Math Forum / Mathematics / Recreational Math / September 2005

If 100=1 and half of 10 is 1, what is half of 100
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gues
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Assume a multi-tier program and the following:
1. Each year after the first one, each recruit brings on 3 more recruits
2. Each recruit generates $36 K in revenue
3. The royalty structure is as follows:

 Recently I posted a question about how to
construct Sudoku puzzles which had a unique
solution. The responses I received were never
an answer. More like "creat one and see if any

This was his grade six math problem for homework
Wondering if someone has an answer or can explain:
INPUT     Output
18                11

can anyone help me with this partial differentiation, i cannot seem to
get it right:
F(x,y,z) = sqrt((x-a)² + (y-b)² + (z-c)²)
where sqrt denotes the square root, and i need it respect to x.

My daughter has asked me for help on this questions for her Maths A level.
I agree with her that it doesn't make sense - can anyone else see how to
solve it.
The question is as follows.

Somebody might be able to help me with this one,,,, There seems to be a
paradox here.
I started with a snowflake curve ..  a shape with a finite area and an
infinite boundary.

I'm trying to add a footnote to a paper I'm writing about a musical.  Here
is what I know:
1) A music box is being auctioned off in France for 30 francs in the year
1919.

a quadrilateral is inscribed in a circle and one side of it coincides with the diameter of the circle. The other 3 shorter sides are 8,10 & 12 units, find the radius and area of the circle
kindly email your complete solutions and answers to my email, thanks to all.

CalcSharp is .Net application that evaluates mathematical expressions
step by step.
It uses a different approach from a conventional calculator, which is
more

Malfatti asked (in 1803) how to place 3 circles
in a triangle in such a way that their area is
a maximum.
Let R be the radius of the largest circle and r

So to post again, another simple query. If I had 120 and 103, how could
I go about finding out how much of a percentage is 103 of 120.

For  n in {1,2,...} , let
C(n,k)={n \choose k}:= n(n-1)...(n-k+1)/k!, k in {0,1,...},
Phi:=(1+ sqrt(5))/2  ,
[.]= integral part,     j:=[n/phi] .

Simple one, but one i don't know.
How do you expression a ratio as a fraction?
if i have 2:1 of 120, what do I have to do in order to express it as a
fraction, or 3:2 of 120.

my lawn sprinkler is the common back and forth bookleaf type. more
exactly, the sprinkler is a slightly curve pipe with 12 colinear jets
on the periphery of the curved pipe. the pipe rotates from 0 degrees to
180 degrees and then reverses back to 0 degrees. water shoots out of