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-   -   help me with this algebra please. (http://www.peachparts.com/shopforum/off-topic-discussion/334577-help-me-algebra-please.html)

benhogan 02-12-2013 01:28 PM

help me with this algebra please.
 
i'm stumped. help me find X

A=B(1+X)^n

I've been trying to figure it out for the past hour. It is basically the time value of money equation. the unknown is the rate (X)
A=new value
B=old value
n=# of periods

jplinville 02-12-2013 01:34 PM

Dear Algebra,

I don't know where your X is, nor do I care Y they haven't come back.

Yours truly,

Me

benhogan 02-12-2013 01:35 PM

Quote:

Originally Posted by jplinville (Post 3098784)
Dear Algebra,

I don't know where your X is, nor do I care Y they haven't come back.

Yours truly,

Me

man, that is profound! :D

TheDon 02-12-2013 01:38 PM

can you do

take the nth root of (a/b) -1 = x

??

its been a while for me too.

jplinville 02-12-2013 01:39 PM

Quote:

Originally Posted by benhogan (Post 3098786)
man, that is profound! :D

LOL

This would be a problem I'd have my daughter look at later tonight to see if it makes sense to her. She's in advanced Algebra II at her high school.

I'll let you know what she comes up with...

benhogan 02-12-2013 01:43 PM

Quote:

Originally Posted by TheDon (Post 3098787)
can you do

take the nth root of (a/b) -1 = x

??

its been a while for me too.

no. i tried that. i suspect that both sides have to be raised to the "e". just not sure.

cmac2012 02-12-2013 01:49 PM

Quote:

Originally Posted by TheDon (Post 3098787)
can you do

take the nth root of (a/b) -1 = x

??

its been a while for me too.

That's what I got also.

benhogan 02-12-2013 01:54 PM

Quote:

Originally Posted by cmac2012 (Post 3098793)
That's what I got also.

that's gotta be it. i just could not use the calculator properly. thanks guys. you rock

benhogan 02-12-2013 02:04 PM

Quote:

Originally Posted by benhogan (Post 3098796)
that's gotta be it. i just could not use the calculator properly. thanks guys. you rock


nope. it will take an algebra genius to get this right.

if A=121, B=100, n=2 then X=10%

i can use a HP 12c financial calculator but I can't figure out the algebra part

Eskimo 02-12-2013 03:37 PM

Quote:

Originally Posted by benhogan (Post 3098801)
nope. it will take an algebra genius to get this right.

if A=121, B=100, n=2 then X=10%

i can use a HP 12c financial calculator but I can't figure out the algebra part

If you plug those numbers into the equation TheDon offered, doesn't it work for you? It does for me.

Dudesky 02-12-2013 04:14 PM

Quote:

Originally Posted by benhogan (Post 3098801)
nope. it will take an algebra genius to get this right.

if A=121, B=100, n=2 then X=10%

i can use a HP 12c financial calculator but I can't figure out the algebra part


Most TI calculators you can enter direct and it scrambles the eggs for you and pops out the answer.

martureo 02-12-2013 04:24 PM

Just quickly, since I hate these problems.

EDIT: nevermind, I got it... x=(a/b)^(1/n)-1

benhogan 02-12-2013 04:32 PM

Quote:

Originally Posted by martureo (Post 3098863)
Just quickly, since I hate these problems.

EDIT: nevermind, I got it... x=(a/b)^(1/n)-1


pure genius. that is it!!!!

please show me how you did it.

KarTek 02-12-2013 04:39 PM

If you have Excel on your computer, you can simply type any formula you want into the cells and then plug values in and it will do the calculations for you.

dynalow 02-12-2013 05:44 PM

Quote:

Originally Posted by benhogan (Post 3098801)
nope. it will take an algebra genius to get this right.

if A=121, B=100, n=2 then X=10%

i can use a HP 12c financial calculator but I can't figure out the algebra part

fyi, there is now an iphone app for the HP12c. It's about 3 bucks my partner told me. He uses it all the time;)
(I still use the 19B "booklet" It works!:cool:)

jplinville 02-12-2013 05:50 PM

Does anyone sit down with pen and paper anymore? I used to use trig on a daily basis, and rarely used a calculator. My kids are issued calculators in school. Heck, most of the most common sines used, I memorized years ago.

