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| For The Mathematically Inclined |
Anil Saigal
02/15/2008
FOR STUDENTS
PROBLEM # 1
Suppose you deposit $6000 in a bank and receive 4% per year compound
interest for 7 years, compounded monthly. Find the amount after 7 years.
FOR GROWNUPS
PROBLEM # 2
What is tan 105 degrees in radical form?
(not the value from a calculator)
Please send your solutions to anil@lokvani.com.
Use Problem Solutions M-022108 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 02/07/08PROBLEM # 1
Find the equation of the line that passes through the points (-1 , 0) and (-4 , 12).
Solution:
y = -4x - 4.
FOR GROWNUPS
A triangle XYZ is equilateral. - all three sides have the same length. Locate a point P so that the sum of the three perpendicular distances from P to the sides of triangle XYZ is as small as possible.
Solution:
Any point inside the triangle.
Congratulations to Sitaram Chandawarkar, Somnath Chattopadhyay, Venki Nagesha, Mukund Seshadri and Niharika Yerneni, who were winners of the last set of puzzles.
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