Naomi 从出售一栋房屋中获得了 $35 750 的佣金。这笔钱按 5 : 4 : 6 的比例分配给他的日常支出、保险费和储蓄。储蓄以每年 0.25% 的利率进行每季度复利投资，期限为 2 年。计算所赚取的复利。 答案 $ ...

1. Calculate the amount allocated to savings

Total parts = $5 + 4 + 6 = 15$

$\text{Savings} = \frac{6}{15} \times 35750 = \char36{}14300$

2. Calculate the total amount after 2 years with quarterly compounding

Rate per quarter = $\frac{0.25\%}{4} = 0.0625\%$
Number of quarters = $2 \times 4 = 8$

$\text{Total Amount} = 14300 \left(1 + \frac{0.0625}{100}\right)^8$
$= 14300(1.000625)^8$
$\approx 14371.6564$

3. Calculate the compound interest earned

$\text{Compound Interest} = 14371.6564 - 14300 = 71.6564$
$\approx \char36{}71.66$ (to 2 d.p.)