Answer :
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
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