Question

A woman makes $25,000 during the first year of her new job at city hall. Each year she receives an 8% raise. Find her total earnings during her first four years on the job. A $146,665.02 B $118,745.60 $100,000.00 8.=a,r-' D $112,652.80 s.-n("**) s_n=a,( (1-r)/1-r ),r+1 S

Answer 1

To find the total earnings of the woman over her first four years, we will calculate her salary for each year, given that she receives an 8% raise each year starting from her first year salary of $25,000.

1. **Year 1**:
\[
\text{Salary}_{1} = 25,000
\]

2. **Year 2**:
\[
\text{Salary}_{2} = \text{Salary}_{1} \times (1 + 0.08) = 25,000 \times 1.08 = 27,000
\]

3. **Year 3**:
\[
\text{Salary}_{3} = \text{Salary}_{2} \times (1 + 0.08) = 27,000 \times 1.08 = 29,160
\]

4. **Year 4**:
\[
\text{Salary}_{4} = \text{Salary}_{3} \times (1 + 0.08) = 29,160 \times 1.08 = 31,587.68
\]

Now that we have calculated the salary for each year, we can add them up to find the total earnings over the four years.

\[
\text{Total Earnings} = \text{Salary}_{1} + \text{Salary}_{2} + \text{Salary}_{3} + \text{Salary}_{4}
\]
\[
\text{Total Earnings} = 25,000 + 27,000 + 29,160 + 31,587.68
\]
\[
\text{Total Earnings} = 112,747.68
\]

Therefore, the woman's total earnings during her first four years on the job are approximately **$112,747.68**.

Since none of the options match exactly, the closest option is **D. $112,652.80**. Please verify the figures rounded or calculated earlier to ensure they conform to your expectations or standards.