To fill in the missing amounts in the table, we will look at each column and perform the necessary calculations step by step. Here’s how you can proceed:
### Step 1: Calculate the missing receipts for May.
The cumulative balance at the end of April plus the net cash flow in May should equal the cumulative balance at the end of May. Therefore, we can set up an equation:
[tex]\[ \text{cumulative balance at the end of April} + (\text{receipts in May} - \text{expenses in May}) = \text{cumulative balance at the end of May} \][/tex]
[tex]\[ 315 + (\text{receipts in May} - 900) = 360 \][/tex]
Solve for the receipts in May:
[tex]\[ 315 + \text{receipts in May} - 900 = 360 \][/tex]
[tex]\[ \text{receipts in May} - 585 = 360 \][/tex]
[tex]\[ \text{receipts in May} = 360 + 585 \][/tex]
[tex]\[ \text{receipts in May} = 945 \][/tex]
### Step 2: Calculate the net cash flow for April.
The net cash flow for April is simply the difference between the receipts and the expenses in April:
[tex]\[ \text{net cash flow in April} = \text{receipts in April} - \text{expenses in April} \][/tex]
[tex]\[ = 1250 - 990 \][/tex]
[tex]\[ = 260 \][/tex]
### Step 3: Calculate the cumulative balance for March.
The cumulative balance at the end of March plus the net cash flow in April should equal the cumulative balance at the end of April. We can set up another equation:
[tex]\[ \text{cumulative balance at the end of March} (C) + \text{net cash flow in April} = \text{cumulative balance at the end of April} \][/tex]
[tex]\[ C + 260 = 315 \][/tex]
Solve for the cumulative balance at the end of March:
[tex]\[ C = 315 - 260 \][/tex]
[tex]\[ C = 55 \][/tex]
Now we can fill in the table:
[tex]\[
\begin{tabular}{|r|l|l|l|l|}
\hline & \multicolumn{1}{|c|}{ Mar } & & Apr & \\
\hline Recelpts & \$ 1,155 & & \$ 1,250 & & \$ 945 \\
\hline Expenses & \$ 1,100 & & \$ 990 & & \$ 900 \\
\hline Net Cash Flow & \$ 55 & & \$ 260 & & \$ 45 \\
\hline Cumulative Balance & \$ 55 & & \$ 315 & & \$ 360 \\
\hline
\end{tabular}
\][/tex]
So, the missing amounts are as follows:
- Receipts in May: \[tex]$945
- Net Cash Flow in April: \$[/tex]260
- Cumulative Balance in March: \$55
