Exam 1: Review and Applications of Basic Mathematics

What is the percent Rate if a quantity is of the Base?

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.

Calculate the price including both GST and PST, that an individual will pay for a car sold for $26,995.00 in Manitoba (GST = 5%, PST = 7%)

Kristina is a sales representative for a pharmaceutical company. She is paid the greater of $3,500 per month or 5% of sales. a) What are her earnings for the month if her sales are $60,000? $78,000? b) At what volume of sales per month will she start to earn more from the commission-based compensation?

Sonja is paid $42.50 per hour as a veterinarian. She is paid 1½ times the regular rate for all time exceeding 7½ hours in a day or 37½ hours per week. Work on a statutory holiday is paid at double time. What were her gross earnings for a week in which she worked 6, 0, 3, 7½, 9, 7½, and 8 hours on Saturday to Friday, respectively, and the Monday was a statutory holiday?

The following mixed number has a terminating decimal equivalent form. Express its decimal and percent equivalent forms to five-figure accuracy:

In a basketball game, the Langara College Falcons scored % of 33 shots from the 2-point zone, % of 15 attempts from the 3-point distance, and 79.3% of 29 foul shots (1 point each). How many points did the Falcons score?

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?

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

The city of Vancouver has $8.4 billion in assessed value of property. The city collected $51.66 million in revenues. The mill rate was 6.15.

7½% of what amount is $1.46 accurate to the cent?

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?

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

Evaluate the answer correct to the cent: 180 - 2[( -3 × 23 + 128 ÷42) + 6(-3+ 7)]

Mike has a credit card debt of $7,000 at a rate of 14%, a car loan of $10,000 at 8% and a $250,000 mortgage at a rate of 6.5%. His average interest rate is 6.9%

Evaluate the answer correct to the cent: 5 + (32 - 3)² ÷ (9 + 3)

M Studios (Quebec) had retail sales of $293,635.25, including PST and GST, for the last quarter. In the same period M Studios purchased $250,000 worth of supplies and paid the GST on these goods. What GST must be remitted by M Studios (or refunded) for the last quarter?

Evaluate the following:

Evaluate the answer correct to the cent:

Monica's net pay is 81% of her gross pay. Her net pay for two weeks is $1069.20. What is her gross pay for two weeks?