EXPLANATION
Let's see the facts:
-Dana deposit = $300
-Interest rate = 5%
-Compounding period = quarterly
-Number of years = 2
The Compounding formula will be:
![\text{Compounded amount = P(1+}(r)/(n))^(nt)](https://img.qammunity.org/2023/formulas/mathematics/college/7ffv8yqzc52zrw8pbdduygq6znfy21c0bq.png)
P= 300
r=5%=0.05 (In decimal form)
n= quarterly = 4
t = 2 years
Replacing values in the equation will give us:
![\text{Compounded amount = 300(1+}(0.05)/(4))^(4\cdot2)](https://img.qammunity.org/2023/formulas/mathematics/college/p3qisvgd8lphb5zelm1l0r48iwohv44cwl.png)
![\text{Compounded amount = 300(1.0125)}^8](https://img.qammunity.org/2023/formulas/mathematics/college/cu23om5mxtergfrber12hao0jelprzziu1.png)
![\text{Compounded amount = }331.34](https://img.qammunity.org/2023/formulas/mathematics/college/fv2pa0i9pohokhczf6c1tcut3ryzyddigt.png)
Answer: Dana will have $331.34 after two years.