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Sammy calculated his total amount deposited by summing up the monthly amounts for each expense type, as well as the annual and long-term savings, which were converted to monthly amounts for consistency. Here's how the calculation is broken down:

1. **Essential (fixed) expenses**: [tex]$1292$[/tex]
2. **Essential (variable) expenses**: [tex]$420$[/tex]
3. **Non-essential expenses**: [tex]$260$[/tex]
4. **Other (predictable) expenses**: Converted annual amount to monthly: [tex]$\$130 / 12 \approx \$10.83$[/tex] per month
5. **Other (unpredictable) expenses**: Converted annual amount to monthly: [tex]$\$210 / 12 \approx \$17.50$[/tex] per month
6. **Other (long-term) savings**: Converted 5-year amount to monthly: [tex]$\$50 / 60 \approx \$0.83$[/tex] per month

By adding all the monthly amounts, Sammy arrives at a total of [tex]$\$2362$[/tex] for his monthly expenses and savings contributions.

Answer :

Sammy determined the total amount to deposit by adding together the individual amounts he planned for each expense category. Here’s a step-by-step breakdown:

1. He reserved \[tex]$1292 for Essential (fixed) expenses (such as rent, car, and insurance).

2. He set aside \$[/tex]420 for Essential (variable) expenses (basic groceries, telephone, etc.).

3. He deposited \[tex]$260 for Non-essential expenses (snacks, restaurants, movies, etc.).

4. He allocated \$[/tex]130 for Other (predictable) expenses (health exams, clothing, etc.).

5. He designated \[tex]$210 for Other (unpredictable) expenses (healthcare, repairs, etc.).

6. Lastly, he saved \$[/tex]50 for Other (long-term) expenses (vacation savings).

The total amount deposited is calculated by summing these deposits:

[tex]$$
\text{Total Deposited} = 1292 + 420 + 260 + 130 + 210 + 50
$$[/tex]

Evaluating the sum gives:

[tex]$$
\text{Total Deposited} = 2362
$$[/tex]

In summary, Sammy calculated his total deposited amount as \$2362 by summing all the individual amounts for each expense category.

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