anonymous
  • anonymous
hey guys i usually dont do this much but i need some algebra help :(
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
jim_thompson5910
  • jim_thompson5910
post the full problem please
anonymous
  • anonymous
yessir
anonymous
  • anonymous
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

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More answers

anonymous
  • anonymous
ill post the question part neatly one sec
jim_thompson5910
  • jim_thompson5910
a screenshot would be better since you don't have to worry about weird format issues
anonymous
  • anonymous
oh okay one sec
anonymous
  • anonymous
1 Attachment
jim_thompson5910
  • jim_thompson5910
thanks
jim_thompson5910
  • jim_thompson5910
stock B is blank. Is that a typo?
anonymous
  • anonymous
my appologies
1 Attachment
jim_thompson5910
  • jim_thompson5910
ah I see now
jim_thompson5910
  • jim_thompson5910
so you can completely make up the equation for stock D as long as it fits those conditions
jim_thompson5910
  • jim_thompson5910
you first need to find the starting price for each stock do you know how to do this?
anonymous
  • anonymous
:/ not really man im trying to get this out of the way because im so far behind :(
jim_thompson5910
  • jim_thompson5910
plug x = 0 into the f(x) function what result pops out?
anonymous
  • anonymous
f(0) = 25(1.08)0??
jim_thompson5910
  • jim_thompson5910
more like 25*(1.08)^0
jim_thompson5910
  • jim_thompson5910
use a calculator to compute 25*(1.08)^0
anonymous
  • anonymous
25?
jim_thompson5910
  • jim_thompson5910
good
jim_thompson5910
  • jim_thompson5910
stock A's starting price is $25
jim_thompson5910
  • jim_thompson5910
stock B in the table, when x = 0, what is f(x) ?
anonymous
  • anonymous
22 i believe lol
jim_thompson5910
  • jim_thompson5910
yes
jim_thompson5910
  • jim_thompson5910
C says the initial price is $30
jim_thompson5910
  • jim_thompson5910
Initial prices A: $25 B: $22 C: $30 D: not yet determined
jim_thompson5910
  • jim_thompson5910
what is one possible price for D?
anonymous
  • anonymous
um i dont know 28 maybe
jim_thompson5910
  • jim_thompson5910
D has the second lowest starting price
anonymous
  • anonymous
wait what
anonymous
  • anonymous
oh 21.56??
jim_thompson5910
  • jim_thompson5910
sure, anything between 22 and 25
anonymous
  • anonymous
oh anything?
jim_thompson5910
  • jim_thompson5910
22 is the lowest, so pick anything between 22 and 25 to squeeze in D so it is the second lowest
anonymous
  • anonymous
o ok 23 sorry lol
anonymous
  • anonymous
and hey i reallly appreciate your help btw :)
jim_thompson5910
  • jim_thompson5910
np
jim_thompson5910
  • jim_thompson5910
yeah 23 works too
jim_thompson5910
  • jim_thompson5910
Initial prices A: $25 B: $22 C: $30 D: $23
jim_thompson5910
  • jim_thompson5910
now you need the growth rate of each stock A through C
anonymous
  • anonymous
um
anonymous
  • anonymous
i know c has a growth rate of 4% each day but not the others
jim_thompson5910
  • jim_thompson5910
stock A has a growth rate of 8% since 1.08 = 1+0.08 and 0.08 = 8%
anonymous
  • anonymous
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
jim_thompson5910
  • jim_thompson5910
is stock B growing or decaying
anonymous
  • anonymous
ahh i see, decaying my bad lol
jim_thompson5910
  • jim_thompson5910
solve for x 22*x = 21.56 x = ??
anonymous
  • anonymous
uh im stuck on that one lol
jim_thompson5910
  • jim_thompson5910
divide both sides by 22
anonymous
  • anonymous
divide both sides of what?
jim_thompson5910
  • jim_thompson5910
the equation
anonymous
  • anonymous
ohhh nvm duhhh jeses im dumb haha
jim_thompson5910
  • jim_thompson5910
|dw:1435624899470:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1435624917779:dw|
anonymous
  • anonymous
haha omgoodness i cant believe i was so blind there
anonymous
  • anonymous
yea i got it 0.98 haha
jim_thompson5910
  • jim_thompson5910
solve for r 1+r = 0.98
anonymous
  • anonymous
idk....?
anonymous
  • anonymous
omfg im ignoring basic math i subtract 1 from .98
jim_thompson5910
  • jim_thompson5910
yeah, so r = -0.02
anonymous
  • anonymous
0.02
jim_thompson5910
  • jim_thompson5910
the negative r value tells us we have decay of 2%
anonymous
  • anonymous
ahhh this is neat lol
jim_thompson5910
  • jim_thompson5910
you subtracted in the wrong order
anonymous
  • anonymous
oh...
jim_thompson5910
  • jim_thompson5910
Initial prices A: $25 B: $22 C: $30 D: $23 Growth Rates A: 8% B: -2% C: 4% D: yet to be determined
jim_thompson5910
  • jim_thompson5910
you get to make up a percentage for D make sure it is the second highest growth rate
anonymous
  • anonymous
A: $25 B: $22 C: $30 D: $23 Growth Rates A: 8% B: -2% C: 4% D: 6%
jim_thompson5910
  • jim_thompson5910
that works anything between 4% and 8%
anonymous
  • anonymous
aight
jim_thompson5910
  • jim_thompson5910
D starts at $23 has a growth rate of 6% the function for D is \[\Large D(x) = a(1+r)^x\] \[\Large D(x) = 23(1+0.06)^x\] \[\Large D(x) = 23(1.06)^x\]
anonymous
  • anonymous
ah you beat me to it lol so do i just put that third part as my answer
jim_thompson5910
  • jim_thompson5910
sorry about that
anonymous
  • anonymous
or all three equation piecs and no your fine :D
jim_thompson5910
  • jim_thompson5910
I would show work since most teachers want to see it
anonymous
  • anonymous
ok uno momento
anonymous
  • anonymous
back
jim_thompson5910
  • jim_thompson5910
hey
anonymous
  • anonymous
okay so like i have 0 ways to make a graph
jim_thompson5910
  • jim_thompson5910
you can use desmos https://www.desmos.com/calculator
anonymous
  • anonymous
ok i made the first graph what do i do with this next part
jim_thompson5910
  • jim_thompson5910
you're on #3, right? or no?
anonymous
  • anonymous
yes :) thanks to this awesome guy
jim_thompson5910
  • jim_thompson5910
all you're doing with #3 is shifting the graph of f(x) down 3 units
anonymous
  • anonymous
(you)*
jim_thompson5910
  • jim_thompson5910
the -3 tacked on the end means "the price drops 3 for each day"
jim_thompson5910
  • jim_thompson5910
so instead of starting with 25, you start with 22
anonymous
  • anonymous
how do i graph it?
jim_thompson5910
  • jim_thompson5910
type in 25*(1.08)^x - 3 into desmos
anonymous
  • anonymous
it wont let me save it to the computer tho
jim_thompson5910
  • jim_thompson5910
you can take a screenshot and paste it into your word doc
anonymous
  • anonymous
truu
anonymous
  • anonymous
ok and for part 4
jim_thompson5910
  • jim_thompson5910
were you able to graph the transformations for part 4?
anonymous
  • anonymous
idkwhat to do for part 4 i dont understand it
anonymous
  • anonymous
and sorry i took so long i ws starting dinner for the family
anonymous
  • anonymous
i totally just got it! thankyou so much sir!

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