Frank's earning = $44,900
Salary raise = 5% of $44,900
Frank's new salary would be the sum of his earning and salary raise which is 5% of his earning
[tex]\begin{gathered} \text{ \$44,900 + 5\% }\times44,900 \\ \text{\$44,900 + 0.05}\times44,900 \\ \text{\$44,900 + \$2245} \\ =\text{\$}47,145 \end{gathered}[/tex]Therefore, Frank's new salary is $47,145