The number of private investigators is expected to increase from 52,000 in 2006 to 61,000 in 2016. if there are 648,982 police
officers in 2006, how many police officers must there be in 2016 to have a greater percent increase than that of private
investigators?
a. 657,983
b. 761,307
c. 671,128
d. 713 180
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Option b. 761,307

Step-by-step explanation:

step 1

Find the percent increase of private investigators

we know that

52,000 -----> represent 100%

so

using proportion

Find out the percent increase of (61,000-52,000=9,000) private investigators

Let

x -----> the percent increase

step 2

Find the number of police officers for a percent increase of 17.3%

we know that

648,982 ----> represent 100%

Remember that

To have a greater percent increase than that of private

investigators, the number of police officers must be greater than 761,256

therefore

The best answer is 761,307

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180