For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
10/27/2008

FOR STUDENTS

PROBLEM # 1

The sum of Ramu and Shyamu's age is 40. The sum of Shamu's age and Chotu's age is 34. The sum of Ramu's age and Chotu's age is 42. How old is Ramu?

FOR GROWNUPS

PROBLEM #2
If R(t) = integral of sec²(x) + sec(x).tan(x) from 0 to t, then determine
R" (pi/4).

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Problem Solutions 10/16/08

PROBLEM # 1
What is the value of $1000, invested for one year at 100% interest, compounded every six months?

Solution:

$2250.

FOR GROWNUPS
What is the value of $1000, invested for one year at 100% interest, compounded infinitely?

Solution:
$2718.

Congratulations to Aseem Chandawarkar, Prabhakar Nadkarni and Sowmya Varada, who were winners of the last set of puzzles.

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