Final answer:
The future value of the home after 10 years, assuming a 4% interest rate, is $197,352.89.
Step-by-step explanation:
To find the future value of the home after 10 years, we can use the compound interest formula. The formula is: Future Value = Principal × (1 + interest rate)^time. In this case, the principal is the full purchase price of the home, and the interest rate is 4%. Plugging in the values, we get: Future Value = $150,000 × (1 + 0.04)^10. Solving this equation, we find that the future value of the home after 10 years is $197,352.89.