Answer
(a) $16081.15$ dollars
(b) $16178.18$ dollars
(c) $16197.64$ dollars
(d) $16198.31$ dollars
Work Step by Step
(a) Given $P=12000, r=0.1 t=3,n=2$, use the corresponding formula, we have
$A(3)=12000(1+\frac{0.1}{2})^{2\times3}\approx16081.15$ dollars
(b) In this case, $n=12$, we have $A(3)=12000(1+\frac{0.1}{12})^{12\times3}\approx16178.18$ dollars
(c) Use $n=365$, we have $A(3)=12000(1+\frac{0.1}{365})^{365\times3}\approx16197.64$ dollars
(d) Use the formula for continuously compounding, we have $A(3)=12000e^{0.1\times3}\approx16198.31$ dollars