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If the values of a, b, and c in the above expression are each decreased by 40 percent, by approximately what percentage will the value of the entire expression decrease?

February 27, 2006
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E-mail Solutions to: pow@umassd.edu

   
  Correct Solutions 
 
  1. Thomas Robertson.  Riverside, RI
  2. Greg LaCroix. Somerdale, NJ
  3. GK. Bridgewater, NJ
  4. Hendrik Salomons. Arapoti, Brazil
  5. Marius Damian. Braila, Romania
  6. Daniel Senécal. Montréal, Qc, Canada
  7. Wenlin Fan, Mountain Top, PA
  8. Michel Poulin, Collège Jean-Eudes, Montréal, Québec, Canada
  9. Adrian Atanasiu. Bucharest, Romania
  10. Doug McKenzie. Crane Country Day, Santa Barbara, CA
  11. Jerome Cherry. Mundare, Alberta, Canada
  12. Christopher Bremner, Crane Country Day School, Santa Barbara, CA
  13. Gary Brensike
  14. Aristides Kyriakakis.  Thessaloniki. Greece
  15. Tim Poe, Austin TX
  16. Radu Ionescu. Montreal, Quebec, Canada.
  17. Allamanis Miltiadis. Anatolia High School, Thessaloniki, Greece
  18. Siraj Iqbal. Miami Killian Senior High, Miami, FL
  19. Phillip Ai.  Hammarksjold Middle School, East Brunswick, NJ
  20. Tom Lindsay. Carver, MA
  21. Joume Bautik, Chadral Prep, Elbonia
  22. Zach Roomberg, Beck Middle School, Cherry Hill, NJ
  23. Emil Lalov. Mathematical High School, Pleven, Bulgaria
  24. Eugene Roytman.  New York, NY
  25. Becky Britton. St. Luke Middle School, Columbus, GA
  26. Mike Osterfoss. Moore, SC
  27. Bob Mitchell.  Normal, Illinois
  28. Craig Sidell.  New York, NY
  29. Albert Zhou. Scott Middle School, Lincoln, NE
  30. Amy Clemens. Forsyth Country Day School
  31. Coman Daniel. Romania Braila High School. N.Iorga
  32. Nick Taylor. US Air Force Academy, Colorado Springs, CO
  33. Farid Lian. Uniatlantico, Barranquilla-Colombia
  34. Felicia Ratnaraj.  WEbster Groves High School, MO City, St. Louis
  35. Meera. Bridgewater, NJ
  36. Christian Allen. South Pasadena Middle School, South Pasadena, CA
  37. John Song. White Station High School, Memphis, TN
  38. Caroline Moore. Forsyth Country Day School, Winston-Salem, NC
  39. Anthony Dykstra. Powell Middle School, SpringHill, FL
  40. Sarah Chen. Marie Curie Middle School, New York, NY
  41. Verónica.  Argentina
  42. David Lu. P.S.139Q, NYC
  43. Jerold Greenberg. New York, NY
  44. Will Lewis.  Creekwood Middle School, Kingwood, Texas
  45. Minray Yang. Carwise Middle School, Palm Harbor, FL
  46. David Shi.  JLS Middle School, Palo Alto, CA
  47. Kunal Singh.  Kendriya Vidyalaya Happy Valley Shillong, India
  48. QSi Tran.  Crane School, Santa Barbara, CA
  49. Anthony San Pedro. South Pasadena Middle School, South Pasadena, CA
  50. Buddy Baker.  Reynolds High School, Winston-Salem, NC
  51. Zelko Zahtila, Melbourne, Australia
  52. Matthew DeCoste. La Canada Middle School, La Canada, CA
  53. Daniel Acosta-Kane. Miami Killian Senior High School, Miami, FL
  54. Fabian Moa. NIIT College, Kuching, Sarawak, Malaysia
  55. Michelle Lam. South Pasadena Middle School, South Pasadena, CA
  56. Ekaterina Merkurjev. Palisades Charter High School, Pacific Palisades, CA
  57. Kevin Temew. Davao Christian High School, Davao City, Philippines
  58. Hamilton Hardison.  University of Georgia.  Athens, GA
  59. Seth Flowers. Parkersburg High School, Parkersburg, WV
  60. Bar Greengrass. Israel
  61. Christopher Thomas
  62. Jeff Haddock, Wilcox Tech, Meriden, CT
  63. Marlène Boisvert. Collège Jean-Eudes, Montréal, QC, Canada
  64. Tom McCain. Bolton, UK
  65. James Kawakami, South Pasadena Middle School
  66. Mark Spanier. Sauk Centre HS, Sauk Centre, MN
