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Fill in the missing amounts.

\begin{tabular}{|c|c|c|c|}
\hline & Mar & Apr & May \\
\hline Receipts & \[tex]$1,155 & \$[/tex]1,250 & \[tex]$ \\
\hline Expenses & \$[/tex]1,100 & \[tex]$990 & \$[/tex]900 \\
\hline Net Cash Flow & \[tex]$55 & \$[/tex]\checkmark & \[tex]$45 \\
\hline Cumulative Balance & \$[/tex] & \[tex]$315 & \$[/tex]360 \\
\hline
\end{tabular}

Sagot :

GinnyAnsweridn
Let's fill in the missing amounts step-by-step.

1. Receipts for May:

Net Cash Flow for May (NCF-May) can be calculated based on the receipts and expenses for May. We are already given:
- Expenses for May (E-May) = \[tex]$900 - Net Cash Flow for May (NCF-May) = \$[/tex]45

The relationship between receipts, expenses, and net cash flow is:
[tex]\[ \text{Receipts} = \text{Net Cash Flow} + \text{Expenses} \][/tex]

Substituting the given values:
[tex]\[ \text{Receipts for May} = 45 + 900 = \$945 \][/tex]

2. Net Cash Flow for April:

Similarly, Net Cash Flow for April (NCF-Apr) is calculated from the difference between receipts and expenses. We are given:
- Receipts for April (R-Apr) = \[tex]$1250 - Expenses for April (E-Apr) = \$[/tex]990

The formula to calculate Net Cash Flow is:
[tex]\[ \text{Net Cash Flow} = \text{Receipts} - \text{Expenses} \][/tex]

Substituting the given values:
[tex]\[ \text{Net Cash Flow for April} = 1250 - 990 = \$260 \][/tex]

3. Cumulative Balance for March:

Cumulative Balance for April (CB-Apr) is given, and it can be obtained by adding March's Cumulative Balance (CB-Mar) and Net Cash Flow for March (NCF-Mar):
- Net Cash Flow for March (NCF-Mar) = \[tex]$55 - Cumulative Balance for April (CB-Apr) = \$[/tex]315

The relationship is:
[tex]\[ \text{Cumulative Balance for April} = \text{Cumulative Balance for March} + \text{Net Cash Flow for March} \][/tex]

Re-arranging to find March's Cumulative Balance:
[tex]\[ \text{Cumulative Balance for March} = \text{Cumulative Balance for April} - \text{Net Cash Flow for March} \][/tex]
[tex]\[ \text{Cumulative Balance for March} = 315 - 55 = \$260 \][/tex]

Now we have all the missing amounts:

- Receipts in May: \[tex]$945 - Net Cash Flow in April: \$[/tex]260
- Cumulative Balance for March: \[tex]$260 \[ \begin{array}{|c|c|c|c|} \hline & \text{Mar} & \text{Apr} & \text{May} \\ \hline \text{Receipts} & \$[/tex]1,155 & \[tex]$1,250 & \$[/tex]945 \\
\hline
\text{Expenses} & \[tex]$1,100 & \$[/tex]990 & \[tex]$900 \\ \hline \text{Net Cash Flow} & \$[/tex]55 & \[tex]$260 & \$[/tex]45 \\
\hline
\text{Cumulative Balance} & \[tex]$260 & \$[/tex]315 & \$360 \\
\hline
\end{array}
\]
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