Question

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Explanation:

Identify the missing values

We need to complete the table by calculating the missing values for each category.
A standard budget relates monthly and yearly values by a factor of 12:

$$ \text{Yearly} = \text{Monthly} \times 12 $$

$$ \text{Monthly} = \frac{\text{Yearly}}{12} $$

Calculate missing monthly values

We calculate the monthly values for categories where only the yearly value is given:

• Hostel / Rent:

$$ \text{Monthly} = \frac{13186}{12} \approx 1098.83 $$

• Visa / Extension:

$$ \text{Monthly} = \frac{6000}{12} = 500 $$

• Health Insurance:

$$ \text{Monthly} = \frac{4200}{12} = 350 $$

• Transportation:

$$ \text{Monthly} = \frac{2000}{12} \approx 166.67 $$

• Education Materials:

$$ \text{Monthly} = \frac{12000}{12} = 1000 $$

Calculate missing yearly values

We calculate the yearly values for categories where only the monthly value is given:

• Food & Groceries:

$$ \text{Yearly} = 12000 \times 12 = 144000 $$

(Note: This is already filled in the table as 144000)

• Medical Tests:

$$ \text{Yearly} = 300 \times 12 = 3600 $$

(Note: This is already filled in the table as 3600)

• Phone & Internet:

The monthly cell contains \(590 + 350 = 940\).

$$ \text{Yearly} = 940 \times 12 = 11280 $$

(Note: This is already filled in the table as 11280)

• Personal Care:

$$ \text{Yearly} = 1000 \times 12 = 12000 $$

(Note: This is already filled in the table as 12000)

• Emergency Savings:

$$ \text{Yearly} = 3000 \times 12 = 36000 $$

(Note: This is already filled in the table as 36000)

• Entertainment:

$$ \text{Yearly} = 1000 \times 12 = 12000 $$

(Note: This is already filled in the table as 12000)

• Savings:

$$ \text{Yearly} = 2000 \times 12 = 24000 $$

(Note: This is already filled in the table as 24000)

Calculate the totals

We sum all the monthly values and all the yearly values to find the totals:

• Total Monthly:

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• Total Yearly:

$$
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Let's verify:

$$ 23355.50 \times 12 = 280266 $$

The calculations are consistent.

Answer:

Based on the standard relationship where \(\text{Yearly} = \text{Monthly} \times 12\), here is the completed budget table:

Category	Monthly (\(\mathbb{P}\))	Yearly (\(\mathbb{P}\))
Visa / Extension	500.00	6000
Health Insurance	350.00	4200
Food & Groceries	12000	144000
Medical Tests	300	3600
Transportation	166.67	2000
Phone & Internet	940 (590+350)	11280
Education Materials	1000.00	12000
Personal Care	1000	12000
Emergency Savings	3000	36000
Entertainment	1000	12000
Savings	2000	24000
TOTAL	23355.50	280266