ANSWER:
The simple interest is $23.01 approximately.
SOLUTION:
Given, p= $544, r=0.047% per day, t= 3 months
we need to find the simple interest on $544 at 0.047% per day for 3 months.
We know that,
![Simple Interest $=\left((p * r * t)/(100)\right)$](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6nulu0q9plhy6snbbpmiev9x4kuqpvz808.png)
where, p = principal amount
r = rate of interest
t = number of years
Here, rate and time period are in days and months respectively. But we need to convert both of them into years.
R = 0.047%
360 [since we have to assume there are 360 days in a year]
R = 16.92%
Now t = 3 months
![=3 * (1)/(12)$ years$=(1)/(4)$ years](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kmrhmp5g0nhmk3752mgvjg922n13uo3nqe.png)
Now, S.I =
![$\left((544 * 16.92 * (1)/(4))/(100)\right)$](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hlkgqw0qeovimvfliot22coqri9twiinx5.png)
![=\left((544 * 4.23)/(100)\right)$$=\left((2301.12)/(100)\right)$$=23.0112$](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8uvpdh6znpqak68s060fm9pxrpz23dxfmd.png)
Hence, the simple interest is $23.01 approximately.