Let's solve this problem step-by-step:
1. Identify the initial salary and the percentage increase:
The woman's initial salary is [tex]$35,000 per year.
The cost-of-living increase is 2.2%.
2. Convert the percentage increase to a decimal:
Since percentages are based on 100, we convert 2.2% to a decimal by dividing by 100:
\[
2.2\% = \frac{2.2}{100} = 0.022
\]
3. Calculate the amount of the increase in salary:
To find the amount of the increase, multiply the initial salary by the decimal form of the percentage:
\[
\text{Increase amount} = 35,000 \times 0.022 = 770.00
\]
4. Calculate the new salary:
Add the increase amount to the initial salary to get the new salary:
\[
\text{New salary} = 35,000 + 770.00 = 35,770.00
\]
So, the woman's new salary, after receiving a 2.2% cost-of-living increase, will be $[/tex]35,770 per year.
