PLZ HLP!:) The weekly sales in thousands of items of a product has a seasonal sales record approximated by (t is time in weeks with t = 1 referring to the first week in the year). During which week(s) will the sales equal 96,990 items?

- anonymous

- katieb

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- anonymous

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- anonymous

ok so what did you try to do ?

- anonymous

im ost in this cant u cant lol im forced to take a high school calc class and this isnt even calc fml i just cant fail this last test

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- anonymous

lost

- anonymous

i know how to plug in formulas thats about it to be honest

- anonymous

im sorry to hear that :(
anyway you have this equation that you gave me
it describes the amount of itmes for a given t (week)

- anonymous

you look for a certain amount of items and find the corresponding t

- anonymous

ok

- anonymous

plug in one for t for everything

- anonymous

no, you want to find t

- anonymous

im 23 this is sad

- anonymous

im 23 as well .. it is fine

- anonymous

but i thought it says t=1 in the problem

- anonymous

:)

- anonymous

no, they say that t=1 means the first week

- anonymous

ahh gotcha

- anonymous

now when you find t , for example if you find t = 10 you know that it is the 10th week in year

- anonymous

now, you got the equation :
n=84.59 + 24.8sin(pi*t/24)

- anonymous

and they ask you for what weeks n = 96,990

- anonymous

i got undefined ...

- anonymous

so you have to solve:
96,990 = 84.59 + 24.8sin(pi*t/24)
i guess here 84.59 means 84590
and 24.8 means 24800

- anonymous

so it is really should be :
96.99 = 84.59 + 24.8sin(pi*t/24)

- anonymous

since they say "n is in thousands of items"

- anonymous

im getting a crazy calculation

- anonymous

http://mathway.com/answer.aspx?p=trig?p=96.99SMB15SMB01SMB1584.59SMB15+SMB1524.8sin(SMB19*tSMB1024)?p=1?p=?p=?p=?p=?p=0?p=?p=0?p=?p=?p=SolveSMB15theSMB15EquationSMB15forSMB15t

- anonymous

why, look:
96.99 = 84.59 + 24.8sin(pi*t/24)
12.4 = 24.8sin(pi*t/24)
0.5 = sin(pi*t/24)

- anonymous

week 4, week 20, and week 52?

- anonymous

wait ill check :)

- anonymous

0.5 = sin(pi/6)
so :
sin(pi/6) = sin(pi*t/24)
1. pi*t/24 = pi/6 + 2pi*k
t = 4 + 48*k
t = 4 , 52
2. pi*t/24 = pi - pi/6 + 2pi*k
t = 20 + 48*k
t=20
so yes!
4 20 52

- anonymous

yay ur being my life saver right now!!!

- anonymous

THANK U SOO MUCH

- anonymous

yw :))

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