Subjects finance

Simple Interest Loan

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Simple Interest Loan


1. **State the problem:** We have a loan principal $P = 450000$, an annual simple interest rate $r = 6.2\% = 0.062$, and a time period $t = 5$ years and $9$ months. 2. **Convert time to years:** Since 9 months is $\frac{9}{12} = 0.75$ years, total time $t = 5 + 0.75 = 5.75$ years. 3. **Formula for simple interest:** $$I = P \times r \times t$$ where $I$ is the interest accrued. 4. **Calculate the interest:** $$I = 450000 \times 0.062 \times 5.75$$ $$I = 450000 \times 0.3565 = 160425$$ 5. **Calculate the total amount to be repaid:** The total amount $A$ is the sum of the principal and the interest: $$A = P + I = 450000 + 160425 = 610425$$ **Final answers:** - Total interest accrued: $160425$ - Total amount to be repaid: $610425$