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: $-1 \frac{11}{32}$

Converting .65785 to percentage form is 657.85%

Convert the following fraction to its decimal equivalent and percent equivalent values, rounded to five figures: $\frac{7}{6}$

$1.34 is what percent of $655 accurate to three significant figures?

Sawchuk's Home and Garden Centre files monthly HST returns. The purchases on which it paid the HST and the sales on which it collected the HST for the last four months were as follows: Based on an HST rate of 13%, calculate the HST remittance or refund due for each month.

Evaluate 3[4 + (5 - 3)²]² =

An investor accumulated 1800 shares of Microtel Corporation over a period of several months. She bought 1,000 shares at $15.63, 500 shares at $19.00, and 300 shares at $21.75. What was her average cost per share? (Note: Investors who purchase shares in the same company at more than one price must eventually do this calculation. Tax rules require that the capital gain or loss on the sale of any of the shares be calculated using the weighted-average price paid for all of the shares rather than the particular price paid for the shares actually sold.)

Round the following to four-figure accuracy: 40.09515

$180 is 120% of what amount accurate to the cent?

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 $\frac{5-(6-14)}{200-0.25 \times \frac{3000}{15}}$ =

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

Sonja is paid $42.50 per hour as a veterinarian. She is paid 1½ times the regular rate for all time exceeding 7½ hours in a day or 37½ hours per week. Work on a statutory holiday is paid at double time. What were her gross earnings for a week in which she worked 6, 0, 3, 7½, 9, 7½, and 8 hours on Saturday to Friday, respectively, and the Monday was a statutory holiday?

¾% of what amount is $1.00?

The following mixed number has a terminating decimal equivalent form. Express its decimal and percent equivalent forms to five-figure accuracy: $2 \frac{2}{100}$

350% of what amount is $1,000 accurate to the cent?

Evaluate 6 - 2 + 3 × (2 - 3)² =

Convert the following fraction to its decimal equivalent and percent equivalent values, rounded to five figures: $\frac{1}{60}$

Property taxes on land assessed at $750,000 and a mill rate of 1.1857 is $1,028.55

When a company calculates its earnings per common share for its financial statements, it uses the weighted-average number of common shares outstanding during the year. Suppose Enertec Corp. began its fiscal year (January 1 to December 31) with 5 million shares outstanding. On March 1, it sold a new public offering of 1 million shares. On June 1, employees and officers exercised stock options resulting in the issue of 500,000 common shares. On November 1, another 750,000 shares were issued when holders of convertible bonds chose to exercise the conversion privilege. What was the average number of common shares outstanding during the year? (Assume that each month has the same length.)