Exam 1: Review and Applications of Basic Mathematics

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.

315 is 1.7% of what number?

What is his gross salary per pay period?

The balance on Nucorp's revolving loan began the month at $35,000. On the eighth of the month another $10,000 was borrowed. Nucorp was able to repay $20,000 on the 25^th of the 31-day month. What was the average balance on the loan during the month? (Use each day's closing balance as the loan balance for the day.)

Nitin is paid on a graduated commission scale. His base salary is $1,500 per month and he receives commission at the rate of 2% for the first $10,000 of sales in a month, 3% on the next $20,000, and 4.5% on all further sales. How much will Nitin earn in a month in which his sales are $60,000?

Elita 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.

If a time period of approximately five years is to be calculated to the nearest month, how many figures must be retained in the numbers used in the calculations?

A restaurant owner set her menu prices at a defined percentage of her input costs for food, ingredients, and beverages. The prices as a percentage of these costs are 300% for appetizers, 200% for entrees, 225% for desserts, and 250% for beverages. The restaurant's revenue breaks down as follows: 10% from appetizers, 50% from entrees, 25% from beverages, and 15% from desserts. On average, what are menu prices as a percentage of the basic input costs? Overall, what are the input costs as a percentage of revenue?

$4.55 is what percent of $9,100?

Evaluate the following:

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

Suppose that, one year ago, you invested $20,000 in mutual fund A and $10,000 in mutual fund B. Which fund had the higher rate of return in the past year if the weighted average of the two rates of return exceeds the simple average? Present your reasoning.

Evaluate the following:

Evaluate the answer correct to the cent:

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

Calculate next year's mill rate.

Sawchuk's Home and Garden Centre files monthly HST returns. The purchases on which it paid the HST and the sales on which it collected the HST for the last four months were as follows: Based on an HST rate of 13%, calculate the HST remittance or refund due for each month.

Evaluate =

Evaluate the following:

Lien, the proprietor of a grocery store, prepares her Deluxe Nut Combo by mixing various ingredients she buys in bulk. Her recipe calls for 5 kg of peanuts, 2 kg of cashews, 1 kg of almonds, 500 g of sunflower seeds, 400 g of raisins, and 300 g of Smarties. In order to set the retail price at 150% of her cost, Lien must determine her cost based on the average wholesale price of the ingredients. These prices are $2.95/kg for peanuts, $9.50/kg for cashews, $11.50/kg for almonds, $2.75/kg for sunflower seeds, $3.60/kg for raisins, and $6.40/kg for Smarties. a) What is Lien's average cost per 100 g of her Deluxe Nut Combo? b) What is her retail price per 100 g?