Learning Resources
Outcomes
By the end of this lesson you will be able to answer questions like the ones in the pre-test below.
If you prefer, you can proceed directly to the first page of the lesson without doing the pre-test. To do this simply click on the Lesson button above.
Alternately you can first answer the questions on the pre-test below in your Math 3103 binder. Then refer only to the pages of the lesson that contain instruction on the questions for which you get an incorrect answer or for which you would like some further explanation.
- Solve each of the following for x:
(a) x = 35% of 20
(b) 32% of x = 28
(c) x% of 140 = 127.4
(d) 20% of 30% of 50 = x
(e) x + 15% of x = 372.6 - You start a new job which pays $300 per week at the beginning of the first year, with a guarantee of a 10% raise at the beginning of the year for the next three years, and a 5% raise at the beginning of the year for each year thereafter.
(a) What is your weekly salary at the beginning of the second year?
(b) What is your weekly salary at the beginning of the fourth year?
(c) What is your weekly salary at the beginning of the fifth year? - A person has a job which pays a base wage of $200 per week plus 3% commission on all sales. If the person received a check showing a gross amount of $297.50, what were his total sales for the week?
- When Jon was 20 he borrowed an amount of money and invested it in a 30 year GIC at a guaranteed interest rate for the term of the investment. He initially (year = 0) invested $10000. At the end of the first year he had $10800, at the end of the second year he had $11664.
(a) What was his yearly rate of interest?
(b) Use a spreadsheet or some other technology to determine the
value of the investment at the end of each year for the 30 year
period.
(c) Draw a graph of the data using the year number as the domain
and the value of the investment as the range.
(d) From the graph, estimate how long it took the money to
double.
By the end of this section you should be able to:
- Add, subtract, multiply and divide decimal numbers mentally.
- Express a given rational number in any of three ways, viz.: fraction, decimal, percentage.
- Solve simple equations involving percentages
- Apply percentage increase and decrease in problem solving situations.
Prerequisites
To be successful in this lesson, it would be helpful to know the following:
- How to solve linear equations.
- How to convert a percent to a decimal.