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KJ4UTS

  • one year ago

Write a function to describe each investment of $1000: -stock increasing in value 19% per year -stock decreasing in value 9% each year If the time is needed to write the function it is 3 years. Stock increasing $1000 * 1.19 ^ 3 = $1685.159 Stock decreasing $1000 * 0.91 ^ 3 = $753.571 You can replace 3 by n for number of years in both cases Did I do the math right for this, particularly the decimals? Would this problem be considered a function?

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  1. KJ4UTS
    • one year ago
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    The question that I have is to think of a function that you encounter in your everyday life. Carefully describe the inputs and corresponding outputs. Give your function a name and illustrate how you would use functional notation with your function. Describe the domain and range of your function. I think the domain or input would be the initial investment and the range or output would be the profit or loss.

  2. triciaal
    • one year ago
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    increase add decrease subtract compound interest in both cases a = P(1 +r/n)^nt 1000*1.19^n 1000*0.91^n agree

  3. KJ4UTS
    • one year ago
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    So would this example also be a function if you buy 100 shares at $20 each and sell them at $22 each, your profit is $200 [100 x ($22 - $20) = 100 x $2] minus commission costs of $19.90, or $181.10.

  4. KJ4UTS
    • one year ago
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    I am confused with the 1.19 and the 0.91 would 19% be 0.19 and 9% 0.09 as a decimal?

  5. triciaal
    • one year ago
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    |dw:1440960836670:dw|

  6. triciaal
    • one year ago
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    |dw:1440961060228:dw|

  7. KJ4UTS
    • one year ago
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    Oh ok so both of these examples are considered functions because they have an input and output. I think compound interest is an exponential function. What would function notation be for these problems?

  8. triciaal
    • one year ago
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    function only one output for a particular input

  9. triciaal
    • one year ago
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    compound interest yes exponential function y varies as power of x

  10. KJ4UTS
    • one year ago
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    and my second example also applies?

  11. triciaal
    • one year ago
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    function notation domain set of input values x: x > or = 1000 range set output values min <y< max

  12. triciaal
    • one year ago
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    buying shares example you need to state the commission cost net profit = revenue - expenses profit = (sales - cost )*no of shares - fixed expense the commission remember y = m*x + b

  13. triciaal
    • one year ago
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    review any set (x, y) is a relation but when only 1 y for a given x then you have a function

  14. KJ4UTS
    • one year ago
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    @triciaal thank you for your time and help I am just still not 100% clear if these examples are functions to me I think they have 1 y for a given x?

  15. triciaal
    • one year ago
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    yes functions only 1 y for any given x

  16. KJ4UTS
    • one year ago
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    thank you!

  17. KJ4UTS
    • one year ago
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    If you don't mind what do you think of this example I came up with Say I have an initial investment of $2,000 and I buy Jet Blue (JBLU) stock for $22.30 per share. $2,000/$22.30=89.69 or 89 shares The stock then goes up to a price of $24.64. 89 (shares) * $24.64 (share price) = $2,192.96 (total value) $2.192.96 - $2,000 = $192.96 (Profit)

  18. triciaal
    • one year ago
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    the interest received varies as the length of time for the investment the amount accumulated depends on the time invested

  19. KJ4UTS
    • one year ago
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    Ok I think I understand it better.

  20. triciaal
    • one year ago
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    I think you need to define what you are doing then apply the example

  21. KJ4UTS
    • one year ago
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    Doing as far as a goal?

  22. triciaal
    • one year ago
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    If you don't mind what do you think of this example I came up with Say I have an initial investment of $2,000 and I buy Jet Blue (JBLU) stock for $22.30 per share. $2,000/$22.30=89.69 or 89 shares The stock then goes up to a price of $24.64. 89 (shares) * $24.64 (share price) = $2,192.96 (total value) $2.192.96 - $2,000 = $192.96 (Profit)

  23. triciaal
    • one year ago
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    with this a) if I have $2000 to invest in jet blue share that cost 22.30 per share how many share will I be able to purchase ? 2000 = 22.30 * x no of shares = investment / cost per share b)I own 89 shares of jet blue stocks and value increased by $2 how much will I profit total profit = no of shares * profit per share

  24. triciaal
    • one year ago
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    what I am saying is you are putting too much together as one

  25. KJ4UTS
    • one year ago
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    I see I need to break it up into two parts and this would still be a function right?

  26. triciaal
    • one year ago
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    saying here you have 2 functions

  27. KJ4UTS
    • one year ago
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    ok thank you very much

  28. triciaal
    • one year ago
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    sounds a little more challenging made an initial investment in jet blue of 2000 when share were 22.30/share if now value is 24.64 how much did I profit?

  29. triciaal
    • one year ago
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    *24.64 per share

  30. triciaal
    • one year ago
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    do you see this is YOUR example with both parts. I just worded it so that it flows and leads into what you are doing in terms of how to solve

  31. triciaal
    • one year ago
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    profit = change in price * no of shares

  32. KJ4UTS
    • one year ago
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    I see you worded the question so someone could answer it where I just answered it without a clear question.

  33. triciaal
    • one year ago
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    you got it!!

  34. KJ4UTS
    • one year ago
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    :)

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