Question 123659
a.) P=$2000, r=8%(8/100=0.08), n=1, t=5
{{{A=P(1+r/n)^(nt)}}}
{{{A=2000(1+.08/1)^(1(5))}}}
{{{A=2000(1.08)^(5)}}}
{{{A=2000(1.469328)}}}
{{{highlight(A=2938.66)}}}
$2938.66
b.) P=$2000, r=8%(8/100=0.08), n=4, t=5
{{{A=P(1+r/n)^(nt)}}}
{{{A=2000(1+.08/4)^(4(5))}}}
{{{A=2000(1.02)^(20)}}}
{{{A=2000(1.485947)}}}
{{{highlight(A=2971.89)}}}
$2971.89
c.) P=$2000, r=8%, t=5
{{{A=Pe^(rt)}}}
{{{A=2000*e^(0.08*5)}}}
{{{A=2000*e^(0.4)}}}
{{{A=2000(1.02)^(20)}}}
{{{A=2000(1.491825)}}}
{{{highlight(A=2983.65)}}}
$2983.65
d.) P=$2000, r=8%
{{{A=Pe^(rt)}}}
{{{4000=2000*e^(0.08*t)}}}
{{{2=e^(0.08t)}}}
{{{0.693147=0.08t)}}}
{{{t=0.693147/0.08}}}
{{{highlight(t=8.66)}}}
8.66 years