Answer
$ a.\quad {{\$}} 9479.19$
$ b.\quad {{\$}} 9527.79$
$ c.\quad {{\$}} 9560.92$
$ d.\quad {{\$}} 9577.70$
Work Step by Step
$ a.$
$ t=5,\quad r=0.065,\quad n=2$
$ A=5000(1+\displaystyle \frac{0.065}{2})^{2(10)}= {{\$}} 9479.19$
$ b.$
$ t=5,\quad r=0.065,\quad n=4$
$ A=5000(1+\displaystyle \frac{0.065}{4})^{4\cdot 10}={{\$}} 9527.79$
$ c.$
$ t=5,\quad r=0.065,\quad n=12$
$ A=5000(1+\displaystyle \frac{0.065}{12})^{12(10)}={{\$}} 9560.92$
$ d.$
Continuous, $ t=5,\quad r=0.065,$
$ A=5000(e)^{0.065(10)}={{\$}} 9577.70$
