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PEEL - The Futurama Message Board    Re-Check/Weird Scenes    Grievous math error in "Fishful of Dollars!" « previous next »
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Author Topic: Grievous math error in "Fishful of Dollars!"  (Read 16982 times)
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MattOSX

Delivery Boy
**
« on: 01-29-2004 16:57 »

In this episode Fry learned he had 93 cents in his bank account from a 1000 years ago, err, I mean 4 years ago...you know what I mean.

The teller said at 2.25% interest per year for a 1000 years is 4.3 billion dollars! But that is way off!

.93e^(.0225*1000) = $5,496,785,519

Otis P Jivefunk

DOOP Secretary
*
« Reply #1 on: 01-29-2004 17:13 »

Wow wow, slow that brain train...

I'll take your word for it  wink
Mouse On Venus

Liquid Emperor
**
« Reply #2 on: 01-29-2004 17:39 »

Oh, now don't be faceicious (sic, honest), I'm sure the teller just...rounded the number down...to the nearest 4.3 billion.  tongue
Jamesbondcja

Professor
*
« Reply #3 on: 01-29-2004 17:52 »
« Last Edit on: 01-29-2004 17:52 »

4.3....1000....2.25....carry the one....errr whatever you say   wink  tongue
PCC Fred

Space Pope
****
« Reply #4 on: 01-29-2004 18:05 »

MattOSX, I wrote a QBasic program to calculate the rise of Fry's bank balance over the years, and it comes to $4.28 billion.

0.93*(1.0225^1000) = 4.28 billion.

In addition, there's a logical flaw in the calculation from your first post.  I used that method and got a figure of .1953738
MattOSX

Delivery Boy
**
« Reply #5 on: 01-29-2004 18:52 »

There is no flaw in my math. Your math is wrong, the interest stated is 2.25% annually, not 1.0225% as you state.

The equation I use is a fairly common one.

sum = yo*e^kt

sum is the final figure amount
yo is the initial investment
k is the interest rate
t is time
Mercapto

Professor
*
« Reply #6 on: 01-29-2004 19:01 »

No, MattOSX.

Your math is wrong. PCC is correct. The reason he uses 1.0225 is because multiplaying with that figure is the same as adding 2.25%.
aslate

Space Pope
****
« Reply #7 on: 01-29-2004 19:08 »
« Last Edit on: 01-29-2004 19:08 »

If you're increasing interest then you multiply by the figure:
1 + (increase in interest as percentage)/100
^That's probably not the way to describe it, but it's right!

I.E. It's:
0.93*(1.0225^1000) not 0.93*(0.0225^100)
And i get $4,283,508,449.71
El Zilcho

Professor
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« Reply #8 on: 01-29-2004 19:15 »

@MattOSX: you're using the formula assuming it's compunded continuously. It's actually not supposed to be continuous, so "e" shouldn't even be in your equation, and PCC and 'slate and 'capto are right.
PCC Fred

Space Pope
****
« Reply #9 on: 01-29-2004 19:28 »

 
Quote
Originally posted by MattOSX:
There is no flaw in my math. Your math is wrong, the interest stated is 2.25% annually, not 1.0225% as you state.

Hmm, let's look in my UNIVERSITY TEXTBOOK!!!

S=P(1+r/100)^n

where S= final sum, P= principal (original sum of money), r= rate of interest, and n= years.

In this case, P=0.93, r=2.25 and n=1000.

0.93*(1+2.25/100)^1000

= 0.93*(1.0225)^1000

= 4,283,508,450, or $4.28 billion.

I remember that lecture well, because a HOT blonde was sitting next to me.  What an hour that was!  smile
MattOSX

Delivery Boy
**
« Reply #10 on: 01-29-2004 19:36 »

Ahhhh! I'm truly sorry, Fred. I totally forgot it was a discrete kind of math. I just built my own realbasic app to check and sure enough, it is 4.28 billion.

Sorry  frown

Atleast I now have a handy interest app handy  wink
PCC Fred

Space Pope
****
« Reply #11 on: 01-29-2004 19:40 »

No probs. Athough I'm jealous that you have better Basic software than me...  wink

Besides, thinking about that blonde's cheered me up for no reason...  love
Nixorbo

UberMod
DOOP Secretary
*
« Reply #12 on: 01-29-2004 20:53 »

 
Quote
Originally posted by PCC Fred:
I remember that lecture well, because a HOT blonde was sitting next to me.  What an hour that was!

The fact that you actually paid attention to the lecture indicates to me that said HOT blonde is a dirty, dirty lie.

Either that or you're gay.

Anyway, I think we learned an important lesson about questioning the math of people who have degrees in various math-related fields.

I have a thousand years of power.
"NOOOOO HE WAS MY BROTHER!" and then got tired and slept.


"He has the special talent, though, of being able to help people and make them feel utterly stupid all at the same time. ... In short, he's a great moderator, but a terrible human being."
-SlackJawedMoron
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