Answer
1% -> 5255.05 dollars
2% -> 5520.40 dollars
3% -> 5796.37 dollars
4% -> 6083.26 dollars
5% -> 6381.41 dollars
6% -> 6691.13 dollars
Work Step by Step
First one has to find the function that models the example. This uses an exponential function and its base is $n\cdot r^t$ where $n$ is the initial value, $r$ is the growth rate, and $t$ is the time in years passed. There is an initial investment of \$5000 dollars, so that corresponds to $n$. The investment asked to calculate is after 5 years, so it corresponds to $t$. Now the function can be described:
$f(r)=5000\cdot r^5$
Now one only needs to calculate $f(1.01)$, $f(1.02)$, $f(1.03)$, $f(1.04)$, $f(1.05)$, and $f(1.06)$ which corresponds to the investment for 101%, 102%, 103%, 104%, 105%, and 106% growth rate, respectively.