  67. Timothy Yales. Westland, MI
  68. Chris Hanes. Ocala, FL
  69. Ms. Rothermel. Rye Junior High School, Rye, NH
  70. Amanda Tu. Southridge School, BC, Canada
  71. Guillaume Roy-Loranger, Collège Jean-Eudes, Montreal, Quebec, Canada
  72. Kevin Herickhoff. Sauk Centre HS, Sauk Centre, MN
  73. Josh Gow. Sauk Centre HS, Sauk Centre, MN
  74. Rebecca Greenberg. Beck Middle School
  75. Karen Wong. CHIJ St. Nicholas Girls' School, Singapore
  76. XuYingchun. CHIJ St. Nicholas Girls' School, Singapore
  77. Max G. Carusi Middle School, NJ
  78. George Hatzikiriakos. Southridge School, Surrey, B.C. Canada
  79. Jennifer Sailor. Osceola Middle School, Ocala, FL
  80. Andrew Sailor. Osceola Middle School, Ocala, FL
  81. Brianna Loo. South Pasadena Middle School, South Pasadena, CA
  82. Dan Dietz. Creekwood Middle School, Kingwood, TX
  83. Tiffany Chen. South Pasadena Middle School, South Pasadena, CA
  84. Dennis Gorshteyn. South Pasadena Middle School, South Pasadena, CA
  85. Yoori Yang,. Southridge School, Surrey, B.C
  86. Danny Kiswani. Seminole High, FL
  87. Katherine Wang.  South Pasadena Middle School, South Pasadena, CA
  88. Soo-Hyun Lee. Sauk Centre HS, Sauk Centre, MN
  89. Asher Tuggle.  CO
  90. Giuseppe Giannone.  Mantova, Italy.
  91. Nathan Waldruff Soo-Hyun Lee. Sauk Centre HS, Sauk Centre, MN
  92. Rebecca Sousa. Dartmouth High School, Dartmouth, MA
  93. Karina Shaw.  Laguna Beach High School, Laguna Beach, CA
  94. Dmitry Vagner.  Ranney School, Tinton Falls, NJ
  95. Lindsey Camara.  Dartmouth High School, Dartmouth, MA
  96. Alexander Taciuk. Southridge School, Surrey, BC, Canada
  97. Stefan Dragomir-Ene. Southridge School, Surrey, B.C., Canada
  98. Florian Jonker, Southridge School, Surrey, BC, Canada
  99. Alan Leung. Mississippi School for Mathematics & Science, Columbus, MS
  100. Alstyne Gravlee. St. Luke Middle School, Columbus, GA
  101. Kashish Singhal. Broadview Middle School, Danbury, CT
  102. Don Miller.
  103. Nikki Tan. Southridge School, Surrey, BC, Canada
  104. David Madfes. San Francisco
  105. Pat McHenry. Gloucester, NJ
  106. Dan Dietz. Creekwood Middle School, Kingwood, TX
  107. Rohit Bollineni. Power Middle School, Farmington Hills, MI
  108. Garrett Hix. Brookstone School, Columbus, GA
  109. Sahit Bollineni. Highmeadow Common Campus, Farmington Hills, MI
  110. Kurtis Osborne. Southridge School, Surrey, BC, Canada
  111. Michael Vishevnik.
  112. Mayank Patel. Point Pleasant Borough H S, NJ
  113. Daniel Pyon. South Pasadena Middle School, South Pasadena, CA
  114. Drew Wolfard. Kea'au Middle School, Kea'au, HI
  115. Jonathan Uesato, Milpitas Christian School, San Jose, CA
  116. Jon Gomes. New York, NY
  117. Roland Vyncke. Brugge, Belgium
  118. Ben Gieske. Sauk Centre HS, Sauk Centre, MN
  119. Joe Brophy, Boston, MA.
  120. Andy Drabic. Archbishop Hoban High School, Akron, OH
  121. Pamela Chretien. Hastings Middle School, Fairhaven, MA
  122. Magdy Essafty. Alexandria, Egypt
  123. Lusha ZHou, Qingdao, China
  124. Mike Hunt. Dr. Micheal M. Krop High School, Miami, FL
  125. Matthew Wong. South Pasadena Middle School, South Pasadena, CA
  126. Aashrita Mangu. South Pasadena Middle School, South Pasadena, CA
  127. Sagar Patel. Brookstone School, Columbus, GA
  128. Rin Sone. South Pasadena Middle School, CA
  129. Kristy Chang. South Pasadena Middle School, South Pasadena, CA
  130. Shyamala Gupta.
  131. Kate Mittermaier. Southridge School, Surrey, British Columbia, Canada
  132. Tony Chen. Beck MIddle School, Cherry Hill, NJ
  50% of respondents successfully answered this problem.


 



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