Exam 1: Review and Applications of Basic Mathematics

Evaluate

Evaluate: -

Hillary sells cosmetics from her part-time home-based business. She receives a straight commission of 21% from her supplier. At the year-end, she also receives a 7% bonus on sales exceeding her annual quota of $100,000. What will her gross annual earnings be for a year in which her average monthly sales are $11,000?

Evaluate the following : -

Evaluate the following: -

The fiscal year for Pine Valley Skiing Ltd., the owner of a downhill skiing facility, ends on June 30. The company began the recently completed fiscal year with its summer maintenance crew of 7. The following table presents the sequence of employee hirings and layoffs during the fiscal year. What was the average number of employees working for Pine Valley during the fiscal year? (Assume that each month has the same length.)

Evaluate

What amount is 230% of $450?

The following fraction has a repeating decimal equivalent form. Express the decimal and percent equivalent form in the repeating decimal notation. Show just the minimum number of decimal places needed to display the repeating digit or group of digits.

Evaluate the following: (54 - 36) ÷ (4 + 2)²

Convert the following fraction to its decimal equivalent and percent equivalent values, rounded to five figures:

Evaluate

500 grams is what percent of 2.8 kilograms? Calculate to three-figure accuracy.

Evaluate

Evaluate the following: 18 ÷ 3 + 6 × 2

One of the methods permitted by Generally Accepted Accounting Principles for reporting the value of a firm's inventory is weighted-average inventory pricing. The Boswell Corporation began its fiscal year with an inventory of 156 units valued at $10.55 per unit. During the year it made the purchases listed in the following table. At the end of the year, 239 units remained in inventory. Determine: a) The weighted-average cost of the units purchased during the year. b) The weighted-average cost of the beginning inventory and all units purchased during the year. c) The value of the ending inventory based on the weighted-average cost calculated in b.

M Studios files GST returns quarterly. In the last quarter, M Studios sold picture frames totalling $3,750, photographic equipment for $78,225, and billed $43,580 for studio work. In the same time period, M Studios paid $3,000 for rent, $1275 for utilities, and purchased goods subject to GST for $65,000. What GST must be remitted by M Studios (or refunded by the CRA) for this quarter? (Assume GST = 5%)

Evaluate the following correct to the cent:

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

Evaluate the answer correct to the cent: -