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Sagot :
Certainly! Let's break down the calculations step by step to find out how much you would have available for spending in 2021.
### Given:
- Disposable income in 2021: \[tex]$12,000 - Amount borrowed in 2020: \$[/tex]580
- Interest rate: 15%
### Step-by-Step Solution:
1. Calculate the interest paid on the loan:
The interest on the borrowed amount (\[tex]$580) at a 15% interest rate is calculated as: \[ \text{Interest Paid} = \text{borrowed amount} \times \text{interest rate} \] Plugging in the values: \[ \text{Interest Paid} = 580 \times 0.15 = 87.0 \] 2. Calculate the total amount repaid for the loan: The total amount repaid includes both the borrowed amount and the interest paid. This is calculated as: \[ \text{Total Repaid} = \text{borrowed amount} + \text{interest paid} \] Plugging in the values: \[ \text{Total Repaid} = 580 + 87.0 = 667.0 \] 3. Calculate the available spending amount in 2021: The available spending amount is found by subtracting the total amount repaid from your disposable income in 2021. This is calculated as: \[ \text{Spending Available} = \text{disposable income} - \text{total repaid} \] Plugging in the values: \[ \text{Spending Available} = 12000 - 667.0 = 11333.0 \] ### Conclusion: In 2021, you would have \$[/tex]11,333 available for spending after repaying the loan with interest.
So, the final amount available for spending in 2021 is \$11,333.
### Given:
- Disposable income in 2021: \[tex]$12,000 - Amount borrowed in 2020: \$[/tex]580
- Interest rate: 15%
### Step-by-Step Solution:
1. Calculate the interest paid on the loan:
The interest on the borrowed amount (\[tex]$580) at a 15% interest rate is calculated as: \[ \text{Interest Paid} = \text{borrowed amount} \times \text{interest rate} \] Plugging in the values: \[ \text{Interest Paid} = 580 \times 0.15 = 87.0 \] 2. Calculate the total amount repaid for the loan: The total amount repaid includes both the borrowed amount and the interest paid. This is calculated as: \[ \text{Total Repaid} = \text{borrowed amount} + \text{interest paid} \] Plugging in the values: \[ \text{Total Repaid} = 580 + 87.0 = 667.0 \] 3. Calculate the available spending amount in 2021: The available spending amount is found by subtracting the total amount repaid from your disposable income in 2021. This is calculated as: \[ \text{Spending Available} = \text{disposable income} - \text{total repaid} \] Plugging in the values: \[ \text{Spending Available} = 12000 - 667.0 = 11333.0 \] ### Conclusion: In 2021, you would have \$[/tex]11,333 available for spending after repaying the loan with interest.
So, the final amount available for spending in 2021 is \$11,333.
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