5. The pie chart below represents Eliana's monthly budget. What percentage of her budget is allocated to savings? Monthly Budget $858 $528 $363 $429 $198 ☐ Car Expenses Housing Utilities ■ Groceries $924 Savings ■ Other

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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### Understanding Monthly Budgets: Eliana's Example

#### Problem Statement:
The pie chart below represents Eliana's monthly budget. What percentage of her budget is allocated to savings?

#### Pie Chart Explanation:
The pie chart illustrates the distribution of Eliana's monthly expenses in different categories. Each colored section of the chart corresponds to a specific category of expenditure, along with the monetary value. Below is a detailed breakdown of the categories and their allocations:

1. **Car Expenses - $429**
   - Color: Green

2. **Housing - $924**
   - Color: Purple

3. **Utilities - $198**
   - Color: Yellow

4. **Groceries - $528**
   - Color: Blue

5. **Savings - $858**
   - Color: Dark Green

6. **Other - $363**
   - Color: Orange

#### Analyzing Savings:
The savings portion is represented by the dark green section of the pie chart. The amount allocated for savings is $858. To determine the percentage of the budget that goes to savings, we need to calculate the total monthly budget and then find the percentage that $858 represents.

### Calculation:
1. **Total Monthly Budget = Sum of All Categories**
   - Total Budget = $429 (Car Expenses) + $924 (Housing) + $198 (Utilities) + $528 (Groceries) + $858 (Savings) + $363 (Other)
   - Total Budget = $3300

2. **Percentage of Budget Allocated to Savings**
   - Savings Percentage = (Savings Amount / Total Budget) * 100
   - Savings Percentage = ($858 / $3300) * 100
   - Savings Percentage ≈ 26%

Therefore, **approximately 26% of Eliana's monthly budget is allocated to savings**. This detailed categorization helps in understanding budget management and financial planning.
Transcribed Image Text:### Understanding Monthly Budgets: Eliana's Example #### Problem Statement: The pie chart below represents Eliana's monthly budget. What percentage of her budget is allocated to savings? #### Pie Chart Explanation: The pie chart illustrates the distribution of Eliana's monthly expenses in different categories. Each colored section of the chart corresponds to a specific category of expenditure, along with the monetary value. Below is a detailed breakdown of the categories and their allocations: 1. **Car Expenses - $429** - Color: Green 2. **Housing - $924** - Color: Purple 3. **Utilities - $198** - Color: Yellow 4. **Groceries - $528** - Color: Blue 5. **Savings - $858** - Color: Dark Green 6. **Other - $363** - Color: Orange #### Analyzing Savings: The savings portion is represented by the dark green section of the pie chart. The amount allocated for savings is $858. To determine the percentage of the budget that goes to savings, we need to calculate the total monthly budget and then find the percentage that $858 represents. ### Calculation: 1. **Total Monthly Budget = Sum of All Categories** - Total Budget = $429 (Car Expenses) + $924 (Housing) + $198 (Utilities) + $528 (Groceries) + $858 (Savings) + $363 (Other) - Total Budget = $3300 2. **Percentage of Budget Allocated to Savings** - Savings Percentage = (Savings Amount / Total Budget) * 100 - Savings Percentage = ($858 / $3300) * 100 - Savings Percentage ≈ 26% Therefore, **approximately 26% of Eliana's monthly budget is allocated to savings**. This detailed categorization helps in understanding budget management and financial planning.
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