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Mr. Thom makes \[tex]$25,900 per year as a document processor. He has made the following chart to divide his weekly paycheck into his accounts:

\begin{tabular}{|l|l|l|}
\hline
Expense type & Account & Weekly deposits \\
\hline
Essential (Fixed) & $[/tex]1^{\text{st}}[tex]$ Checking account & \$[/tex]219 \\
\hline
Essential (Variable) & [tex]$1^{\text{st}}$[/tex] Checking account & \[tex]$115 \\
\hline
Non-essential & $[/tex]2^{\text{nd}}[tex]$ Checking account & \$[/tex]40 \\
\hline
Other (Unexpected) & Emergency savings account & \[tex]$20 \\
\hline
Other (Predictable) & Education investment fund & \$[/tex]10 \\
\hline
Other (Predictable) & Retirement investment fund & \[tex]$40 \\
\hline
Other (Predictable) & Emergency savings account & \$[/tex]15 \\
\hline
Total paycheck & & \$498 \\
\hline
\end{tabular}

Unfortunately, he has made a mistake in adding the numbers and has not allocated all of the paycheck. If he deposits the difference into the two emergency savings accounts, how much total per week can he then put towards emergency savings?



Answer :

GinnyAnswer
Let's tackle Mr. Thom's budget allocations step by step to determine how much he can put towards his emergency savings each week.

First, we identify the weekly deposit amounts for each type of expense:
- Essential (Fixed): [tex]$219 - Essential (Variable): $[/tex]115
- Non-essential: [tex]$40 - Unexpected (Other): $[/tex]20
- Predictable (Education): [tex]$10 - Predictable (Retirement): $[/tex]40
- Predictable (Emergency): [tex]$15 Next, we calculate the sum of all allocated amounts: \[ 219 + 115 + 40 + 20 + 10 + 40 + 15 = 459 \] Given Mr. Thom's total weekly paycheck of $[/tex]498, we determine the unallocated amount:
[tex]\[ 498 - 459 = 39 \][/tex]

Mr. Thom decides to deposit this unallocated amount into his emergency savings. The total contributions to emergency savings will include:
- Unallocated amount: [tex]$39 - Unexpected (Other): $[/tex]20
- Predictable (Emergency): [tex]$15 Summing these amounts, we get: \[ 39 + 20 + 15 = 74 \] Thus, Mr. Thom can put a total of $[/tex]74 towards his emergency savings each week.

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