Given:
The initial money = $3000
Rate = 4.7% = 0.047
Frederick doesn't want to pay more than $423 in interest.
So, we need to find the number of years
Assume simple interest rate:
[tex]\begin{gathered} I=P\cdot r\cdot t \\ I=423 \\ P=3000 \\ r=0.047 \\ \\ 423=3000\cdot0.047\cdot t \\ 423=141\cdot t \\ \\ t=\frac{423}{141}=3 \end{gathered}[/tex]so, the number of years = 3 years