Exam 1: Review and Applications of Basic Mathematics

The following mixed number has a terminating decimal equivalent form. Express its decimal and percent equivalent forms to five-figure accuracy:

Mrs. Simone invested $10,000 at 5%, $15,000 at 4%, and $20,000 at 3%. Calculate Mrs. Simone's overall rate of return.

Calculate the PST on a sweater costing $59.95 in Saskatchewan, Alberta, and Quebec. Use TABLE 1.2 as reference for the PST rates of the individual provinces.

Kuldip invested $5,000 at 6%, $10,000 at 5.5%, and $20,000 at 4%. What is the average rate of interest earned by her investments?

Evaluate the answer correct to the cent: (-3) (-4) -7 - 5²

Jane took six courses last semester. Her grades and course credits are as follows: Using the Letter Grade to Grade Point Value conversion table in Example 1.5D, calculate her grade point average for the semester.

Evaluate 0.5 × 0.001 =

Preston bought gasoline for his truck four times last month. He bought 74 litres at $1.25 per litre, 45 litres at $1.32 per litre, 88 litres at $1.28 per litre, and 20 litres at $1.39 per litre. a. What simple average price per litre did Preston pay for gasoline last month? b. What weighted average price per litre did Preston pay for gasoline last month? Round to the cent. c. Which averaging method is the better reflection of Preston's gasoline cost last month? Why?

To attract shoppers, retailers occasionally advertise something like "Pay no HST!" Needless to say, neither the federal nor the provincial government is willing to forego its sales tax. In this situation, the retailer must calculate and remit the HST as though the "ticket" price already includes these sales taxes. How much HST must a Newfoundland retailer report on a $629 item that he sells on a Pay-No-HST basis? (Hint: What percentage is the HST of an HST-inclusive price?)

What are the taxes on a property assessed at $227,000 if the mill rate is 16.8629?

The following fraction has a terminating decimal equivalent form. Express its decimal and percent equivalent forms to five-figure accuracy:

Evaluate

Round the following to four-figure accuracy: 11.3845

Isaac earns a base salary of $1,250 per month and a graduated commission of 0.4% on the first $100,000 of sales, and 0.5% on sales over $100,000. Last month, Isaac's gross salary was $2025. What were his sales for the month?

The following fraction has a terminating decimal equivalent form. Express its decimal and percent equivalent forms to five-figure accuracy:

Luther is paid an annual salary of $56,600 based on a 37½-hour workweek. a) What is his equivalent hourly wage? (Assume that a year has exactly 52 weeks). b) What would be his total remuneration for a bi-weekly pay period of that year if he worked 4.5 hours of overtime at time and a half?

$135 is what percent of $2,750?

$45 is 60% of what amount accurate to the cent?

The fraction converted to percentage form is .25%

A full-service broker charges a commission rate of 2.2% of the total dollar value of a stock transaction. A discount broker charges a transaction fee of $25 plus an additional five cents per share. Suppose you purchase 800 shares of Talisman Energy at $21.75 per share. What percentage of the commission fee charged by the full-service broker would you save by using the discount broker?