Let's break down each component of Wyatt's employee benefits and calculate their values step by step. Finally, we will sum them up to find the total benefit rate as a percentage of Wyatt's salary.
### 1. Retirement Matching Benefit
Wyatt's employer matches 6% of his [tex]$65,000 salary for retirement.
\[
\text{Retirement Matching Benefit} = 0.06 \times 65,000 = 3,900
\]
### 2. Health Insurance Benefit
Wyatt's employer subsidizes 60% of his health insurance costing $[/tex]10,000 in total.
[tex]\[
\text{Health Insurance Benefit} = 0.60 \times 10,000 = 6,000
\][/tex]
### 3. Paid Time Off (PTO) Benefit
Wyatt receives 15 days of Paid Time Off (PTO) in a year. There are approximately 260 work days in a year. We first find the value of each PTO day and then the total value of 15 PTO days.
[tex]\[
\text{PTO Value per Day} = \frac{65,000}{260} \approx 250
\][/tex]
[tex]\[
\text{PTO Benefit} = 250 \times 15 = 3,750
\][/tex]
### 4. FICA Benefit
Wyatt's employer contributes 7.65% of his salary to FICA.
[tex]\[
\text{FICA Benefit} = 0.0765 \times 65,000 = 4,972.50
\][/tex]
### 5. Total Benefits
Sum up all the individual benefits to get the total benefits value.
[tex]\[
\text{Total Benefits} = 3,900 + 6,000 + 3,750 + 4,972.50 = 18,622.50
\][/tex]
### 6. Benefit Rate
Now, calculate the benefit rate as a percentage of Wyatt's salary.
[tex]\[
\text{Benefit Rate} = \frac{18,622.50}{65,000} \times 100 \approx 28.65\%
\][/tex]
### 7. Rounded Benefit Rate
Rounding the benefit rate to the nearest percentage point:
[tex]\[
\text{Rounded Benefit Rate} = 29\%
\][/tex]
So, Wyatt's benefit rate is [tex]\(\boxed{29\%}\)[/tex].
