Yasemin deposited
$
1000
$1000dollar sign, 1000 into a savings account.
The relationship between the time,
t
tt, in years, since the account was first opened, and Yasemin's account balance,
B
(
t
)
B(t)B, left parenthesis, t, right parenthesis, in dollars, is modeled by the following function.
B
(
t
)
=
1000
⋅
e
0.03
t
B(t)=1000⋅e
0.03t
B, left parenthesis, t, right parenthesis, equals, 1000, dot, e, start superscript, 0, point, 03, t, end superscript
How many years will it take for Yasemin's account balance to reach
$
1500
$1500dollar sign, 1500?
Round your answer, if necessary, to the nearest hundredth.

years