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Math Help!

  • Thread starter Baylorguy
  • Start date

Baylorguy

"Oh, now he's a philosophizer"
Hi everyone -

It has been ages since I did algebra and I am having a hard time solving for this. Can you please assist? I figured this should be easy since there are so many smarties that use the board.

Formula:

=ROE(b)/[1-ROE(b)]


ROE = 0.18135

(I am solving for b)

If you wouldn't mind, please show me the step by step solution so I can remember how to do this! Thanks so much!
 
So you are basically writing an equation like this:

ab/1-ab

Where a is 0.18135 and you are solving for b. Right, "ROE" doesn't stand for anything specific or doesn't change the equation, it's only the set value that you said?
 
a, b and c are numbers; x, y and z are variables.

you have a*x = b*y / (1- b*y) [there a * x is what you're solving for to throw a random number in there in case you have one...]

so (1 - b*y) * (a * x) = b * y

a* x - (b* y) * (a * x) = b * y

a * x = b * y + (b * y) * (a * x)

a * x = (b * y) * (1 + a * x)

hence a * x / (1 + a * x ) = b * y

edit - oh i probably confused you - you're solving for y in my equation, so ax/[ROE(1+ax)]=b.

You didn't mention - is it b = roe * b / (1 - roe * b)? Maybe I should have used your variables :lol:
 
Last edited:
yes, ROE just stands for return on equity and is a set value of 0.18135. I am trying to solve for b, which is called an equity multiplier.
 
Wait a minute... Don't you need to make this expression into an equation to find b?

Isn't it kind of like like try to solve the following for x?

2x+6

x could be anything in that expression, however if you make it into an actual equation, then you will have a set value for x, like this:

2x+6=10 In this equation, x has to equal 2
 
take out all the ROE symbols and plug in the decimal for ROE. .18135 X B would be .18135B/1-.18135 * (B)
Minus, times by B in the bottom,and divide w/ calculator. I did algebra last year and am currently in Geometry.
Hope this helps.

Lance
 
... What is this, I don't even...

Math help.
Madness I say.
 
take out all the ROE symbols and plug in the decimal for ROE. .18135 X B would be .18135B/1-.18135 * (B)
Minus, times by B in the bottom,and divide w/ calculator. I did algebra last year and am currently in Geometry.
Hope this helps.

Lance

That's what I did initially, but we don't have a value for b. I took Geometry last year, and am currently in Algebra 2. If you write the equation out, you will see that you need a value for b, or a value for the whole expression to equal. Without having a set value for the whole expression, you cannot find b as any single or specific value.

Am I right? This is starting to confuse me :crazy:
 
whats this world coming too, math problems with more letters than numbers? next we will all talk in binary code
101100010001110011101010100100100100101000010101010001011101010010010001010101011101010100100101101001001010101110101010100100101001001010010100101010101010100101111010101010010101001001010100100100101001001001010010100100101010101001001010010100100101010101001001001010101
 
  • #10
Why dont I throw in my physics homework in here.
Both animals start on a line. Turtle is moving at .2m/s and the hair at 5.0m/s. In five minutes what will be the distance of the hair in m? How long will it need to wait for the turtle to catch up in s?
 
  • #11
Why dont I throw in my physics homework in here.
Both animals start on a line. Turtle is moving at .2m/s and the hair at 5.0m/s. In five minutes what will be the distance of the hair in m? How long will it need to wait for the turtle to catch up in s?

Thread hijacker! But I'll help anyway: distance = rate * time. Since you have a speed/rate, and a time... you can find a distance. When you have any two of those variables, you can find the third.
 
  • #12
Yes Ann, I believe you do need a value on the other side of the equal sign.


WaterKirby. Hare: 5minutes = 300s. so 5m * 300s = 1500m

Turtle: .2m * 300s = 60m. so 1500m - 60m = 1440m. 1440m / .2m = 7200s = 120minutes, or 2 hours.
 
