Subjects finance

Student Loan 5C39D5

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1. **Problem Statement:** Calculate Nolwazi's monthly payments for a student loan of 150000 with simple annual interest of 8.2% over 12 years. 2. **Formula for Simple Interest:** $$I = P \times r \times t$$ where $I$ is interest, $P$ is principal, $r$ is annual interest rate (decimal), and $t$ is time in years. 3. **Calculate total interest:** $$I = 150000 \times 0.082 \times 12 = 147600$$ 4. **Calculate total amount to be repaid:** $$A = P + I = 150000 + 147600 = 297600$$ 5. **Calculate monthly payments:** Number of months = $12 \times 12 = 144$ $$\text{Monthly payment} = \frac{A}{144} = \frac{297600}{144} = 2066.67$$ 1.1.2 **Problem Statement:** Calculate amount owed after 6 years of payments. 6. **Calculate interest for 6 years:** $$I_{6} = 150000 \times 0.082 \times 6 = 73800$$ 7. **Calculate total amount owed after 6 years:** $$A_{6} = P + I_{6} = 150000 + 73800 = 223800$$ 8. **Calculate total payments made in 6 years:** $$\text{Payments} = 2066.67 \times (6 \times 12) = 2066.67 \times 72 = 148800$$ 9. **Calculate remaining balance:** $$\text{Remaining} = A - \text{Payments} = 297600 - 148800 = 148800$$ Rounded to nearest emalangeni: 148800