Question

the total amount of spending for law enforcement by the federal, state, and local governments in the us in 2005 was $319 billion. since then, it has increased by $9.71 billion annually. in what year did the total amount spent on law enforcement equal $396.68 billion? in the year □. question help: ebook, written example

Explanation:

Step1: Find the increase in amount

We need to find the difference between the final amount and the initial amount. The initial amount in 2005 is $319 billion, and the final amount is $396.68 billion. So the increase is $396.68 - $319 = $77.68 billion.

Step2: Find the number of years

The annual increase is $9.71 billion. To find the number of years, we divide the total increase by the annual increase. So the number of years \( n=\frac{77.68}{9.71} \). Calculating this, \( \frac{77.68}{9.71} = 8 \) (since \( 9.71\times8 = 77.68 \)).

Step3: Find the year

We start from 2005 and add the number of years. So the year is \( 2005 + 8 = 2013 \).

Answer:

2013