The average daily balance in Elliott's account for the month of June is approximately $216.37.
To calculate the average daily balance for Elliott's account in June, we need to determine the daily balance for each day and then find the mean (average) of these daily balances.
Here's the calculation step by step:
Starting balance on June 1st: $1223
June 10th (Deposit):
Daily balance on June 10th = Starting balance + Deposit
Daily balance on June 10th = $1223 + $615 = $1838
June 15th (Withdrawal):
Daily balance on June 15th = Previous daily balance - Withdrawal
Daily balance on June 15th = $1838 - $63 = $1775
June 22nd (Withdrawal):
Daily balance on June 22nd = Previous daily balance - Withdrawal
Daily balance on June 22nd = $1775 - $120 = $1655
Now, we need to find the average daily balance:
![\begin{aligned}& \text { Average Daily Balance }=\frac{\text { Sum of Daily Balances }}{\text { Number of Days }} \\& \text { Average Daily Balance }=((1223+1838+1775+1655))/(30) \\& \text { Average Daily Balance }=(6491)/(30) \\& \text { Average Daily Balance } \approx 216.3667\end{aligned}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hdjdgqpfmc7frx7sp1nabyy893ic2yf0zc.png)
So, the average daily balance for Elliott's account in June is approximately $216.37.