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: $610425$