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Quadratics. Money Math. That’s the way I log it. Exceptional Exponentials. Potpourri. 100. 100. 100. 100. 100. 200. 200. 200. 200. 200. 300. 300. 300. 300. 300. 400. 400. 400. 400. 400. 500. 500. 500. 500. 500.

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  1. Quadratics Money Math That’s the way I log it Exceptional Exponentials Potpourri 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

  2. Does the graph of open up or down? How do you know?

  3. It opens up because 3>0

  4. What is the vertex of the graph of y=f(x)?

  5. The vertex is (2, 7)

  6. How many x-intercepts does the graph of have?

  7. None, because

  8. Find the vertex of the graph

  9. The vertex is (-4, -1)

  10. Find the x-intercepts of

  11. The x-intercepts are(3,0) and (-1,0). (Either use the quadratic formula or factor)

  12. A $42 pair of jeans is on sale for 15% off. What is the sale price?

  13. 42 x (1-.15) = 42 x 0.85 = 35.7The sale price is $35.70.

  14. You put $650 into a savings account that earns 4.2% interest annually. How much will you have after 3 years if interest is compounded quarterly?

  15. Plug in to the BIG IMPORTANT FORMULA:You will have about $801.01

  16. DAILY DOUBLE DAILY DOUBLE

  17. You put $2000 into a college savings account that yields 5% interest annually. The bank only compounds interest once a year. How long will it take you to double your money?

  18. Set up the equation and solve for t: So, it will take approximately 14.21 years for your money to double!

  19. In credit card lingo, what does “APR” stand for and what does it mean?

  20. Annual Percentage Rate; it tells you how much interest you’ll get charged on whatever you don’t pay off immediately.

  21. You put $400 into an account that yields 6% annual interest. You’re not sure how many times each year interest is compounded. What is the maximum amount of money that will be in your account after 5 years?

  22. The best-case scenario is when interest is compounded continuously, so use the formula : So, the most you can have in your account after 5 years is $539.94.

  23. Rewrite in exponential form:

  24. Solve for x:

  25. So x=29

  26. Simplify using properties of logs: 4

  27. 4

  28. True or False (Explain!):

  29. False! not

  30. Simplify the following (no calculator):

  31. Bacteria in a culture are growing exponentially with time, as shown in the table below: Which of the following equations expresses the number of bacteria, y, present at any time, t? y=50+4t y=4t y=(50)(4t)

  32. The answer is (c). (Plug numbers into answer choices and see which one works!)

  33. There are 500 students at Low Tech High. The school population grows 10% per year. How many students will there be in 6 years?

  34. There will be approximately 886 students in 6 years.

  35. Simplify the following:

  36. x2

  37. Solve for x:

  38. So x=2

  39. If the equation y=(1/4)x is graphed, which of the following values of x would produce a point closest to the x-axis? Explain your answer! -5 -1 1 5

  40. The answer is (d).

  41. Find the complete solution to the following equation:

  42. So, x=5 or x=-19/3

  43. Which of the answer choices best describes the solution to the following system of equations? You must be able to justify your answer! (1, 2, 3) (-1, 2, 3) No solution Infinitely many solutions

  44. The answer is (d), infinitely many solutions. (They are actually all the same equation, just multiplied by a different number)

  45. How would you set up the following word problem?Karen’s fruit stand sells coconuts for $2.50 and mangos for $1.25. On a given day, she sells 150 pieces of fruit for a total of $247.50.

  46. c = # of coconutsm = # of mangosc + m = 150$2.50c + $1.25m = $247.50

  47. 8 friends get together. Every friend gives every other friend a hug. How many hugs are given?

  48. 7+6+5+4+3+2+1=28 hugs

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