Answer:
The ending balance in the account is $70383.6
Explanation:
Given as :
The invested principal = $51,300
The compounded interest semiannually = 4%
The time period = 8 years
Now from compounded method ,
![Amount = Principal * (1 + (Rate)/(2* 100))^(2* Time)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yeajfaz39k6p25scnjvjb5c8u87kqsjlgn.png)
Or,
![Amount = $51,300 * (1 + (4)/(2* 100))^(2* 8)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/66ws1xfz8woh8pwaibloku1kmcia9tklj9.png)
Or, Amount = $51,300 ×
![(1.02)^(16)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/k3svc6x5qli0d2t22y2pz0fiwz1pndjy71.png)
Or, Amount = $51,300 × 1.372
∴ Amount = $70383.6
Hence, The ending balance in the account is $70383.6 Answer