The annual number of burglaries in a town rose by 50% in 2012 and fell by 10% in 2013.  Hence the total number of burglaries increased by 40% over the two-year period. a). What is the mistaken assumption here? b. Why is that assumption incorrect? c. By what percent has the number of burglaries actually changed in the two year period? show calculations

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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The annual number of burglaries in a town rose by 50% in 2012 and fell by 10% in 2013.  Hence the total number of burglaries increased by 40% over the two-year period.

a). What is the mistaken assumption here?

b. Why is that assumption incorrect?

c. By what percent has the number of burglaries actually changed in the two year period? show calculations

d. By what percent would the crime have to decrease in the second year in order for the change over the two-year period to actuall be a 40% increase?

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