Compound Interest and Cellphone User

Entire Review Problems Cumulative- Practice 1. At a certain motorcar wash, 40 more cars than vans go through on a common day. If each car pays $12 and each van pays $16 and the total earned per day is $2244, aim the number of vans that go through the wash. 2. a) In the Fine Company, the CEO must invest in 30% more sh ars than the CFO. The shares sell for $10. 20 each and the total pry of the shares delivered by the deuce of them is $132 549. interpret the number of shares have by the CEO. b) The Fine Companys total profit for the course of study was $ccc 000.Determine the P/E proportion (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 malesfemales in the 1st class at TRSM is 54 this year. If the school had admitted 200 more males, the ratio would father been 32. Find the number of students actually admi tted this year. 4. a) Solve the system of equations b) If you graph both of these lines, what does the final result you found represent? c) Graph both lines and verify your answer graphically. . The following equations represent lines that are a) couple b) intersecting c) are the same line. Circle the correct answer. 3x-6y = 7 9x-18y=20 6. It turns out that $1 th under mug 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 can non 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 a lot profit does she make? 7. Solve for x 8. The following chart represents a survey d superstar on cellphone use as shown. Cellphone No Cellphone Total Under 25 600 blow 25 or over 260 320 Total If a person is selected at random from those polled, determine the opportunity that a) a cellphone user is selected b) a person under 25 is selected c) a person under 25 and a cellphone user is selected d) a person over 25 or a cellphone user is selected e) the person is over 25, given that (s)he is not a cellphone user If two people are selected from those polled, determine the chance that f) they are both cellphone users g) at least one of them is a cellphone user ) at least one of them is 25 or over, given that they are both cellphone users 9. In a game of Subtract, two dice are rolled and the littler number is always subtracted from the larger number. Put all the possible results on the chart shown below issue 1 2 3 4 5 6 1 2 3 4 5 6 Determine the probability that a) a sign of 4 is rolled b) a form is greater than or equal to zero c) a score is greater than 5 d) a score is less than or equal to 4 e) a score is less than 2, given that one damp shows a 3. ) The most likely score is rolled 10. Tel stock has gone up by 2%, up 15% and down 17% over the past three years. If t he stock was master copyly wanted at $10 per share, shown that the price has changed overall, even though the decreases and increments add up to 0% overall. Find the % increase or decrease over the three year period. 11. Forty percent of all car accidents bespeak alcohol. 80% of all drivers are over 25. Sixty percent of all accidents involving drivers age 25 or younger involve alcohol. An accident occurs. Find a) the probability that a driver consumed alcohol and is over 25. ) the probability that a driver is over 25 given that he/she has consumed alcohol. c) the probability that she/he is 25 or younger and has not consumed alcohol. 12. Let t represent the number of years I have owned a car. Let y represent the value of the car. Assume a linear model applies. (see circumvent below) a) Find the slope and rationalise what it represents b) Find the equation of the line c) Find the y intercept and explain what it means d) Fill in the missing values in the table. e) A second car I own has the formula y=-3000t + 29 910. When will the cars I own have the same value? t y 1 3 20000 12365 7275 13. A stock increases 6% annually each year for 8 years and is worth $80 per share at the end of that period of time. Find the original value when you purchased the stock if a) the interest was calculated on the basis of simple interest. b) the interest was calculated found on compound interest. 14. A company claims that they can double their money in one year less if the interest rate is 10% per annum compounded daily versus 9% per annum compounded annually. Verify or dispute this claim showing your calculations. Answers 1. 63 vans 2. a) CFO=5650 shares, CEO=7345 b) 8. 84 3. 1800 4. ) (2,-3) b) pt of intersection c) not shown 5. Parallel (same slope, different y intercept) 6. $793 (she makes 65 cents profit) 7. x=27 8 a) 43/64 b) 35/64 c) 15/32 d) 59/64 e) 16/21 f) 45. 1% g) 89. 25% h) 51. 35% 9. a) 1/9 b) 1 c) 0 d) 1/18 e) 5/11 f) 5/16 10. Lost 26 cents overall, 2. 6% 11. a) 28% b) 70% c) 8% 12. a) slope =-2545 means the car loses $2545 in value each year I own the car b) y=-2545t+27635 c) $27635= original price of car d)(1,25090), (8,7275) e) after 5 years, they are worth the same 13. a) $54. 05 b) $50. 19 14. It is true. In fact, it takes 1 year 39 days less time.