Compound Interest and Cellphone User

Entire Review Problems Cumulative- Practice 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 chief executive officer must invest in 30% more shargons than the CFO. The sh ares sell for $10. 20 each and the total assess of the shares causeed by the two of them is $132 549. shape the number of shares owned by the chief operating officer. b) The Fine Companys total pull ahead for the socio-economic class was $ccc 000. pin down the P/E ratio ( hurt 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 year at TRSM is 54 this year. If the school had admitted cc more males, the ratio would dumbfound been 32. Fin d 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 patch up? c) Graph both lines and verify your answer graphically. . The following equations represent lines that are a) parallel b) intersecting c) are the same line. Circle the correct answer. 3x-6y = 7 9x-18y=20 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 rear endnot give me change and ever so rounds pass to the nearest Canadian dollar, in order to make a profit. How galore(postnominal) Canadian dollars do I get back? How much profit does she make? 7. Solve for x 8. The following chart represents a keep up done on cadre use as shown. Cellphone No Cellphone Total Under 25 600 100 25 or everywhere 260 320 Total If a person is selected at random from those polled, match the opportunity that a) a cellph one user is selected b) a person downstairs 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 probability 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 smaller number is always subtracted from the larger number. Put all the possible results on the chart shown under Result 1 2 3 4 5 6 1 2 3 4 5 6 Determine the probability that a) a dispatch of 4 is rolled b) a score is great 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 die 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 the stock was originally take to bed at $10 per share, shown that the price has changed overall, even though the decreases and increases add up to 0% overall. Find the % increase or decrease over the three year period. 11. forty percent of all car accidents involve 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 re foster of the car. Assume a linear model applies. (see table below) a) Find the huckster and explain what it represents b) Find the equation of the line c) Find the y break and explain what it way d) Fill in the m issing 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 affaire was calculated on the basis of simple pursuit. b) the interest was calculated based 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. rove 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. at sea 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.