The amount deducted from her paycheck for health insurance is given by: Option D: 48.12 (in dollars).
How to find the percentage from the total value?
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For the given case, we're given that:
- Total annual premium amount for health insurances for Brooke = $8340
- 70% of it is paid by Employer.
- 30% of it is to be deducted from Brook's paychecks.(since total amount is taken as 100%, and as 70% is paid by employer, so remaining 30% is to be paid by employee)
- Brooks gets weekly paychecks.
The premium is annual, so it's payment can be done in an year(from employee side).
Since an year usually have 52 weeks, and the insurances payment are for annual insurances(1 year), so the 30% of the amount will be divided in 52 equal parts(as Brooke gets weekly paid, so weekly deduction), and then to be deduced from her paychecks. (distributed whole amount in weeks throughout the year for easy [payment and small deduction from employee side)
Thus, amount deducted from her paycheck for health insurance = 30% of $8340 divided in 52 equal parts
= [tex](\dfrac{8349}{100} \times 30 ) \times \dfrac{1}{52} \approx 48.12[/tex]
Thus, the amount deducted from her paycheck for health insurance is given by: Option D: 48.12 (in dollars).
Learn more about percentage here:
https://brainly.com/question/11549320
