David is paid on a graduated commission scale at nooter company. he receives 2% commission on the first $20,000, 6% on sales from $20,000 to $70,000, 8.5% commission on sales from $70,000 to $100,000, and 10% commission on sales over $100,000. david had sales of $82,000. his commission is:
rev: 08_24_2013_qc_ 34268
$8,200
$6,200
$4,240
$4,420
none of these

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.