\begin{tabular}{l} Check My Work \\ Note: Please make sure to properly format your answers. All dollar figures in the answers need to include the dollar sign and any amount over \\ 1,000 should include the comma ( \( \$ 2,354.67 \) ). All percentage values in the answers need to include a percentage sign (\%). For all items without \\ specific rounding instructions, round your answers to two decimal places, show both decimal places ( 5,06 ). \\ \hline At Richardson Manufacturing Company, there are two factors that determine the cost of health care. If an employee makes less than \\ \( \$ 55,000 \) per year, he pays \( \$ 60 \) per month for individual coverage and \( \$ 115 \) per month for family coverage. If an employee makes at least \\ \( \$ 55,000 \) per year, Individual coverage is \( \$ 90 \) per month and family coverage is \( \$ 165 \) per month. \\ a. Arielle is an office assistant at Richardson. She makes \( \$ 47,700 \) per year. She has individual health care. Her yearly contribution is \( 5 \% \) of \\ the total cost of the health care policy. How much does her employer contribute? \\ b. Catherine is a department manager at Richardson. Her annual salary is \( \$ 68,300 \). She has family health care. Her employer contributes \\ \( \$ 935 \) per month towards her total coverage cost. What percent does Catherine contribute toward the total coverage? \end{tabular}

Sure, let's go through each problem step-by-step to ensure the answers are correctly calculated and properly formatted according to your instructions. --- ### **a. Employer Contribution for Arielle** **Given:** - **Annual Salary:** \$47,700 (which is less than \$55,000) - **Health Coverage:** Individual - **Employee Contribution:** 5% of the total cost - **Monthly Cost for Individual Coverage:** \$60 **Calculations:** 1. **Total Annual Cost of Health Coverage:** \[ \$60 \times 12 = \$720.00 \] 2. **Employee's Annual Contribution (5% of Total Cost):** \[ 0.05 \times \$720.00 = \$36.00 \] 3. **Employer's Annual Contribution:** \[ \$720.00 - \$36.00 = \$684.00 \] **Answer:** \[ \$684.00 \] --- ### **b. Catherine's Contribution Percentage** **Given:** - **Annual Salary:** \$68,300 (which is at least \$55,000) - **Health Coverage:** Family - **Employer's Monthly Contribution:** \$935 - **Monthly Cost for Family Coverage:** \$165 **Assumption:** Given the employer's contribution of \$935 per month seems excessively high compared to the monthly coverage cost of \$165, it's reasonable to assume that the \$935 contribution is **annual**. **Calculations:** 1. **Total Annual Cost of Health Coverage:** \[ \$165 \times 12 = \$1,980.00 \] 2. **Employer's Annual Contribution:** \[ \$935.00 \] 3. **Employee's Annual Contribution:** \[ \$1,980.00 - \$935.00 = \$1,045.00 \] 4. **Employee's Contribution Percentage:** \[ \left( \frac{\$1,045.00}{\$1,980.00} \right) \times 100 = 52.76\% \] **Answer:** \[ 52.76\% \] --- Please let me know if you need any further assistance!