KJ4UTS
  • KJ4UTS
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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KJ4UTS
  • KJ4UTS
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.
triciaal
  • triciaal
increase add decrease subtract compound interest in both cases a = P(1 +r/n)^nt 1000*1.19^n 1000*0.91^n agree
KJ4UTS
  • KJ4UTS
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.

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KJ4UTS
  • KJ4UTS
I am confused with the 1.19 and the 0.91 would 19% be 0.19 and 9% 0.09 as a decimal?
triciaal
  • triciaal
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triciaal
  • triciaal
|dw:1440961060228:dw|
KJ4UTS
  • KJ4UTS
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?
triciaal
  • triciaal
function only one output for a particular input
triciaal
  • triciaal
compound interest yes exponential function y varies as power of x
KJ4UTS
  • KJ4UTS
and my second example also applies?
triciaal
  • triciaal
function notation domain set of input values x: x > or = 1000 range set output values min
triciaal
  • triciaal
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
triciaal
  • triciaal
review any set (x, y) is a relation but when only 1 y for a given x then you have a function
KJ4UTS
  • KJ4UTS
@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?
triciaal
  • triciaal
yes functions only 1 y for any given x
KJ4UTS
  • KJ4UTS
thank you!
KJ4UTS
  • KJ4UTS
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)
triciaal
  • triciaal
the interest received varies as the length of time for the investment the amount accumulated depends on the time invested
KJ4UTS
  • KJ4UTS
Ok I think I understand it better.
triciaal
  • triciaal
I think you need to define what you are doing then apply the example
KJ4UTS
  • KJ4UTS
Doing as far as a goal?
triciaal
  • triciaal
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)
triciaal
  • triciaal
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
triciaal
  • triciaal
what I am saying is you are putting too much together as one
KJ4UTS
  • KJ4UTS
I see I need to break it up into two parts and this would still be a function right?
triciaal
  • triciaal
saying here you have 2 functions
KJ4UTS
  • KJ4UTS
ok thank you very much
triciaal
  • triciaal
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?
triciaal
  • triciaal
*24.64 per share
triciaal
  • triciaal
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
triciaal
  • triciaal
profit = change in price * no of shares
KJ4UTS
  • KJ4UTS
I see you worded the question so someone could answer it where I just answered it without a clear question.
triciaal
  • triciaal
you got it!!
KJ4UTS
  • KJ4UTS
:)

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