To calculate the benefit rate, let's break down each component step-by-step.
1. Health Insurance Subsidy Calculation:
- The total cost of health insurance is [tex]$10,000.
- The health insurance subsidy is 60% of this amount.
- Subsidy amount: \( \text{\$[/tex]10,000} \times 0.60 = \text{\$6,000} \)
- Converting this percentage to percentage points: [tex]\( 60\% \)[/tex]
2. FICA (Federal Insurance Contributions Act) Contribution:
- The FICA contribution rate is 7.65%.
- In percentage points: [tex]\( 7.65\% \)[/tex]
3. Retirement Matching Contribution:
- The retirement matching rate is 6%.
- In percentage points: [tex]\( 6\% \)[/tex]
4. Summing up All Benefit Rates:
- Total benefit rate, sum of all benefit rates:
[tex]\[
\text{Total benefit rate} = \text{Health Insurance Subsidy Percentage} + \text{FICA Percentage} + \text{Retirement Matching Percentage}
\][/tex]
[tex]\[
\text{Total benefit rate} = 60\% + 7.65\% + 6\% = 73.65\%
\][/tex]
5. Rounding to the Nearest Percentage Point:
- The total benefit rate is 73.65%.
- When rounded to the nearest whole number, 73.65% rounds to 74%.
Therefore, the benefit rate is [tex]\(\boxed{74\%}\)[/tex].
