The total amount in Dana's account will consist of her $3,000 investment plus $1,500 in interest earned. The formula for simple interest is
I = Prt
Substituting given values, we have
1500 = 3000×0.05×t = 150t
1500/150 = t = 10
It will take 10 years for the total amount in Dana's account to reach $4,500.