The amount of money,
a
(
t
)
a(t)
in a savings account that pays 3% interest, compounded quarterly for
t
t
yesrs, when an initial investment of $2000 is made, is given by
a
(
t
)
=
2000
(
1.0075
)
4
t
a(t)=2000(1.0075)4t
.