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Mathematics 24 Online
OpenStudy (anonymous):

how do you figure an original price if you are 180$ less than the original price after it has been decreased by 20% twice.

OpenStudy (owlfred):

Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

OpenStudy (amistre64):

20% twice eh... gotta read the whole thing

OpenStudy (amistre64):

180 = P(1 - .2)^2 180 ----- = P perhaps? (.8)^2 180/.64 = 281.25 ; lets test that

OpenStudy (amistre64):

281.25(.8) =225 225(.8) = 180

OpenStudy (anonymous):

they say the answer is 500 If I reduce 500 by 20% twice I get 180. but I can do the reverse?

OpenStudy (amistre64):

...... lets see what they are talking about then 500*.8 = 400 ... i dont see it as 500

OpenStudy (amistre64):

500*.2 = 100 and at best that gets you to 300

OpenStudy (amistre64):

Original Price (.8) = sale price at 20% 0ff

OpenStudy (amistre64):

if its marked down twice from the original price wed still be less than 500

OpenStudy (amistre64):

Original Price(.6) = 40% off original and thats 300 at best

OpenStudy (anonymous):

500x.20=100 500-100=400 400x.20=80 400-80=320 320+180=500 ...how do I do it in reverse if all I know is the price was reduce 180$ after been decreased by 20% twice.

OpenStudy (amistre64):

Price paid -------------- = Original Price (1- %)^how often 180 -------- = 281.25 (1 - .2)^2

OpenStudy (anonymous):

I have no idea what that means/ sorry

OpenStudy (amistre64):

... which part?

OpenStudy (amistre64):

Do you know how much was paid?

OpenStudy (anonymous):

no only reduce by 180$ after 20% decrease twice

OpenStudy (amistre64):

ohhh; i read it wrong... I thought 180 was the amount paid....

OpenStudy (amistre64):

P(.2) = Amount reduced Amount reduced(.2) = 180 is what yor looking for right?

OpenStudy (anonymous):

the amount was reduce twice by 20% ??? was reduced by 180$ what the original amount

OpenStudy (amistre64):

close to it

OpenStudy (anonymous):

What does this symbol mean ^

OpenStudy (amistre64):

its how you indicate an exponent on a keyboard

OpenStudy (amistre64):

it point up to tell you the number is a little higher

OpenStudy (anonymous):

OH

OpenStudy (amistre64):

3^2 = 9

OpenStudy (amistre64):

A{n} = A{n-1} - A{n-1}(.2) A{n-1} = A{n-2}(.2) - A{n-2}(.2)(.2) maybe

OpenStudy (anonymous):

Thanks but it just doesn't make any sense

OpenStudy (amistre64):

its a work in progress :) but I think I narrowed it down tho this:

OpenStudy (amistre64):

Po(.2) = %off1 Po(.8) = saleprice saleprice(.2) = %off 2 %off1 + %off2 = 180

OpenStudy (amistre64):

Po(.2) + Po(.8)(.2) = 180 Po(.2 + .16) = 180 Po = 180/(.36) maybe?

OpenStudy (amistre64):

Po = 180/.36 = 500

OpenStudy (anonymous):

were did the .36 com from

OpenStudy (amistre64):

.2 + .16 = .36

OpenStudy (amistre64):

First step; lets agree that the steps I took are valid.. Po(.2) = %off1 agree?

OpenStudy (anonymous):

yes

OpenStudy (amistre64):

Po(.8) = sale price sale price (.2) = %off2 agree?

OpenStudy (anonymous):

OK

OpenStudy (amistre64):

%off1 + %off2 = 180 Po(.2) + Po(.8)(.2) = 180 agree?

OpenStudy (anonymous):

yes

OpenStudy (amistre64):

Po(.2) + Po(.16) = 180 Po(.2 + .16) = 180 Po(.36) = 180 agree?

OpenStudy (anonymous):

where did the .16 come from

OpenStudy (amistre64):

.8 times .2 = .16

OpenStudy (amistre64):

Po(.8)(.2) = Po(.16)

OpenStudy (anonymous):

how would I know to do that.....makes no sense

OpenStudy (amistre64):

.......... I really cant step this down much further. You know that Po(.8) = sale price ; and also that sale price(.2) = %off2 So we put that all together to get: Po(.8)(.2) = Po(.16)

OpenStudy (anonymous):

looks like a lot of people like your help, amistre can you help with my trignometric substitution problem?

OpenStudy (amistre64):

I can try :)

OpenStudy (anonymous):

cool meet you there, thanks so much

OpenStudy (anonymous):

thanks sorry to hold you to long

OpenStudy (amistre64):

'sok.... the math keeps :)

OpenStudy (amistre64):

do you see how it works thru that? all we did was define our steps, then added the Po to it to keep track of the 'original price'

OpenStudy (amistre64):

if we know how the original price plays a part in this; we can solve for it

OpenStudy (anonymous):

when I add the % I total 100%. never though of multiply them...still don;t know why you would mulitpy them

OpenStudy (amistre64):

Po(.8) = sale price ; sale price (.2) = %off2 ^^^^^^^^^^^^^^^^^ this part is redundant so remove it Po(.8)(.2) = %0ff2

OpenStudy (anonymous):

my test says the answer is 500=original price

OpenStudy (amistre64):

your test is correct.... why? because 180/.36 = 500

OpenStudy (amistre64):

Po(.8)(.2) = Po(.16) = %off2

OpenStudy (amistre64):

Po(.2) = %off1 Po(.16) = %off2 %off1 + %off2 = 180 Po(.2) + Po(.16) = 180

OpenStudy (anonymous):

I see... 20% off the first time and 16% off the second time.....I would of never figured that out?????

OpenStudy (amistre64):

its not really 16% off :) Its just that that what it amounts to to figure this out ;)

OpenStudy (amistre64):

actually, your spot on it lol

OpenStudy (anonymous):

How about another one,,, ticket sales have gone up 10% reaching 880 tickets how many ticket were sold in the last season. my answer is 792 but its wrong

OpenStudy (amistre64):

wish I could try it, but library is closing...good luck :)

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