Answer: He will earn $75 after 3 years.
Explanation: To calculate Simple Interest, we use the formula:
.....(1)
where, i = Simple Interest
P = Principle amount
R = Rate of interest
t = Time period
Given:
P = $500
R = 5%
t = semiannually which means
years
As we are asked the total amount earned after 3 years which means 6 half years, so we multiply the interest calculated semiannually by 6 to get the total interest after 3 years.
Putting all the values in equation 1, we get
![i=\left((500* 5* 1)/(100* 2)\right )* 6](https://img.qammunity.org/2019/formulas/chemistry/high-school/3etap7l35npry86h2govvifzurzibsfu6a.png)
i = $75
Total amount earned after 3 years = i = $75
= $75