Answer :
Let's fill in the missing amounts one by one, based on the provided financial information.
### Receipts for May
To find the receipts for May, we use the net cash flow and expenses for May. The net cash flow is calculated as receipts minus expenses.
Given:
- Net Cash Flow (May) = [tex]$45 - Expenses (May) = $[/tex]900
[tex]\[ \text{Receipts (May)} = \text{Net Cash Flow (May)} + \text{Expenses (May)} = \$45 + \$900 = \$945 \][/tex]
### Net Cash Flow for April
The net cash flow for April can be found by subtracting the expenses from the receipts for April.
Given:
- Receipts (April) = [tex]$1,250 - Expenses (April) = $[/tex]990
[tex]\[ \text{Net Cash Flow (April)} = \text{Receipts (April)} - \text{Expenses (April)} = \$1,250 - \$990 = \$260 \][/tex]
### Cumulative Balance for March
The cumulative balance for April was given to be [tex]$315. We can find the cumulative balance for March by subtracting the net cash flows of March and April from the cumulative balance of April. Given: - Cumulative Balance (April) = $[/tex]315
- Net Cash Flow (April) = [tex]$260 - Net Cash Flow (March) = $[/tex]55
[tex]\[ \text{Cumulative Balance (March)} = \text{Cumulative Balance (April)} - \text{Net Cash Flow (April)} - \text{Net Cash Flow (March)} = \$315 - \$260 - \$55 = \$0 \][/tex]
### Final table with filled amounts
\begin{tabular}{|c|c|c|c|}
\hline & Mar & Apr & May \\
\hline Receipts & [tex]$\$[/tex] 1,155[tex]$ & $[/tex]\[tex]$ 1,250$[/tex] & [tex]$\$[/tex] 945[tex]$ \\ \hline Expenses & $[/tex]\[tex]$ 1,100$[/tex] & [tex]$\$[/tex] 990[tex]$ & $[/tex]\[tex]$ 900$[/tex] \\
\hline Net Cash Flow & [tex]$\$[/tex] 55[tex]$ & $[/tex]\[tex]$ 260$[/tex] & [tex]$\$[/tex] 45[tex]$ \\ \hline Cumulative Balance & $[/tex]\[tex]$ 0$[/tex] & [tex]$\$[/tex] 315[tex]$ & $[/tex]\[tex]$ 360$[/tex] \\
\hline
\end{tabular}
These calculations ensure we have the correct financial figures for each category and month.
### Receipts for May
To find the receipts for May, we use the net cash flow and expenses for May. The net cash flow is calculated as receipts minus expenses.
Given:
- Net Cash Flow (May) = [tex]$45 - Expenses (May) = $[/tex]900
[tex]\[ \text{Receipts (May)} = \text{Net Cash Flow (May)} + \text{Expenses (May)} = \$45 + \$900 = \$945 \][/tex]
### Net Cash Flow for April
The net cash flow for April can be found by subtracting the expenses from the receipts for April.
Given:
- Receipts (April) = [tex]$1,250 - Expenses (April) = $[/tex]990
[tex]\[ \text{Net Cash Flow (April)} = \text{Receipts (April)} - \text{Expenses (April)} = \$1,250 - \$990 = \$260 \][/tex]
### Cumulative Balance for March
The cumulative balance for April was given to be [tex]$315. We can find the cumulative balance for March by subtracting the net cash flows of March and April from the cumulative balance of April. Given: - Cumulative Balance (April) = $[/tex]315
- Net Cash Flow (April) = [tex]$260 - Net Cash Flow (March) = $[/tex]55
[tex]\[ \text{Cumulative Balance (March)} = \text{Cumulative Balance (April)} - \text{Net Cash Flow (April)} - \text{Net Cash Flow (March)} = \$315 - \$260 - \$55 = \$0 \][/tex]
### Final table with filled amounts
\begin{tabular}{|c|c|c|c|}
\hline & Mar & Apr & May \\
\hline Receipts & [tex]$\$[/tex] 1,155[tex]$ & $[/tex]\[tex]$ 1,250$[/tex] & [tex]$\$[/tex] 945[tex]$ \\ \hline Expenses & $[/tex]\[tex]$ 1,100$[/tex] & [tex]$\$[/tex] 990[tex]$ & $[/tex]\[tex]$ 900$[/tex] \\
\hline Net Cash Flow & [tex]$\$[/tex] 55[tex]$ & $[/tex]\[tex]$ 260$[/tex] & [tex]$\$[/tex] 45[tex]$ \\ \hline Cumulative Balance & $[/tex]\[tex]$ 0$[/tex] & [tex]$\$[/tex] 315[tex]$ & $[/tex]\[tex]$ 360$[/tex] \\
\hline
\end{tabular}
These calculations ensure we have the correct financial figures for each category and month.