Principal Amount = P = $5000
Interest rate = r = 0.45% = 0.0045
Time in years = t
Compounding periods per year = n = 4
The formula for compound interest is:
![A=P(1+ (r)/(n))^(n*t)](https://img.qammunity.org/2019/formulas/mathematics/high-school/yvkfssy0rg9ez92rnw4qk5gr5bmaoh99vq.png)
Using the given values, we get:
![A=5000(1+ (0.0045)/(4) )^(4*t) \\ \\ A=5000(1.001125)^(4t)](https://img.qammunity.org/2019/formulas/mathematics/high-school/iybnk4mkpoyobu5bhkcvw93fpk9nqn0r7z.png)
So, comparing the above equation to given equation we can write:
a = 5000b = 1.00113 (Rounded to nearest hundredth-thousandthc = 4t