1. At a certain car wash, 40 more cars than vans go through on a typical day. If each car pays $12 and each van pays $16 and the total earned per day is $2244, find the number of vans that go through the wash.
2. a) In the Fine Company, the CEO must invest in 30% more shares than the CFO. The shares sell for $10.20 each and the total value of the shares owned by the two of them is $132 549. Find the number of shares owned by the CEO.
b) The Fine Company’s total profit for the year was $300 000. Determine the P/E ratio (price to earnings ratio) for Fine Company, assuming that the CEO and CFO together own 5% of the number of stocks in the company. (Remember that price=price per share and earnings= profit earned per share)
3. The ratio of males:females in the 1st year at TRSM is 5:4 this year. If the school had admitted 200 more males, the ratio would have been 3:2. Find the number of students actually admitted this year.
4. a) Solve the system of equations:
b) If you graph both of these lines, what does the answer you found represent?
c) Graph both lines and verify your answer graphically.
5. The following equations represent lines that are a) parallel b) intersecting c) are the same line. Circle the correct answer. 3x-6y = 7
6. It turns out that $1 CAN is worth 0. 63 euros. When I go to Europe and get ready to return to Canada, I have 500 Euros left, which I exchange. The person cannot give me change and always rounds down to the nearest Canadian dollar, in order to make a profit. How many Canadian dollars do I get back? How much profit does she make?
7. Solve for x:
8. The following chart represents a survey done on cellphone use as shown. | Cellphone| No Cellphone| Total|
Under 25| 600| 100| |
25 or over| 260| 320| |
Total| | | |
If a person is selected at random from those polled, determine the...