Answer:
The simple interest for $152, 2.5%, 18 month is $5.7
Solution:
Given that, principal amount = $ 152, interest rate = 2.5 % and time period = 18 months.
Now we have to calculate the simple interest for above given values.
We know that, simple interest is given as
![=\frac{\text { principal amount } * \text { interest rate } * \text { time period in years }}{100}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ku58zthm37qa275ivgc7q96q425bnp47dg.png)
By substituting the given values, we get
![\text { Simple interest }=\frac{152 * 2.5 * 18 \mathrm{months}}{100}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/id9tgd4y5kqc9cpkc4mea7iz1q9ik1pnig.png)
By converting 18 months to years we get,
![\begin{array}{l}{=(152 * 2.5 * (18)/(12))/(100)} \\\\ {=(152 * 2.5 * (3)/(2))/(100)} \\\\ {=(152 * (3)/(2))/(40)} \\\\ {=(76 * 3)/(40)=(19 * 3)/(10)} \\\\ {=(57)/(10)=5.7}\end{array}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/nkzsrn5x319856tfaxgs5a4iogivcohudr.png)
Hence, the simple interest is $5.7