### Detailed Solution:
1. Initial Information:
- Initial Balance: [tex]\( R 8200 \)[/tex]
- Deposit Fee Percentage: 1.20%
- Yearly Deposits:
- Year 0: [tex]\( R 2004 \)[/tex]
- Year 1: [tex]\( R 1400 \)[/tex]
- Year 2: [tex]\( R 1600 \)[/tex]
- Year 3: [tex]\( R 1240 \)[/tex]
- Year 4: [tex]\( R 1332 \)[/tex]
2. Calculating Deposit Fees:
- For Year 0:
[tex]\[
\text{Deposit Fee} = 2004 \times \frac{1.20}{100} = R 24.048
\][/tex]
- For Year 1:
[tex]\[
\text{Deposit Fee} = 1400 \times \frac{1.20}{100} = R 16.8
\][/tex]
- For Year 2:
[tex]\[
\text{Deposit Fee} = 1600 \times \frac{1.20}{100} = R 19.2
\][/tex]
- For Year 3:
[tex]\[
\text{Deposit Fee} = 1240 \times \frac{1.20}{100} = R 14.88
\][/tex]
- For Year 4:
[tex]\[
\text{Deposit Fee} = 1332 \times \frac{1.20}{100} = R 15.984
\][/tex]
3. Calculating Net Deposits After Fees:
- For Year 0:
[tex]\[
\text{Net Deposit} = 2004 - 24.048 = R 1979.952
\][/tex]
- For Year 1:
[tex]\[
\text{Net Deposit} = 1400 - 16.8 = R 1383.2
\][/tex]
- For Year 2:
[tex]\[
\text{Net Deposit} = 1600 - 19.2 = R 1580.8
\][/tex]
- For Year 3:
[tex]\[
\text{Net Deposit} = 1240 - 14.88 = R 1225.12
\][/tex]
- For Year 4:
[tex]\[
\text{Net Deposit} = 1332 - 15.984 = R 1316.016
\][/tex]
4. Calculating the Final Balance:
- Sum of Net Deposits:
[tex]\[
\text{Total Net Deposits} = 1979.952 + 1383.2 + 1580.8 + 1225.12 + 1316.016 = R 7485.088
\][/tex]
- Adding Total Net Deposits to Initial Balance:
[tex]\[
\text{Final Balance} = 8200 + 7485.088 = R 15685.088
\][/tex]
### Summary:
- Deposit Fees: [tex]\([24.048, 16.8, 19.2, 14.88, 15.984]\)[/tex]
- Net Deposits after Fees: [tex]\([1979.952, 1383.2, 1580.8, 1225.12, 1316.016]\)[/tex]
- Final Balance: [tex]\( R 15685.088 \)[/tex]
