Applied Mathematics 30S
Essentials of Mathematics 20S Assignment #1 Earning an Income
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You MUST SHOW ALL YOUR WORK, where necessary. Calculators are permitted. It is also expected that all work is neatly organized and that all final answers are outlined in a frame or box. All answers to be rounded to the nearest tenth, unless otherwise stated, or it’s currency. 1) Susan is a self-employed electrician. Over a 2-week span, her business had 4 contracts for $4200, $3600, $5800 and $9800. The cost of Susan’s materials for all the contracts was $19600. Her travelling and other minor expenses were $1100. If she normally works 50 hours a week, what would her hourly pay be? (4 marks)
2) Jason is self-employed and has his own small cleaning business. Him and his three employees go to people’s houses and small businesses and clean after hours or when people are at work. Each week they have the same 4 houses and 3 businesses that they clean. They charge $345 to clean each house and $560 to clean each business. 3 of the 4 houses tip 5% and the other house tips 3%. 2 of the 3 businesses tip 7.5% and the other one tips 2%. a) How much has Jason’s company earned in tips?
(3 marks)
b) Jason gives 30% of the tips to his top employee and 15% each to the other two. How much does Jason get to keep in tips? (2 marks)
3) Ross works as a security guard at an airport. His regular shift is from 3:00 pm to 10:12 pm. At this airport, a shift premium of $3.50 per hour is paid on any hours worked between 4:15 pm and 6:35 pm. a) For how many hours per shift is Ross paid a shift premium?
(1 mark)
b)
If Ross’s regular hourly rate of pay is $14.80, how much is his gross pay for one shift? (2 marks)
c)
If Ross works 5 days a week, what percentage of his weekly wage is at the shift premium rate? (2 marks)
4) Your hourly rate is $34.45 per hour. You get paid time and half for all hours worked over 8 for one day. You also get paid double time and a half for all hours worked on holidays. Find your gross pay given your following hours. (6 marks) Monday: 4:00 am – 3:00 pm Tuesday: 8:15 am – 4:30 pm Wednesday: 7:12 am – 6:42 pm Thursday: 5:35 am – 6:32 am Friday: 9:00 pm – 3:19 am Thanksgiving: 9:00 am – 3:30 pm
5) Mr. Bell is a hockey coach and earns a salary of $30 000 per season (8 months). If on average he puts in 30 hours a week (including practices and games) and averages 6 tournaments with his team per season at 8 hours per tournament, how much does he earn per hour? Note: 12 months in a year, 52 weeks in a year a) Calculate his average weekly salary.
(2 marks)
b) Calculate his hourly wage.
(3 marks)
6) Amanda has two part time jobs. She works 3 times a week for 5 hours per shift at a furniture store. She earns $11.50 per hour and gets 2% commission on all sales per week. Her other job is at a restaurant on weekends from Friday to Sunday for 6 hours per shift earning $10.75 per hour averaging $60 in tips per day. a) How much does Amanda get paid at the furniture store in one week if she sold $ 12 000 worth of furniture? (2 marks)
b) How much does Amanda earn at the restaurant in one weekend?
c)
(2 marks)
Which part time job pays more and what is the percent rate of difference between these jobs? What is her total earnings per week with both jobs? (2 marks)
7) As a real estate agent, Tony earns 5.25% commission on any house that he sells up to $200 000. For any amount above $200 000 of the home’s selling price, he gets 6% commission. What is his commission earnings if he sold a house for $345 000? (3 marks)
8) Kelly assembles boxes at his work. He is paid $9.75 for every full set of 20 boxes assembled per week. In one week, he assembles the following: Monday: 115 boxes Tuesday: 113 boxes Wednesday: 118 boxes Thursday: 106 boxes Friday: 112 boxes a) Calculate his weekly gross income.
