Final answer:
The home that originally cost $150,000 will be worth $213,900 three years later.
Step-by-step explanation:
To find the value of the home three years later, we need to calculate the increase in value each year. Since the home value increases by 13% every year, we can use the formula:
Final Value = Initial Value * (1 + Rate of Increase)
Plugging in the values:
Final Value = $150,000 * (1 + 0.13)^3
Final Value = $150,000 * 1.13^3
Final Value = $150,000 * 1.426
Final Value = $213,900