Answer :
To determine how much Holly will be responsible for paying each month if she opts for both the dental and vision options in addition to her regular health insurance, we'll break down the contributions for each insurance type and then sum Holly's share.
### Step-by-Step Solution
1. Calculate the employer's contribution for each insurance type:
- Health Insurance:
- Monthly premium: \[tex]$345 - Employer contribution: \(65\%\) of \$[/tex]345
- Employer's payment for health insurance: [tex]\(0.65 \times 345 = \$224.25\)[/tex]
- Dental Insurance:
- Monthly premium: \[tex]$38 - Employer contribution: \(50\%\) of \$[/tex]38
- Employer's payment for dental insurance: [tex]\(0.5 \times 38 = \$19.00\)[/tex]
- Vision Insurance:
- Monthly premium: \[tex]$23 - Employer contribution: \(75\%\) of \$[/tex]23
- Employer's payment for vision insurance: [tex]\(0.75 \times 23 = \$17.25\)[/tex]
2. Calculate Holly's share for each insurance type by subtracting the employer's contribution from the total premium:
- Health Insurance:
- Holly's payment for health insurance: \[tex]$345 - \$[/tex]224.25 = \[tex]$120.75 - Dental Insurance: - Holly's payment for dental insurance: \$[/tex]38 - \[tex]$19.00 = \$[/tex]19.00
- Vision Insurance:
- Holly's payment for vision insurance: \[tex]$23 - \$[/tex]17.25 = \[tex]$5.75 3. Sum the amounts Holly needs to pay for each type of insurance: - Total monthly payment by Holly: \(\$[/tex]120.75 + \[tex]$19.00 + \$[/tex]5.75 = \$145.50\)
Therefore, the amount Holly will be responsible for paying each month is [tex]\(\boxed{145.50}\)[/tex].
### Step-by-Step Solution
1. Calculate the employer's contribution for each insurance type:
- Health Insurance:
- Monthly premium: \[tex]$345 - Employer contribution: \(65\%\) of \$[/tex]345
- Employer's payment for health insurance: [tex]\(0.65 \times 345 = \$224.25\)[/tex]
- Dental Insurance:
- Monthly premium: \[tex]$38 - Employer contribution: \(50\%\) of \$[/tex]38
- Employer's payment for dental insurance: [tex]\(0.5 \times 38 = \$19.00\)[/tex]
- Vision Insurance:
- Monthly premium: \[tex]$23 - Employer contribution: \(75\%\) of \$[/tex]23
- Employer's payment for vision insurance: [tex]\(0.75 \times 23 = \$17.25\)[/tex]
2. Calculate Holly's share for each insurance type by subtracting the employer's contribution from the total premium:
- Health Insurance:
- Holly's payment for health insurance: \[tex]$345 - \$[/tex]224.25 = \[tex]$120.75 - Dental Insurance: - Holly's payment for dental insurance: \$[/tex]38 - \[tex]$19.00 = \$[/tex]19.00
- Vision Insurance:
- Holly's payment for vision insurance: \[tex]$23 - \$[/tex]17.25 = \[tex]$5.75 3. Sum the amounts Holly needs to pay for each type of insurance: - Total monthly payment by Holly: \(\$[/tex]120.75 + \[tex]$19.00 + \$[/tex]5.75 = \$145.50\)
Therefore, the amount Holly will be responsible for paying each month is [tex]\(\boxed{145.50}\)[/tex].
