Math, asked by sumanmohanty8590, 9 months ago

The average daily balance is the mean of the balance in an account at the end of each day in a month. The following table gives the dates and amounts of the transactions in Elliott's account in June.
Day of June Transaction type Transaction amount (in dollars)
111 Starting balance 122312231223
101010 Deposit 615615615
151515 Withdrawal -63−63minus, 63
222222 Withdrawal -120−120minus, 120
There are 303030 days in June.
What is the average daily balance of Elliott's account for the month of June?
dollars

Answers

Answered by amitnrw
28

Given :  The dates and amounts of the transactions in Elliott's account in June.

To find : the average daily balance of Elliott's account for the month of June

Solution:

The average daily balance is the mean of the balance in an account at the end of each day in a month

Day            Transaction type      Transaction amount ($)  Balance

1                   Starting balance            1223                            1223  

10                 Deposit                          615                              1838

15                 Withdrawal                    -63                               1775

22                 Withdrawal                   -120                              1655

Balance         Number of Day                 Balance * Days

1223               9    ( 1 to 9 june)                       11007

1838               5     ( 10 to 14 june)                    9190

1775               7      ( 15 to 21 June)                  12425

1655              9      ( 22 to 30 june)                  14895

                     30   Days                                  47517

average daily balance = 47517/30

= 1583.9 $

1583.9 $ is  the average daily balance of Elliott's account for the month of June

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