Exam 1: Review and Applications of Basic Mathematics

David earned $59,000 last year. Tax rate earned on the first $20,000 is 15%; 25% on the next $25,000 and 30% for the remainder of income. What was the average tax rate?

Nitin is paid on a graduated commission scale. His base salary is $250 per week and he receives commission at the rate of 2.5% for the first $5,000 of sales in a week, 4% on the next $10,000, and 4.5% on all further sales. How much will Nitin earn in a week in which his sales are $30,000?

A property sold for 250% of what the vendors originally paid for it. What was that original price if the recent selling price was $210,000?

The fraction $\frac{.0875}{1.5}$ converted to percentage form is 5.833%

Evaluate the answer.: (-1) (-3) + 7 - 6²:

Marilyn's gross pay last month was $3,300.00. Her base salary is $3,000 per month, plus a commission of 2% on sales over $60,000. What were Marilyn's sales for last month?

Lucille receives an annual salary of $37,500 based on a 37.5-hour workweek. What are her gross earnings for a two-week pay period in which she works 9 hours of overtime at 1½ times her regular rate of pay?

Simone's grades and course credits in her first semester at college are listed below. Using the table in Example 1.5D for converting Letter Grades to grade Point Value, calculate Simone's grade point average for the semester.

Evaluate the following: $\$ 325.75\left(1+\frac{0.105}{4}\right)^{2}$

If an interest rate (which could be greater than 10%) is to be calculated to the nearest 0.01%, what minimum number of digits must be retained in the numbers used to calculate the interest rate?

Evaluate $\frac{\$ 1050}{\left(1+\frac{0.065}{12}\right)^{3}}$

A survey of 254 randomly chosen residences in a city revealed that 4 had four flat screen television sets, 22 had three sets, 83 had two sets, 140 had one set, and 5 had no flat screen TV set at all. Based on the survey, what would you estimate to be the average number of flat screen TV sets per household?

The following mixed number 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. $7 \frac{7}{9}$

What is the percent Rate if a quantity is four times the size of the Base?

Evaluate the following: [4(2 x 3² - 2³) / (10 - 4 x 5)]

Fifteen minutes is what percentage of 2 hours?

Lauren's gross pay for July was $3188.35 on net sales totalling $88,630. If her base salary is $1,000 per month, what is her rate of commission on sales exceeding her monthly quota of $40,000?

Evaluate

Round the following to four-figure accuracy: 1,000.49

Calculate 0.54% of $200.