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anonymous

  • one year ago

hey guys i usually dont do this much but i need some algebra help :(

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  1. jim_thompson5910
    • one year ago
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    post the full problem please

  2. anonymous
    • one year ago
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    yessir

  3. anonymous
    • one year ago
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    Gordon is evaluating some stocks he wants to purchase. You can see the function of the stock price below. The variable x represents days. Stock A B C Price f(x) = 25(1.08)x x f(x) 0 22.00 1 21.56 2 21.13 The initial price of this stock is $30, but it has been increasing 4% each day. Create the price function for Stock D. It should have the second lowest starting price and the second highest rate of growth. Using complete sentences, justify that your function meets these requirements. Graph the price function for Stock D. Explain the key features of the graph with complete sentences. A recent drop in sales has affected Stock D with the function g(x) = –6. Explain to Gordon how Stock D’s new price function, f(x) + g(x), will be created. Graph f(x) + g(x). Gordon wants to fully understand what kind of changes could affect the money he is investing. Using complete sentences, explain the effect of the following transformations. Graph them and f(x) on the same coordinate plane. f(x + 2) f(–x) f(x) + 3

  4. anonymous
    • one year ago
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    ill post the question part neatly one sec

  5. jim_thompson5910
    • one year ago
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    a screenshot would be better since you don't have to worry about weird format issues

  6. anonymous
    • one year ago
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    oh okay one sec

  7. anonymous
    • one year ago
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  8. jim_thompson5910
    • one year ago
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    thanks

  9. jim_thompson5910
    • one year ago
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    stock B is blank. Is that a typo?

  10. anonymous
    • one year ago
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    my appologies

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  11. jim_thompson5910
    • one year ago
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    ah I see now

  12. jim_thompson5910
    • one year ago
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    so you can completely make up the equation for stock D as long as it fits those conditions

  13. jim_thompson5910
    • one year ago
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    you first need to find the starting price for each stock do you know how to do this?

  14. anonymous
    • one year ago
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    :/ not really man im trying to get this out of the way because im so far behind :(

  15. jim_thompson5910
    • one year ago
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    plug x = 0 into the f(x) function what result pops out?

  16. anonymous
    • one year ago
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    f(0) = 25(1.08)0??

  17. jim_thompson5910
    • one year ago
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    more like 25*(1.08)^0

  18. jim_thompson5910
    • one year ago
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    use a calculator to compute 25*(1.08)^0

  19. anonymous
    • one year ago
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    25?

  20. jim_thompson5910
    • one year ago
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    good

  21. jim_thompson5910
    • one year ago
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    stock A's starting price is $25

  22. jim_thompson5910
    • one year ago
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    stock B in the table, when x = 0, what is f(x) ?

  23. anonymous
    • one year ago
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    22 i believe lol

  24. jim_thompson5910
    • one year ago
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    yes

  25. jim_thompson5910
    • one year ago
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    C says the initial price is $30

  26. jim_thompson5910
    • one year ago
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    Initial prices A: $25 B: $22 C: $30 D: not yet determined

  27. jim_thompson5910
    • one year ago
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    what is one possible price for D?

  28. anonymous
    • one year ago
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    um i dont know 28 maybe

  29. jim_thompson5910
    • one year ago
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    D has the second lowest starting price

  30. anonymous
    • one year ago
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    wait what

  31. anonymous
    • one year ago
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    oh 21.56??

  32. jim_thompson5910
    • one year ago
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    sure, anything between 22 and 25

  33. anonymous
    • one year ago
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    oh anything?

  34. jim_thompson5910
    • one year ago
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    22 is the lowest, so pick anything between 22 and 25 to squeeze in D so it is the second lowest

  35. anonymous
    • one year ago
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    o ok 23 sorry lol

  36. anonymous
    • one year ago
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    and hey i reallly appreciate your help btw :)

  37. jim_thompson5910
    • one year ago
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    np

  38. jim_thompson5910
    • one year ago
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    yeah 23 works too

  39. jim_thompson5910
    • one year ago
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    Initial prices A: $25 B: $22 C: $30 D: $23

  40. jim_thompson5910
    • one year ago
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    now you need the growth rate of each stock A through C

  41. anonymous
    • one year ago
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    um

  42. anonymous
    • one year ago
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    i know c has a growth rate of 4% each day but not the others

  43. jim_thompson5910
    • one year ago
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    stock A has a growth rate of 8% since 1.08 = 1+0.08 and 0.08 = 8%

  44. anonymous
    • one year ago
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    okay but how do i find b is it inbetween 4 and 8 because i know D is going to have to be the second highest

  45. jim_thompson5910
    • one year ago
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    is stock B growing or decaying

  46. anonymous
    • one year ago
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    ahh i see, decaying my bad lol

  47. jim_thompson5910
    • one year ago
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    solve for x 22*x = 21.56 x = ??