  • #13
Ok, o just checked with my dad, and you have to have the expression equal a set value if you are going to find b. I trust him a ton because he went to 12 years of college (including 7 years of medical school), majored in chemistry, minored in math , plus he did another 5th residency, so that he could have his practice, which he now has. He is a retinal specialist, and is brilliant...not to brag, but he really is. I have never missed anything on my homework, at least not anything that he helped me with, and once in a while he can prove the teacher made mistakes, and they admit it :p


Anyways, onto our thread hijacker... You have to find the distance that each of the animals traveled in the five minutes. To do this, you need to find out how many seconds are in 5min. There are 300seconds in 5min. Now you take the rates they are moving at, and multiply them by 300. This will tell you how far they have each traveled in the five minutes. Now you jet need to find out how far ahead the hare is, and divide the distance left for the turtle by the turtle's speed. I have the whole answer and problem worked out, but I think you can find the answer on your own now.
 
  • #15
WaterKirby. Hare: 5minutes = 300s. so 5m * 300s = 1500m

Turtle: .2m * 300s = 60m. so 1500m - 60m = 1440m. 1440m / .2m = 7200s = 120minutes, or 2 hours.

Well that sort of made me feel bad...you typed out a whole paragraph of mine in just a few numbers and words, before I even finished writing my paragraph... ;)

---------- Post added at 08:43 PM ---------- Previous post was at 08:42 PM ----------

Why is physics so hard?

It's hard for some while it comes so easily to others...but even if you find it hard, just think...probably all of the other people in your physics class can't grow CPs like you can :p
 
  • #16
Well I dont get grades for CPs because I didn't take botany :p, and also Anna A you taught me how to do it, along with Thez and drew...Your answers combined equalled one epic combo of learning. Atleast I learned one thing today. Thanks again!
 
  • #17
No problem! Oh and in my opinion,cwho cares if you get grades for CPs! They judge you themselves, and if you can grow them and have them do well, looking awesome, then that is equal to an A+! anyways, glad I could help!
 
  • #18
It has been ages since I did algebra and I am having a hard time solving for this. Can you please assist? I figured this should be easy since there are so many smarties that use the board.

Formula:

=ROE(b)/[1-ROE(b)]


ROE = 0.18135

(I am solving for b)

If you wouldn't mind, please show me the step by step solution so I can remember how to do this! Thanks so much!

From what you write, you cannot solve it mathematically.
Perhaps you wrote an incomplete or wrong formula?
Wrong brackets? Missing input parameters? Missing formulas?

When asking Google about your formula, it looks a bit like a formula used to calculate the sustainable growth rate SGR with the variable b being the retention ratio on the dividends of the shares of a stock corporation.

Perhaps you can double-check the formula and tell us what's left of the equal sign in the formula?
 
  • #19
Seems like way too many constants/variables are missing. but you might be able to make something from this:
http://www.uky.edu/~sjordan/quiz2_sol.htm#FIN300-008 Yellow version
Problem #3


Growth rate = .08, constant D/E = .6, dividend payout = .4, sales to total assets = 1.4. Find the profit margin(PM).

Sustainable growth = .08 = {ROE*b}/{1-ROE*b}

b = 1-d = 1-.4 = .6

.08 = {ROE*.6}/{1-ROE*.6}

.08*{1-ROE*.6} = {ROE*.6}

.08*1 - .08*ROE*.6 = {ROE*.6}

.08 - ROE*.048 = ROE*.6

.08 = ROE*.6 + ROE*.048

.08 = ROE*.648

.08/.648 = ROE

.12345 = ROE

Equity multiplier = 1+ D/E = 1.6

ROE = Profit margin * Total asset Turnover * equity multiplier

.12345 = PM*1.4*1.6

.055 = PM
 
  • #20
Hi everyone, wanted to swing back and say thanks for the help. I was busy trying to get the assignment in and I ended up with a good grade, so again... thanks! It is amazing what you can forget if you haven't used it. Also, glad someone was able to get physics homework in here! Lots of smart people on here :)
 
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