I guess it is one of those things that you lose if it isn't used.

dynalow 02-12-2013 06:06 PM

Quote:

Originally Posted by jplinville (Post 3098902)
Does anyone sit down with pen and paper anymore? I used to use trig on a daily basis, and rarely used a calculator. My kids are issued calculators in school. Heck, most of the most common sines used, I memorized years ago.

I guess it is one of those things that you lose if it isn't used.

Pen & Paper? No. Only to take notes. Number crunching is why computers were invented. That and doing your tax returns :P;)
Think of the ctizen revolt if people had to try and navigate their returns today with pencil and paper. Want a simple tax code? Ban computer use. Won't happen you say? Neither will the tax code become "simple"
If I could relive my yute and could choose between becoming proficient in math or the piano, I'd choose the piano. My mother gave up wasting money on me taking piano lessons.:o

KarTek 02-12-2013 06:09 PM

I'm always sketching and figuring on paper. It seems like it's much easier to be creative on the spur of the moment if you're not near a computer or other electronic device.

I also do all of my initial sketching on paper for projects. I'm pretty decent at drawing to scale and after the concept is laid out, I move to the computer for actual scale drawings.

layback40 02-12-2013 06:15 PM

Quote:

Originally Posted by jplinville (Post 3098902)
Does anyone sit down with pen and paper anymore? I used to use trig on a daily basis, and rarely used a calculator. My kids are issued calculators in school. Heck, most of the most common sines used, I memorized years ago.

I guess it is one of those things that you lose if it isn't used.

Over here they now have maths exams that are tech free. They make the students use their brain & show that they actually understand how to do maths.
A well trained monkey can push buttons on a calculator.

Botnst 02-12-2013 07:05 PM

Quote:

Originally Posted by benhogan (Post 3098781)
i'm stumped. help me find X

A=B(1+X)^n

I've been trying to figure it out for the past hour. It is basically the time value of money equation. the unknown is the rate (X)
A=new value
B=old value
n=# of periods

Log(A) = B+ n log(1+x)
Log(A)-B = n(log(1+x)
(Log(A)-B)/n = log(1+x)
exp((Log(a)-b))/n) = exp(log(1+x))
exp(A-B)-exp(n) =1+x
x = exp(A-B)-exp(n) -1

Is that right?

Air&Road 02-12-2013 07:14 PM

Quote:

Originally Posted by jplinville (Post 3098902)
Does anyone sit down with pen and paper anymore? I used to use trig on a daily basis, and rarely used a calculator. My kids are issued calculators in school. Heck, most of the most common sines used, I memorized years ago.

I guess it is one of those things that you lose if it isn't used.

Trig is easy to do on paper as long as you have CRC tables. Without them it is much more time consuming. A scientific calculator makes it a walk in the park.

Oscar Has A Heap Of Apples

TheDon 02-12-2013 07:35 PM

Quote:

Originally Posted by benhogan (Post 3098796)
that's gotta be it. i just could not use the calculator properly. thanks guys. you rock

Quote:

Originally Posted by jplinville (Post 3098902)
Does anyone sit down with pen and paper anymore? I used to use trig on a daily basis, and rarely used a calculator. My kids are issued calculators in school. Heck, most of the most common sines used, I memorized years ago.

I guess it is one of those things that you lose if it isn't used.


I used a pen and paper, lol. Apparently I Was wrong but I'd like to see the math behind it as well to see where I messed up

I hated algebra but I need to take Calc 1 just for fun so I have it on my transcripts

martureo 02-13-2013 09:19 AM

Quote:

Originally Posted by benhogan (Post 3098866)
pure genius. that is it!!!!

please show me how you did it.

okay.

A=B(1+X)**(n)

A/B=(1+X)**(n)

ln--> natural log

ln(A/B)=(n) ln(1+X)

(1/n) ln(A/B)=ln(1+x)

(1/n) ln(A/B)=ln(1)+ln(X)

(1/n) ln(A/B) - ln(1)= ln(x)

e**[(1/n) ln(A/B)]-e**[ ln(1)] = e**[ln(X)]

(A/B)**(1/n) -1= X


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