Exam 1: Review and Applications of Basic Mathematics

$4.55 is what percent of $9,100?

Give three examples of values which have only two or three digits but nevertheless are known with perfect accuracy.

$8 \frac{7}{9} \%$ of $13,500 is $1,185

Evaluate 3(8 - 4)² × (2 - 3)² =

$1.25 is ¾% of what amount accurate to the cent?

$10 is 0.5% of what amount accurate to the cent?

0.75% of $100 is what amount accurate to the cent?

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?

Nitin is paid a base salary of $300 per week and commission at the rate of 2.5% for sales over $5,000, 4% if his sales are over $10,000, and 4.5% if sales are over $25,000. How much will Nitin earn in a week in which his sales are $20,000?

If a final result of the order of five million dollars is to be accurate to the nearest dollar, how many figures must be maintained in the calculations?

One year ago Helga allocated the funds in her portfolio among five securities in the amounts listed in the following table. The rate of return on each security for the year is given in the third column of the table. Calculate the rate of return for the entire portfolio.

Evaluate the following: 30 / (3 + 12) / 2

Jason earns $17.00 per hour for a forty-hour week. His overtime rate is 1 ½ times any hours exceeding forty in a week. What will Sam's gross earnings be for a week if he works 42.5 hours?

Marcel must temporarily invest some extra funds in his retail business every fall to purchase inventory in preparation for the Christmas season. On September 1 he already had a total of $57,000 invested in his business. On October 1 he invested another $15,000, and on November 1 he injected $27,000. He was able to withdraw $23,000 on February 1, $13,000 on March 1, and $6,000 on May 1. What was the average cumulative investment in the business during the period from September 1 to August 31? (Assume that each month has the same length.)

Evaluate the following accurate to the nearest cent: $\frac{\$ 6600\left(1+0.085 \times \frac{153}{365}\right)}{1+0.125 \times \frac{82}{365}}$

The fraction $\frac{25}{10.000}$ converted to percentage form is .25%

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. $\frac{37}{27}$

$559.35 is 113% of what amount accurate to the cent?

Daniella's gross monthly earnings are based on commission rates of 4% of the first $40,000 of sales, 5% of the next $50,000, and 6% of all additional sales for the month. What was her sales total for a month in which she earns $5,350?

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. It took on 6 more employees on September 1, hired another 18 on November 1, and added 23 more on December 1. Eleven employees were laid off on March 1, 20 were let go on April 1, and another 16 departed on May 1, leaving only the permanent maintenance personnel. What was the average number of employees per month working for Pine Valley during the fiscal year? (Assume that each month has the same length.)