Kurt Alexander worked 40 hours last week. His pay rate is $8.50 per hour. Assuming 7.05% social security withholding, how much should her employer withhold from her check for social security?

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Answer 1 · 2018-03-03T10:22:02

#$316.03#

#40*$8.50=$340#
#$340*0.9295=$316.03#

Answer 2 · 2018-03-03T11:09:11

#$23.97#

#color(blue)("Very important fact")#

Percentage is just a fraction. However it is a special fraction in that the bottom number (denominator) is always fixed at 100.

There are two ways of writing percentage and they both have exactly the same value

#7.05/100 color(white)("d")-> color(red)(7.05) color(white)("d")color(green)(xx1/100)#

#7.05% -> color(red)(7.05)color(white)("dd")color(green)(%)#

If they have the same value then it must mean that #%# is the same as #xx1/100#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Answering the question")#

Total pay for the week #->$8.50xx40 #

Note that 40 is the same as #2xx2xx10#

#$8.50xx2xx2xx10#
#$17xx2xx10#
#$34xx10#
#$340#

Withheld sum is #7.05/100xx$340 = $23.97#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Check")#

#23.97/340 xx100= 7.05 larr" confirmed correct"#

Answer 3 · 2018-03-03T11:18:25

#$23.97= 7.05% # withheld for social security

#$8.5# per hour

worked #40# hours

#:.=40xx8.5=$340#

#:.100%=100/100#

#:.7.05%=7.05/100#

#:.340xx7.05%=340/1xx7.05/100=$23.97#