Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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. by what percent has the number of burglaries actually changed in the two-year period?
b. by what percent would the crime have to decrease in the second year in order for the change over the two-year period to actually be a 40% increase?

Sagot :

Answer:

a) 35%

b) 6.67%

Step-by-step explanation:

a) The annual number of burglaries in 2012 would be 150% and since in 2013, it fell by 10%:

10% of 150 is 15 so 150-15 = 135%.

The actual percentage increase of burglaries is 135% - 100% = 35% not 40%.

b) In the second year, the percentage would have to decrease by 10% of the initial 150% so [tex]\frac{10}{150}[/tex] = [tex]\frac{1}{15}[/tex] which as a percentage would be 6.66666....% or 6.67%.

The number of burglaries actually changed in the two-year period will be 35% and the crime have to decrease in the second year in order for the change over the two-year period to actually be a 40% increase will be 6.7%

Burglaries

It is act of breaking and entering a dwelling at night to commit a felony such as theft.

How to solve this problem?

The steps are as follow:

  • Let us assume that the annual number of burglaries in 2011 are 100.
  • After that there is 50% increase in 2012 so the number of burglaries will be: 100(1.50) = 150.
  • Burglaries after the 10% reduction in 2013 would be: 150(.90) = 135
  • So there will be change in burglaries over the two-year period = (135 / 100) - 1 = 35%
  • To know how much burglaries would have to reduce in order to have a 40% change in burglaries we would be using the following formula:

(x - 100) / 100 = 0.40

x - 100 = 40

x = 140

  • Change in burglaries over the two-year period to have 40% increase = (140 / 150) - 1 = 6.7%

So, burglaries after the 10% reduction in 2013 would be 35% and change in burglaries over the two-year period to have 40% increase will be 6.7%.

Learn more about burglaries here:

https://brainly.com/question/6203610

#SPJ2

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.