Answer: 10 years
Step-by-step explanation:
We know that the total amount in an account eating simple interest after t years is given by :-
[tex]A=P+Prt[/tex], where P is the principal amount , t is the time and r is the rate of interest.
Given : P= $3000 , A = $4500 and r=0.05
Then , put all these values in the above formula we get
[tex]4500=3000+3000(0.05)t\\\\\Rightarrow\ 4500-3000=150t\\\\\Righhtarrow\ t=\dfrac{1500}{150}=10[/tex]
Hence, it will take 10 years for the total amount in her account to reach $4500.
