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| For The Mathematically Inclined |
Anil Saigal
10/07/2008
FOR STUDENTS
PROBLEM # 1
What is the value of $1000, invested for one year at 100% interest, compounded every six months?
FOR GROWNUPS
PROBLEM #2
What is the value of $1000, invested for one year at 100% interest, compounded infinitely?
Please send your solutions to anil@lokvani.com.
Use Problem Solutions M-1016808 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani.
Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com.
If you need clarification on any problem, please contact anil@lokvani.com.
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Problem Solutions 10/02/08PROBLEM # 1
In quadrilateral ABCD, angle B is a right angle, diagonal AC is perpendicular to CD. Given: AB=18, BC=21 and CD=14.
Find the perimeter of ABCD.
Solution:
FOR GROWNUPS
An object moving along a curve in the xy-plane has position (x(t), y(t)) at time t with dx/dt = cos(t^3) and dy/dt = 3 sin(t^2) for 0<=t<=3. At t=2, the object is at position (4,5). Find the total distance traveled by the object over the time period 0<=t<=1.
Solution:
Congratulations to Aseem Chandawarkar, Maithri Harve, Anupa Manjunatha and Swati Ramanujan, who were winners of the last set of puzzles.
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