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Mathematics 21 Online
OpenStudy (anonymous):

after every 10 pages of printing, the ribbon in the dot matrix printer loses about 0.5% of its ink. a) what percent of the ink is left in the ribbon after printing? i) 100 pages

Directrix (directrix):

Are you currently studying geometric sequences and series?

OpenStudy (anonymous):

i studied it last year..

OpenStudy (anonymous):

i tried it with the geometric sequence equation and it didn't work, and geometric series formula it didnt work...

Directrix (directrix):

Do you agree with this: Let x = amount of ink on tape After 10 pages, x - .005x = .995x or 99.5% of ink left after 10 pages? Agree? @alexeis_nicole Once this approach gets rolling, I think a more succinct pattern will emerge.

OpenStudy (anonymous):

yes i agree with this, oh okay, so then after i just do .995^x ?

Directrix (directrix):

after 10 Pages: .995x after 20 Pages: .995x - (.005)(.995x) = .990025x or 99.0025% of the ink remains --> This looks wrong. What do you think?

OpenStudy (anonymous):

but shouldnt the amount of ink be lowered by 10 percent? after 20 pages? if the first 10 already lowered it by 5,..

Directrix (directrix):

0.5% is not 5%. .5% is one-half of one-percent or .005. Five percent is .05 which is not the same as .005. Five-hundreths as opposed to five-thousandths. Would you check and see if you wrote the percentage loss correct in the question statement? Thanks.

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