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?

3 Answers
Mar 3, 2018

$316.03$316.03

Explanation:

40*$8.50=$34040$8.50=$340
$340*0.9295=$316.03$3400.9295=$316.03

Mar 3, 2018

$23.97$23.97

Explanation:

color(blue)("Very important fact")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)7.05100d7.05d×1100

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

If they have the same value then it must mean that %% is the same as xx1/100×1100

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

Total pay for the week ->$8.50xx40 $8.50×40

Note that 40 is the same as 2xx2xx102×2×10

$8.50xx2xx2xx10$8.50×2×2×10
$17xx2xx10$17×2×10
$34xx10$34×10
$340$340

Withheld sum is 7.05/100xx$340 = $23.977.05100×$340=$23.97
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color(blue)("Check")Check

23.97/340 xx100= 7.05 larr" confirmed correct"23.97340×100=7.05 confirmed correct

Mar 3, 2018

$23.97= 7.05% $23.97=7.05% withheld for social security

Explanation:

$8.5$8.5 per hour

worked 4040 hours

:.=40xx8.5=$340

:.100%=100/100

:.7.05%=7.05/100

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