Answer
$ a.\quad {{\$}} 13,116.51$
$ b.\quad {{\$}} 13,140.67$
$ c.\quad {{\$}} 13, 157.04$
$ d.\quad {{\$}} 13, 165.31$
Work Step by Step
$ a.$
$ t=5,\quad r=0.055,\quad n=2$
$ A=10,000(1+\displaystyle \frac{0.055}{2})^{2(5)}={{\$}} 13,116.51$
$ b.$
$ t=5,\quad r=0.055,\quad n=4$
$ A=10,000(1+\displaystyle \frac{0.055}{4})^{4(5)}\approx{{\$}} 13,140.67$
$ c.$
$ t=5,\quad r=0.055,\quad n=$12
$ A=10,000(1+\displaystyle \frac{0.055}{12})^{12(5)}={{\$}} 13, 157.04$
$ d.$
Continuous, $ t=5,\quad r=0.055,$
$ A=10,000e^{0.055(5)}={{\$}} 13,165.31$
