Given expression:
[tex]p(1\text{ + }\frac{r}{k})^{kn}[/tex]
We have :
p = 8000
r = 9%
k = 4
n = 16
Substituting into the given expression:
[tex]=\text{ 8000}\times\text{ (1 + }\frac{0.09}{4})^{4\times16}[/tex]
Evaluating:
[tex]\begin{gathered} =\text{ 8000 }\times(1+0.0225)^{64} \\ =\text{ 8000 }\times(1.0225)^{64} \\ =\text{ 33230.91155} \\ \approx\text{ 33230.91} \end{gathered}[/tex]
Answer: 33230.91
