Exam 1: Review and Applications of Basic Mathematics

A sales representative is paid the greater of $1,275 per week or 9% of sales. At what volume of sales will she start to earn more from the commission-based compensation?

What is his total remuneration for a two-week period in which he worked 4.5 hours overtime at time-and-a-half?

What is the percent Rate if a quantity is $\frac{1}{1000}$ of the Base?

$45 is 60% of what amount accurate to the cent?

Evaluate $\$ 20,000\left[\frac{\left(1+\frac{0.05}{2}\right)^{4}-1}{\frac{0.05}{2}}\right]$

The Royal Canadian Mint sells one troy ounce (31.16 grams) platinum collector coins of 99.95% purity. How many milligrams of impurities are in a single coin?

Evaluate the answer correct to the cent: $\$ 100\left(\frac{(1+0.04)^{2}-1}{0.04}\right)$

Evaluate the following accurate to the nearest cent: $\$ 1000\left[\frac{\left(1+\frac{0.09}{12}\right)^{7}-1}{\frac{0.09}{12}}\right]$

Tom sells mutual funds on a graduated commission structure. He receives 3.3% on the first $50,000 of sales in a month, 4.4% on the next $50,000, and 5.5% on all further sales. What are his gross earnings for a month in which he sells $140,000 worth of mutual funds?

What percent is $1.50 of $11.50 accurate to three significant figures?

Alihan's transcript shows the following academic record for four semesters of part-time college studies. Calculate his cumulative GPA at the end of his fourth semester.

Cliff is a sales manager for a convention centre. He is paid on a graduated commission scale of 0.5% on the first $200,000, 0.7% on the next $300,000, and 0.8% on all additional sales for the month. What are Cliff's gross earnings in a month in which he sells: a) $400,000? b) $700,000?

The following fraction has a terminating decimal equivalent form. Express its decimal and percent equivalent forms to five-figure accuracy: $\frac{25}{1000}$

Calculate the final value of the following equation $\frac{1,850}{\left(1+\frac{.125}{12}\right)^{4}}$

What percent of $950 is $590 accurate to three significant figures?

A manufacturing operation began with 85 staff members. On April 1, 4 employees were hired; on June 1, 3 employees retired; and on November 1, another 3 employees were hired. Determine the average number of workers during the year.

Evaluate the following: $\$ 213.85\left(1-0.095 \times \frac{5}{12}\right)$

Evaluate the following accurate to the nearest cent:

A customer has a first mortgage of $100,000 at 5.5% and a second mortgage of $50,000 at 7.8%. What is the average rate of mortgage that the customer pays?

A homeowner's tax statement lists the following mill rates for various municipal services: The homeowner paid $3937.50 in property taxes last year. What is the assessed value of his property?