Exam 1: Review and Applications of Basic Mathematics

Evaluate the answer .: 5[19 + (5² - 16)²]²

Barbara's annual salary of $58,800 is paid weekly. She is paid at time and a half for any overtime beyond her regular workweek of 35 hours. What is her gross pay for a week in which she works 39 hours?

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. $\frac{10}{9}$

In 2016, Canada's population was 34,100,000 and Japan's population was 127,400,000. Canada's land area is 9,093,500 square kilometres but Japan's area is only 377,835 square kilometres. To the nearest 0.01%, what percentage was Canada's population density (people per square kilometre) of Japan's population density in 2016?

Evaluate the following accurate to the nearest cent: $\$ 454.76\left(1-0.105 \times \frac{11}{12}\right)$

How much more will a consumer pay for an item listed at $1,000 (pretax) in New Brunswick than in British Columbia?

Evaluate the following accurate to the nearest cent: $\$ 92\left(1+0.095 \times \frac{112}{365}\right)$

$0.58 \overline{3}{\%}$ of $1500 is what amount accurate to the cent?

A stockbroker is paid 45% of the commission her firm charges her clients. If she personally received $134.55 on a $11,500 transaction, what is the firm's commission rate?

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.

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. $-\frac{8}{3}$

315 is 1.7% of what number?

Sonal bought a new sound system for her car costing $616.31. Sonal lives in Calgary, and so the price included 5% GST. What was the selling price of the new sound system?

Evaluate the answer correct to the cent. $\frac{28-2\left(3+2^{2}-2\right)}{6}+3\left(\frac{3 \times 6^{2}}{4}\right)$

Evaluate the answer .: 20 - (4 × 2 - 8)

Evaluate (8 ¸ 5 - 2) ¸ (12 - 2 - 4) =

Evaluate 8 - 5 × 2 - 3 =

M Studios (Calgary) had retail sales of $166,465.25, including GST, for the last quarter. In the same period M Studios purchased $45,000 worth of supplies and paid $75,000 for store renovations, plus the GST on these goods and services. What GST must be remitted by M Studios (or refunded) for the last quarter?

Your regular workweek is 7.5 hours per day for five days. If you do not work on seven public holidays and you receive two weeks' vacation, what percentage of the total hours in a year are you actually at work? Assume that a year has exactly 52 weeks.

In a basketball game, the Langara College Falcons scored $54 . \overline{54} \% \text { of } 33 \text { shots from the } 2 \text {-point zone, }$ $46 . \overline{6} \%$ 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?