Exam 1: Review and Applications of Basic Mathematics

Evaluate the answer correct to the cent: $\$ 200\left(1+0.075 \times \frac{75}{365}\right)$

Stan is a real estate salesperson. He receives 60% of the 4.8% commission that the real estate agency charges on sales. If his income for the past year was $150,480, what was his dollar volume of sales for the year?

A class of 25 students wrote a term test. The results out of 30 marks are as follows: What was the average score on the test?

The following fraction has a terminating decimal equivalent form. Express its decimal and percent equivalent forms to five-figure accuracy: $\frac{7}{8}$

Determine the final value of $\frac{780}{1+0.892 \times \frac{280}{365}}$

Evaluate the following: 30 /3 + 12 / 4

The actual profit of $23,400 for the most recent fiscal quarter was 90% of the forecast profit. What was the forecast profit?

78% of what amount is $249.60?

Karen works in a retail computer store. She receives a weekly base salary of $300 plus a commission of 3% of sales exceeding her quota of $20,000 per week. What were her sales for a week in which she earned $630.38?

Suppose a group of consumers spends 30% of its disposable income on food, 20% on clothing, and 50% on rent. If over the course of a year the price of food rose 10%, the price of clothing dropped 5%, and rent rose 15%, what was the average price increase experienced by these consumers?

Evaluate the answer correct to the cent: $\$ 1100\left(\frac{(1+0.05)^{2}-1}{0.05}\right)$

$134 is what percent of $67 accurate to three significant figures?

Jayelle took six courses last semester. Her grades and course credits are as follows: Use the Letter Grade to Grade Point Value conversion table below to calculate her grade point average for the semester.

At the start of the year, Sanford Corporation began the year with 750,000 in shares outstanding. On July 1, 60,000 shares were repurchased by the company, and another 40,000 shares were repurchased on December 1. Calculate the weighted average shares outstanding.

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 $2,000 for rent, $675 for utilities, and purchased goods subject to GST for $65,000. What GST must be remitted by M Studios (or refunded by the CCRA) for this quarter?

Melanie's regular hourly rate of pay is $17.70. She is paid time and a half for all work on weekends and for any time over 8.5 hours on weekdays. Calculate her gross earnings for a week in which she works 4.5, 0, 7, 8.5, 5, 6, and 9 hours on Saturday to Friday, respectively.

Sandy is a commissioned car sales consultant, and receives weekly pay of $300 plus $250 commission for each vehicle sold. If Sandy, earned $4,450 last month, determine the number of vehicles sold.

How must you allocate your money among a number of investments so that your portfolio's overall rate of return will be the same as the simple average of the rates of return on individual investments?

An investor purchased shares of Acme Company as follows: 500 shares @ $10 per share, 10,000 shares @ $6.00 per share, and 1,000 shares at $4.00 per share. What is the investor's average cost per share?

Evaluate the answer .: (5 + 3)² - 32 ¸ 9 + 3