Question

How does this simplify?

Answer 1

\[\frac{ a(1-r) }{1-r }<\frac{ 0.9a }{ 1-r }\]

Answer 2

@satellite73 ? Do you have any idea?

Answer 3

on the left side, see any thing in the numerator that is identical to the denominator that can cancell out?

Answer 4

1-r?

Answer 5

:)

Answer 6

We are showing that r>0.1
Im not so sure how to do that

Answer 7

you can cancel them out leaving 1a/1 = a

Answer 8

think about
1/1 =1
2/2=1
5/5=1
(l-r)/(l-r)=1

Answer 9

Yes I know but that cancels out the r we need to solve the equation

Answer 10

oh I thought it was simplify. what value do you have to solve for?

Answer 11

It just says prove that r>0.1 using that equation...

Answer 12

ahhh hold on let me lookit this

Answer 13

Thanks

Answer 14

cancel out the 1-r on the left side like we discussed leaving you with
a < 0.9a
-----
1-r
multiply both sides by 1-r to get
a(1-r) < 0.9a
divide both sides by a to get
1-r < 0.9a/a
cancel the a's from right side to get
1-r<0.9
add r to both sides to get
1< 0.9 +r
subtract 0.9 from both sides to get
1 -0.9<r
simplify left to get
.1 < r

Answer 15

Following it?

Answer 16

Thank you so much!!! Yes i follow it :)

Answer 17

work to get rid of every thing except what you want displayed in your answer. I.E. know what variable you are solving for and manipulate to remove the rest.

Answer 18

Yes i understand now after your really detailed explanation :D