Calculate Payroll

Breakin Away Company has three employees—a consultant, a computer programmer, and an administrator. The following payroll information is available for each employee:

For the current pay period, the computer programmer worked 50 hours and the administrator worked 48 hours. The federal income tax withheld for all three employees, who are single, can be determined from the wage bracket withholding table in Exhibit 2. Assume further that the social security tax rate was 6.0%, the Medicare tax rate was 1.5%, and one withholding allowance is $75.

Determine the gross pay and the net pay for each of the three employees for the current pay period. If required, round your answers to two decimal places.

alculate Payroll

K. Mello Company has three employees-a consultant, a computer programmer, and an administrator. The following payroll information is available for each employee:

For hourly employees, overtime is paid for hours worked in excess of 40 hours per week.

For the current pay period, the computer programmer worked 55 hours and the administrator worked 65 hours. Assume further that the social security tax rate was 6%, and the Medicare tax rate was 1.5%.

Determine the gross pay and the net pay for each of the three employees for the current pay period. Assume the normal working hours in a week are 40 hours. If required, round your answers to two decimal places.

Part I On a certain university campus there is an infestation of Norway rats. It is estimated that the number of rats on campus will follow a logistic model of the form P(t)=50001+Be−ktP(t)=50001+Be−kt.

A) It is estimated that there were 500 rats on campus on January 1, 2010 and 750 on April 1, 2010. Using this information, find an explicit formula for P(t)P(t) where tt is years since January 1, 2010. (Assume April 1, 2010 is t=.25t=.25.)
P(t)= P(t)=  .

B) What was the rat population on October 1, 2010?
rats.

C) How fast was the rat population growing on April 1, 2010?
rats per year.

D) According to our logistic model, when will the rat population hit 2,500 rats?
years after January 1, 2010.

E) Rats live in communal nests and the more rats there are, the closer they live together. Suppose the total volume of the rats' nests is F=0.64P+4−−−−−−−−√−2F=0.64P+4−2 cubic meters when there are PP rats on campus.
When there are 750 rats, what is the total volume of the rats' nests and how fast is the mass of nests growing with respect to time?
The total volume is  cubic meters and the volume is increasing at  cubic meters per year.

F) One of the reasons that the rats' population growth slows down is overcrowding. What is the population density of the rats' nests when there are 750 rats and how fast is the population density increasing at that time?
The population density is  rats per cubic meter and the population density is increasing at  rats per cubic meter per year.

1. When was the latest wave of globalization? What new advances in technology supported this?

1. How can international economic integration (globalization) be measured? Provide information on each method.

1. What does the trade -to-GDP ratio measure? Does a low value indicate that a country is closed to trade with the outside world?

1. What are some of the differences between capital flows today versus the 1900’s? Provide details on at least 2 of these differences.

Ice cream and coins. This problem tests your understanding of the multiplication rule. Round these answers to 5 decimal places.
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 65 ounces and a standard deviation of 11 ounces.

Use the Empirical Rule, also known as the 68-95-99.7 Rule. Do not use Tables or Technology to avoid rounding errors.

Suggestion: sketch the distribution in order to answer these questions.

The following data give the average price received by fishermen for several species of fish in 2000 and 2010. The price is in cents per pound.

1. Create a regression equation for the data.
   
   ˆy=y^= Round to 2 decimal places.
   
2. What is the correlation coefficient between the 2000 and 2010 prices.
   
   Round to 2 decimal places.
   
3. If a type of fish was 41.3 cents per pound in 2000, how much would you expect to pay for it in 2010?
   
   ¢/lbs Round to 1 decimal places.

1. From 2010-2020 the median home value in the city of Fort William grew exponentially. The median home value during this time period changed by 12% per year.

1. If the 1-year percent change is 12%, what is the 1-year growth factor?

2. Use your answer to part (a) to complete the following table of values showing the median home value in Fort William at various times.

   years since the beginning of 2010, tt	median home value in Fort William (in dollars)
   0	182,400
   1	204,288
   2
   3.25	263,623
   4.25
   5.25

3. Define a function ff that models the median home value in Fort William tt years since the beginning of 2010 (assuming 0≤t≤10). Be sure to use function notation.

2.    A city's population grows exponentially by 5% per year.

1. What is the 1-year growth factor for the population?

2. Fill in the missing information in the table below.

   years since the beginning of 2015, n	the city's population, p=g(n)
   0	160,000
   1	168,000
   2	176400
   4.25	196,800
   5.25	206711

c. Define a function g to model the citys population n years since the beginning of 2015.

3. The given table of values represents an exponential function (that is, a relationship where the growth factor is constant for the same size changes in x).

1. Use the entries in the table to determine the 1-unit growth factor for y in this relationship.

   The 1-unit growth factor is .

2. The 1-unit percent change for values of y is %

3. Define a formula for function f. Be sure to use function notation.

4. Fill in the missing entries in the table. Note: Pay close attention to how the values of x change. Not all changes are 1 unit. You can also use the formula you defined.

The population from 1975 to 2015 are given below

1. Use the data given in the table to draw the population – time relation in X-Y graph
2. Use the Graphical extension Method to find the population in 2050
3. According to the plotted graph, use only one method (Geometric Increase method or Arithmetic Increase method) to find the population in 2050 (Explain why you select this method)
4. Use the estimated population in 2050 to design the main sewer pipe running 0.6 times full at maximum discharge. The water supplied from the water works to the town is at a rate of 200 LPCD. The manning’s n = 0.015 for the pipe material and permissible slope is 1 ‰. Variation of n with depth may be neglected. Check for minimum and maximum velocity assuming that the groundwater level is lower than the sewer pipe level.

Look at the data for the Japanese yen from 2000 to the present. Assume that you were in Tokyo for New Year’s Eve from January 1, 2010 to January 1 this year and bought a bento (box lunch) for 1000 yen each year. Convert this amount to dollars for the first day in January that data is available for each of the years you were in Tokyo.

1. Create a chart that plots the dollar price of the bento box overtime on each of the days in January you used.
2. Has the dollar appreciated or depreciated against the yen during this time period?
3. What the least amount in dollars that your box lunch cost ($ amount and date)?
4. What the most amount in dollars that your box lunch cost ($ amount and date)? please Make sure you calculate the US$ price of the bento box for every January between 2010 and the present. please no handwriting

Technological innovation is an extended concept of innovation. Technological Innovation, however focuses on the technological aspects of a product or service rather than covering the entire organisation business model. There are both advantages and disadvantages of technological innovation. Briefly present these advantages and disadvantages.n