[tex]A=P(1+r)^t[/tex]
where A=final amount
P=principal
r=rate in decimal form
t=time in years
we are given that P=500, r=12%=0.12
we want to find A when t=10, 20, and 30
so
[tex]A=500(1+0.12)^t[/tex]
[tex]A=500(1.12)^t[/tex]
when t=10, [tex]A=500(1.12)^{10}=$1552.92[/tex]
when t=20, [tex]A=500(1.12)^{20}=$4823.15[/tex]
when t=30, [tex]A=500(1.12)^{30}=$14980.96[/tex]
