Exam 1: Review and Applications of Basic Mathematics

Round the following to four-figure accuracy: 0.0090909

24 is 80% of 40

$281.25 is 225% of what amount accurate to the cent?

Johnston Distributing, Inc. files quarterly GST returns. The purchases on which it paid the GST and the sales on which it collected the GST for the last four quarters were as follows: Calculate the GST remittance or refund due for each quarter.

Evaluate 18 3 + (8 - 4) × (2 - 3) =

Converting .65785 to percentage form is 657.85%

Calculate 1.75% of $350 accurate to the cent.

What amount is 230% of $450?

Evaluate the answer correct to the cent: 3(6 + 4)² - 5(17 - 20)²

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.

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?

Jenna bought a car for $42,050.90, which included 8% PST and 5% GST. What was the selling price of the car?

Evaluate the following:

If the total of all assessed values rises by 5% over the current assessment, at what value must next year's mill rate be set?

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?

The value of 6[(22 + (5² - 12)³]² is $78,678

Carlos invested $10,000 at 7%, $20,000 at 6.5%, and $50,000 at 5%. What is the average rate of interest earned by his investments?

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

Svetlana is an independent insurance broker placing various clients with any of several insurance companies. On homeowner insurance policies, each month she receives: (i) $20 for each renewal of an existing policy, (ii) $35 per policy placed with a new client, and (iii) 5.5% of the annual premiums on all insurance policies (both new and renewals) written in the month. In October, she placed 37 new-client policies representing $14,375 in annual premiums and 126 policy renewals representing $47,880 in annual premiums. What amount did Svetlana earn in October?

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?