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Mathematics 15 Online
OpenStudy (anonymous):

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

jimthompson5910 (jim_thompson5910):

post the full problem please

OpenStudy (anonymous):

yessir

OpenStudy (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

OpenStudy (anonymous):

ill post the question part neatly one sec

jimthompson5910 (jim_thompson5910):

a screenshot would be better since you don't have to worry about weird format issues

OpenStudy (anonymous):

oh okay one sec

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

thanks

jimthompson5910 (jim_thompson5910):

stock B is blank. Is that a typo?

OpenStudy (anonymous):

my appologies

jimthompson5910 (jim_thompson5910):

ah I see now

jimthompson5910 (jim_thompson5910):

so you can completely make up the equation for stock D as long as it fits those conditions

jimthompson5910 (jim_thompson5910):

you first need to find the starting price for each stock do you know how to do this?

OpenStudy (anonymous):

:/ not really man im trying to get this out of the way because im so far behind :(

jimthompson5910 (jim_thompson5910):

plug x = 0 into the f(x) function what result pops out?

OpenStudy (anonymous):

f(0) = 25(1.08)0??

jimthompson5910 (jim_thompson5910):

more like 25*(1.08)^0

jimthompson5910 (jim_thompson5910):

use a calculator to compute 25*(1.08)^0

OpenStudy (anonymous):

25?

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

stock A's starting price is $25

jimthompson5910 (jim_thompson5910):

stock B in the table, when x = 0, what is f(x) ?

OpenStudy (anonymous):

22 i believe lol

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

C says the initial price is $30

jimthompson5910 (jim_thompson5910):

Initial prices A: $25 B: $22 C: $30 D: not yet determined

jimthompson5910 (jim_thompson5910):

what is one possible price for D?

OpenStudy (anonymous):

um i dont know 28 maybe

jimthompson5910 (jim_thompson5910):

D has the second lowest starting price

OpenStudy (anonymous):

wait what

OpenStudy (anonymous):

oh 21.56??

jimthompson5910 (jim_thompson5910):

sure, anything between 22 and 25

OpenStudy (anonymous):

oh anything?

jimthompson5910 (jim_thompson5910):

22 is the lowest, so pick anything between 22 and 25 to squeeze in D so it is the second lowest

OpenStudy (anonymous):

o ok 23 sorry lol

OpenStudy (anonymous):

and hey i reallly appreciate your help btw :)

jimthompson5910 (jim_thompson5910):

np

jimthompson5910 (jim_thompson5910):

yeah 23 works too

jimthompson5910 (jim_thompson5910):

Initial prices A: $25 B: $22 C: $30 D: $23

jimthompson5910 (jim_thompson5910):

now you need the growth rate of each stock A through C

OpenStudy (anonymous):

um

OpenStudy (anonymous):

i know c has a growth rate of 4% each day but not the others

jimthompson5910 (jim_thompson5910):

stock A has a growth rate of 8% since 1.08 = 1+0.08 and 0.08 = 8%

OpenStudy (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

jimthompson5910 (jim_thompson5910):

is stock B growing or decaying

OpenStudy (anonymous):

ahh i see, decaying my bad lol

jimthompson5910 (jim_thompson5910):

solve for x 22*x = 21.56 x = ??

OpenStudy (anonymous):

uh im stuck on that one lol

jimthompson5910 (jim_thompson5910):

divide both sides by 22

OpenStudy (anonymous):

divide both sides of what?

jimthompson5910 (jim_thompson5910):

the equation

OpenStudy (anonymous):

ohhh nvm duhhh jeses im dumb haha

jimthompson5910 (jim_thompson5910):

|dw:1435624899470:dw|

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