To determine how much Gerald will pay each month toward his health, dental, and vision insurance plans, let's calculate his contributions step-by-step for each plan.
1. Health Insurance:
- Monthly premium: \[tex]$345
- Employer pays 65\%
First, we need to find what 65\% of \$[/tex]345 is:
[tex]\[
0.65 \times 345 = 224.25
\][/tex]
This is the amount the employer contributes. Gerald pays the remaining amount:
[tex]\[
345 - 224.25 = 120.75
\][/tex]
2. Dental Insurance:
- Monthly premium: \[tex]$38
- Employer pays 50\%
First, we need to find what 50\% of \$[/tex]38 is:
[tex]\[
0.50 \times 38 = 19
\][/tex]
This is the amount the employer contributes. Gerald pays the remaining amount:
[tex]\[
38 - 19 = 19
\][/tex]
3. Vision Insurance:
- Monthly premium: \[tex]$23
- Employer pays 75\%
First, we need to find what 75\% of \$[/tex]23 is:
[tex]\[
0.75 \times 23 = 17.25
\][/tex]
This is the amount the employer contributes. Gerald pays the remaining amount:
[tex]\[
23 - 17.25 = 5.75
\][/tex]
4. Total Monthly Cost:
- Health contribution: \[tex]$120.75
- Dental contribution: \$[/tex]19.00
- Vision contribution: \[tex]$5.75
Add them all together to get the total monthly cost for Gerald:
\[
120.75 + 19.00 + 5.75 = 145.50
\]
So, when Gerald adds both the dental and vision options to his insurance plan, the total amount he will pay each month towards health insurance is:
b. \$[/tex]145.50
