Answer
$a.\qquad {{\$}} 30,000$
$b.\qquad{{\$}} 31,570.38$
$c.\qquad{{\$}} 30,017.65$
Work Step by Step
$a.$
Simple interest, t=5, r=0.06:
$I=Prt =100,000\cdot 0.06\cdot 5={{\$}} 30,000$
$b.$
r=0.055, n=12 (monthly), t=5:
$A=P\displaystyle \cdot(1+\frac{r}{n})^{nt}=100,000(1+\frac{0.055}{12})^{12\cdot 5}\approx 131,570.38$
$I=A-P={{\$}} 31,570.38$
$c.$
Continuous compounding, r=0.0525, t=5
$A=100,000e^{(0.0525)(5)}\approx{{\$}} 130,017.65$
$I=A-P={{\$}} 30,017.65$
$a.\qquad {{\$}} 30,000$
$b.\qquad{{\$}} 31,570.38$
$c.\qquad{{\$}} 30,017.65$
