Answer:
[tex]t+0.07t=t(1+0.07)=t(1.07)=1.07t[/tex]
Step-by-step explanation:
There are a couple of  equivalent expressions to the function [tex]t+0.07t[/tex]. For example:
[tex]t+0.07t[/tex]
Factor:
[tex]t+0.07t=t(1+0.07)[/tex]
If you add the terms inside the parentheses:
[tex]t(1+0.07)=t(1.07)[/tex]
Basically you can add the like terms from the start and get the same result.
[tex]t+0.07t=1.07t[/tex]
Therefore:
[tex]t+0.07t=t(1+0.07)=t(1.07)=1.07t[/tex]