulating 10-cm of runoff that begins at 0m3/s reaches a peak of 35m3/s after the first hour of flow and returns to 0m3/s at the time 2.8-hr.If no lateral or overbank inflow is observed along the reach:
a.(15pts) Compute the outflow hydrograph for this reach selecting a time step of 0.1hr, a travel time constant of 0.285 hr and a weighting factor o f0.35.(use 4 decimal places for the outflow hydrograph to determine the routing time to reach the 0m3/s)(As you could submit your routingin Excel, hand/typing calculation are required for the time step that corresponds to your last digit of the net id. If 0 then 10th time step)Hint: The inflow hydrographs should have time steps of 0.1-hr from the beginning to the end.
b.(5 pts) Determine the lag time and peak flow attenuation(difference) observed between inflow and outflow hydrographs.
c.(15pts) Assuming the routing parameters remain constant, compute the outflow hydrograph for the following 1000-m reach segment.(use 4 decimal places for the outflow hydrograph to determine the routing time to reach the 0m3/s)(As you could submit your routing in Excel, hand/typing calculation sare required for the time step that corresponds to your last digit of the net id. If 0 then 10th time step
d.(5 pts) Determine the lag time and peak flow attenuation(difference) observed between inflow and outflow hydrographs.e.(5 pts) Is the runoff volume and the runoff depth changing along the reach? Validate your response with proper calculations and demonstrations.
f.(5 pts) Plot all three hydrographs in one same graph.
In: Civil Engineering