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Sagot :
Sure, let's break down the costs for Jim and Stephanie's health insurance plans in a detailed, step-by-step manner:
### Jim's Health Insurance Plan
1. Jim's Monthly Premium:
- Jim pays a premium of \[tex]$378 per month. - Jim's employer contributes 42% of this premium. 2. Employer's Contribution for Jim: \[ \text{Employer's Contribution} = 0.42 \times 378 = 158.76 \] - So, Jim's employer pays \$[/tex]158.76 towards his monthly premium.
3. Jim's Cost After Employer's Contribution:
[tex]\[ \text{Jim's Cost} = 378 - 158.76 = 219.24 \][/tex]
- After the employer's contribution, Jim pays \[tex]$219.24 per month. 4. Additional Beneficiary Premium: - The additional beneficiary premium is \$[/tex]345 per month.
- The employer contributes 23% of the additional beneficiary premium.
5. Employer's Contribution for Additional Beneficiary:
[tex]\[ \text{Employer's Contribution} = 0.23 \times 345 = 79.35 \][/tex]
- So, the employer pays \[tex]$79.35 towards the additional beneficiary's premium. 6. Cost After Employer's Contribution for Additional Beneficiary: \[ \text{Beneficiary's Cost} = 345 - 79.35 = 265.65 \] - After the employer's contribution, the additional beneficiary cost is \$[/tex]265.65 per month.
### Stephanie's Health Insurance Plan
1. Stephanie's Monthly Premium:
- Stephanie pays a premium of \[tex]$298 per month. - Her employer contributes 35% of this premium. 2. Employer's Contribution for Stephanie: \[ \text{Employer's Contribution} = 0.35 \times 298 = 104.3 \] - Stephanie's employer pays \$[/tex]104.3 towards her monthly premium.
3. Stephanie's Cost After Employer's Contribution:
[tex]\[ \text{Stephanie's Cost} = 298 - 104.3 = 193.7 \][/tex]
- After the employer's contribution, Stephanie pays \[tex]$193.7 per month. 4. Additional Beneficiary Premium: - The additional beneficiary premium is \$[/tex]349 per month.
- The employer contributes 30% of the additional beneficiary premium.
5. Employer's Contribution for Additional Beneficiary:
[tex]\[ \text{Employer's Contribution} = 0.30 \times 349 = 104.7 \][/tex]
- So, the employer pays \[tex]$104.7 towards the additional beneficiary's premium. 6. Cost After Employer's Contribution for Additional Beneficiary: \[ \text{Beneficiary's Cost} = 349 - 104.7 = 244.3 \] - After the employer's contribution, the additional beneficiary cost is \$[/tex]244.3 per month.
### Summary of Costs:
- For Jim:
- Employer's Contribution to Jim's Premium: \[tex]$158.76 - Jim's Cost After Contribution: \$[/tex]219.24
- Employer's Contribution to Additional Beneficiary Premium: \[tex]$79.35 - Additional Beneficiary Cost After Contribution: \$[/tex]265.65
- For Stephanie:
- Employer's Contribution to Stephanie's Premium: \[tex]$104.3 - Stephanie's Cost After Contribution: \$[/tex]193.7
- Employer's Contribution to Additional Beneficiary Premium: \[tex]$104.7 - Additional Beneficiary Cost After Contribution: \$[/tex]244.3
I hope this helps you understand the health insurance cost calculations for Jim and Stephanie!
### Jim's Health Insurance Plan
1. Jim's Monthly Premium:
- Jim pays a premium of \[tex]$378 per month. - Jim's employer contributes 42% of this premium. 2. Employer's Contribution for Jim: \[ \text{Employer's Contribution} = 0.42 \times 378 = 158.76 \] - So, Jim's employer pays \$[/tex]158.76 towards his monthly premium.
3. Jim's Cost After Employer's Contribution:
[tex]\[ \text{Jim's Cost} = 378 - 158.76 = 219.24 \][/tex]
- After the employer's contribution, Jim pays \[tex]$219.24 per month. 4. Additional Beneficiary Premium: - The additional beneficiary premium is \$[/tex]345 per month.
- The employer contributes 23% of the additional beneficiary premium.
5. Employer's Contribution for Additional Beneficiary:
[tex]\[ \text{Employer's Contribution} = 0.23 \times 345 = 79.35 \][/tex]
- So, the employer pays \[tex]$79.35 towards the additional beneficiary's premium. 6. Cost After Employer's Contribution for Additional Beneficiary: \[ \text{Beneficiary's Cost} = 345 - 79.35 = 265.65 \] - After the employer's contribution, the additional beneficiary cost is \$[/tex]265.65 per month.
### Stephanie's Health Insurance Plan
1. Stephanie's Monthly Premium:
- Stephanie pays a premium of \[tex]$298 per month. - Her employer contributes 35% of this premium. 2. Employer's Contribution for Stephanie: \[ \text{Employer's Contribution} = 0.35 \times 298 = 104.3 \] - Stephanie's employer pays \$[/tex]104.3 towards her monthly premium.
3. Stephanie's Cost After Employer's Contribution:
[tex]\[ \text{Stephanie's Cost} = 298 - 104.3 = 193.7 \][/tex]
- After the employer's contribution, Stephanie pays \[tex]$193.7 per month. 4. Additional Beneficiary Premium: - The additional beneficiary premium is \$[/tex]349 per month.
- The employer contributes 30% of the additional beneficiary premium.
5. Employer's Contribution for Additional Beneficiary:
[tex]\[ \text{Employer's Contribution} = 0.30 \times 349 = 104.7 \][/tex]
- So, the employer pays \[tex]$104.7 towards the additional beneficiary's premium. 6. Cost After Employer's Contribution for Additional Beneficiary: \[ \text{Beneficiary's Cost} = 349 - 104.7 = 244.3 \] - After the employer's contribution, the additional beneficiary cost is \$[/tex]244.3 per month.
### Summary of Costs:
- For Jim:
- Employer's Contribution to Jim's Premium: \[tex]$158.76 - Jim's Cost After Contribution: \$[/tex]219.24
- Employer's Contribution to Additional Beneficiary Premium: \[tex]$79.35 - Additional Beneficiary Cost After Contribution: \$[/tex]265.65
- For Stephanie:
- Employer's Contribution to Stephanie's Premium: \[tex]$104.3 - Stephanie's Cost After Contribution: \$[/tex]193.7
- Employer's Contribution to Additional Beneficiary Premium: \[tex]$104.7 - Additional Beneficiary Cost After Contribution: \$[/tex]244.3
I hope this helps you understand the health insurance cost calculations for Jim and Stephanie!
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