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James has a job with a current salary of \( \$ 42,000 \). He wants to earn a college degree that will take him 2 years to complete and it will cost \( \$ 28,000 \) per year. He will go to school full time and will not be able to work. Upon graduation, James' new salary will be \( \$ 56,000 \) per year. How many years will it take James to recover his investment? a. 1.3 years b. 2.5 years c. 10 years d. 20 years.

Ask by Pierce Bird. in the United States
Feb 24,2025

Upstudy AI Solution

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Answer

It will take James 10 years to recover his investment.

Solution

To determine how long it takes for James to recover his investment in a college degree, we need to compare his earnings if he did not go to college (continuing his current salary) with his earnings after graduation. Step 1. Calculate the total cost of the investment when going to school. • In 2 years, while James is in school, he incurs two types of costs:  - Tuition: 2 years × $28,000 per year = $56,000  - Lost salary: 2 years × $42,000 per year = $84,000 • Total cost (investment) = Tuition + Lost Salary = $56,000 + $84,000 = $140,000 Step 2. Compute the increase in his annual salary after graduation. • After graduation, his new salary = $56,000 per year. • Without the degree, he would have continued earning $42,000 per year. • Annual increase = $56,000 − $42,000 = $14,000 Step 3. Determine the number of years required to recover the $140,000 investment using the annual increase. • Number of years = Total investment ÷ Annual increase = $140,000 ÷ $14,000 = 10 years Thus, it will take James 10 years to recover his investment. The correct answer is 10 years.

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Beyond the Answer

First, let's break down James' financial situation. Over the two years of school, James will spend a total of \( \$ 56,000 \) (\( 2 \times 28,000 \)). While he is in school, he will also miss out on his \( \$ 42,000 \) salary, adding another \( \$ 84,000 \) in lost earnings over two years. This results in a total investment of \( \$ 140,000 \). Once James graduates, his new salary will be \( \$ 56,000 \). The difference in his salary pre- and post-graduation is \( \$ 14,000 \) annually (\( \$ 56,000 - \$ 42,000 \)). To recover his total investment of \( \$ 140,000 \), it will take approximately \( 10 \) years (\( 140,000 / 14,000 \)). So, the answer is c. 10 years. James might find it helpful to consider not just his financial investment but also the broader benefits of his degree—like networking, knowledge, and potential future opportunities that can boost his income further down the line! Plus, no more ramen noodles after graduation; say hello to a decent salary!

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