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Brenda has an associate's degree and earns the median salary. She wants to quit working and go to college to get a basic bachelor's degree. If she completes her degree in 2 years and it costs [tex]$\$[/tex]15,000$, how long will it take her to recover her investment, assuming that she earns the median salary after graduating?

Sagot :

To determine how long it will take Brenda to recover her investment in obtaining a bachelor's degree, we need to compare the increase in her annual salary with the cost of getting the degree.

### Step-by-Step Solution:

1. Identify the median salaries:
- Median salary for associate's degree: \[tex]$38,000 - Median salary for bachelor's degree: \$[/tex]50,000

2. Calculate the difference between the salaries:
[tex]\[ \text{Difference in salaries} = \text{Median salary for bachelor's degree} - \text{Median salary for associate's degree} \][/tex]

Plugging in the numbers:
[tex]\[ \text{Difference in salaries} = 50,000 - 38,000 = 12,000 \][/tex]

Brenda will earn \[tex]$12,000 more per year with a bachelor's degree compared to what she earns with an associate's degree. 3. Determine the cost of obtaining the bachelor's degree: - Cost of bachelor's degree: \$[/tex]15,000

4. Calculate the time to recover the investment:
[tex]\[ \text{Recovery time} = \frac{\text{Cost of bachelor's degree}}{\text{Difference in salaries}} \][/tex]

Using the values:
[tex]\[ \text{Recovery time} = \frac{15,000}{12,000} = 1.25 \text{ years} \][/tex]

Therefore, it will take Brenda 1.25 years to recover her investment in obtaining a bachelor's degree.