  48. anonymous
    • one year ago
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    uh im stuck on that one lol

  49. jim_thompson5910
    • one year ago
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    divide both sides by 22

  50. anonymous
    • one year ago
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    divide both sides of what?

  51. jim_thompson5910
    • one year ago
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    the equation

  52. anonymous
    • one year ago
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    ohhh nvm duhhh jeses im dumb haha

  53. jim_thompson5910
    • one year ago
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    |dw:1435624899470:dw|

  54. jim_thompson5910
    • one year ago
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    |dw:1435624917779:dw|

  55. anonymous
    • one year ago
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    haha omgoodness i cant believe i was so blind there

  56. anonymous
    • one year ago
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    yea i got it 0.98 haha

  57. jim_thompson5910
    • one year ago
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    solve for r 1+r = 0.98

  58. anonymous
    • one year ago
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    idk....?

  59. anonymous
    • one year ago
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    omfg im ignoring basic math i subtract 1 from .98

  60. jim_thompson5910
    • one year ago
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    yeah, so r = -0.02

  61. anonymous
    • one year ago
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    0.02

  62. jim_thompson5910
    • one year ago
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    the negative r value tells us we have decay of 2%

  63. anonymous
    • one year ago
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    ahhh this is neat lol

  64. jim_thompson5910
    • one year ago
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    you subtracted in the wrong order

  65. anonymous
    • one year ago
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    oh...

  66. jim_thompson5910
    • one year ago
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    Initial prices A: $25 B: $22 C: $30 D: $23 Growth Rates A: 8% B: -2% C: 4% D: yet to be determined

  67. jim_thompson5910
    • one year ago
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    you get to make up a percentage for D make sure it is the second highest growth rate

  68. anonymous
    • one year ago
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    A: $25 B: $22 C: $30 D: $23 Growth Rates A: 8% B: -2% C: 4% D: 6%

  69. jim_thompson5910
    • one year ago
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    that works anything between 4% and 8%

  70. anonymous
    • one year ago
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    aight

  71. jim_thompson5910
    • one year ago
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    D starts at $23 has a growth rate of 6% the function for D is \[\Large D(x) = a(1+r)^x\] \[\Large D(x) = 23(1+0.06)^x\] \[\Large D(x) = 23(1.06)^x\]

  72. anonymous
    • one year ago
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    ah you beat me to it lol so do i just put that third part as my answer

  73. jim_thompson5910
    • one year ago
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    sorry about that

  74. anonymous
    • one year ago
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    or all three equation piecs and no your fine :D

  75. jim_thompson5910
    • one year ago
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    I would show work since most teachers want to see it

  76. anonymous
    • one year ago
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    ok uno momento

  77. anonymous
    • one year ago
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    back

  78. jim_thompson5910
    • one year ago
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    hey

  79. anonymous
    • one year ago
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    okay so like i have 0 ways to make a graph

  80. jim_thompson5910
    • one year ago
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    you can use desmos https://www.desmos.com/calculator

  81. anonymous
    • one year ago
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    ok i made the first graph what do i do with this next part

  82. jim_thompson5910
    • one year ago
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    you're on #3, right? or no?

  83. anonymous
    • one year ago
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    yes :) thanks to this awesome guy

  84. jim_thompson5910
    • one year ago
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    all you're doing with #3 is shifting the graph of f(x) down 3 units

  85. anonymous
    • one year ago
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    (you)*

  86. jim_thompson5910
    • one year ago
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    the -3 tacked on the end means "the price drops 3 for each day"

  87. jim_thompson5910
    • one year ago
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    so instead of starting with 25, you start with 22

  88. anonymous
    • one year ago
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    how do i graph it?

  89. jim_thompson5910
    • one year ago
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    type in 25*(1.08)^x - 3 into desmos

  90. anonymous
    • one year ago
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    it wont let me save it to the computer tho

  91. jim_thompson5910
    • one year ago
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    you can take a screenshot and paste it into your word doc

  92. anonymous
    • one year ago
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    truu

  93. anonymous
    • one year ago
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    ok and for part 4

  94. jim_thompson5910
    • one year ago
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    were you able to graph the transformations for part 4?

  95. anonymous
    • one year ago
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    idkwhat to do for part 4 i dont understand it

  96. anonymous
    • one year ago
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    and sorry i took so long i ws starting dinner for the family

  97. anonymous
    • one year ago
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    i totally just got it! thankyou so much sir!

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