Answer:
The correct option is (A) $304.47.
Explanation:
The formula to compute the future value (FV) of an amount (A), compounded daily at an interest rate of r%, for a period of n years is:
![FV=A* [1+(r\%)/(365)]^(n* 365)](https://img.qammunity.org/2021/formulas/mathematics/college/4vr634qwa1bss552mmf7tt0i0mo9otwj23.png)
The information provided is:
A = $300
r% = 1.48%
n = 1 year
Compute the future value as follows:
![FV=A* [1+(r\%)/(365)]^(n* 365)](https://img.qammunity.org/2021/formulas/mathematics/college/4vr634qwa1bss552mmf7tt0i0mo9otwj23.png)
![=300* [1+(0.0148)/(365)]^(365)\\\\=300* (1.00004055)^(365)\\\\=300* 1.014911\\\\=304.4733\\\\\approx \$304.47](https://img.qammunity.org/2021/formulas/mathematics/college/mkovlndr1o5d07ktpcafpga7axk851q3ps.png)
Thus, the balance after 1 year is $304.47.
The correct option is (A).