(3 marks)
b) If he wants to earn at least $350 per week, how many boxes should he assemble? What should be his daily average assembly? (3 marks)
/ 40 =
NAME:
%
You MUST SHOW ALL YOUR WORK, where necessary. Calculators are permitted. It is also expected that all work is neatly organized and that all final answers are outlined in a frame or box. All answers to be rounded to the nearest tenth, unless otherwise stated, or it’s currency. 1) Susan is a self-employed electrician. Over a 2-week span, her business had 4 contracts for $4200, $3600, $5800 and $9800. The cost of Susan’s materials for all the contracts was $19600. Her travelling and other minor expenses were $1100. If she normally works 50 hours a week, what would her hourly pay be? (4 marks)
2) Jason is self-employed and has his own small cleaning business. Him and his three employees go to people’s houses and small businesses and clean after hours or when people are at work. Each week they have the same 4 houses and 3 businesses that they clean. They charge $345 to clean each house and $560 to clean each business. 3 of the 4 houses tip 5% and the other house tips 3%. 2 of the 3 businesses tip 7.5% and the other one tips 2%. a) How much has Jason’s company earned in tips?
(3 marks)
b) Jason gives 30% of the tips to his top employee and 15% each to the other two. How much does Jason get to keep in tips? (2 marks)
3) Ross works as a security guard at an airport. His regular shift is from 3:00 pm to 10:12 pm. At this airport, a shift premium of $3.50 per hour is paid on any hours worked between 4:15 pm and 6:35 pm. a) For how many hours per shift is Ross paid a shift premium?
(1 mark)
b)
If Ross’s regular hourly rate of pay is $14.80, how much is his gross pay for one shift? (2 marks)
c)
If Ross works 5 days a week, what percentage of his weekly wage is at the shift premium rate? (2 marks)
4) Your hourly rate is $34.45 per hour. You get paid time and half for all hours worked over 8 for one day. You also get paid double time and a half for all hours worked on holidays. Find your gross pay given your following hours. (6 marks) Monday: 4:00 am – 3:00 pm Tuesday: 8:15 am – 4:30 pm Wednesday: 7:12 am – 6:42 pm Thursday: 5:35 am – 6:32 am Friday: 9:00 pm – 3:19 am Thanksgiving: 9:00 am – 3:30 pm
5) Mr. Bell is a hockey coach and earns a salary of $30 000 per season (8 months). If on average he puts in 30 hours a week (including practices and games) and averages 6 tournaments with his team per season at 8 hours per tournament, how much does he earn per hour? Note: 12 months in a year, 52 weeks in a year a) Calculate his average weekly salary.
(2 marks)
b) Calculate his hourly wage.
(3 marks)
6) Amanda has two part time jobs. She works 3 times a week for 5 hours per shift at a furniture store. She earns $11.50 per hour and gets 2% commission on all sales per week. Her other job is at a restaurant on weekends from Friday to Sunday for 6 hours per shift earning $10.75 per hour averaging $60 in tips per day. a) How much does Amanda get paid at the furniture store in one week if she sold $ 12 000 worth of furniture? (2 marks)
b) How much does Amanda earn at the restaurant in one weekend?
c)
(2 marks)
Which part time job pays more and what is the percent rate of difference between these jobs? What is her total earnings per week with both jobs? (2 marks)
7) As a real estate agent, Tony earns 5.25% commission on any house that he sells up to $200 000. For any amount above $200 000 of the home’s selling price, he gets 6% commission. What is his commission earnings if he sold a house for $345 000? (3 marks)
8) Kelly assembles boxes at his work. He is paid $9.75 for every full set of 20 boxes assembled per week. In one week, he assembles the following: Monday: 115 boxes Tuesday: 113 boxes Wednesday: 118 boxes Thursday: 106 boxes Friday: 112 boxes a) Calculate his weekly gross income.
(3 marks)
b) If he wants to earn at least $350 per week, how many boxes should he assemble? What should be his daily average assembly? (3 marks)
