Answer:
r = 5.83%
Step-by-step explanation:
Recall that the expression for exponential increase is:
[tex]N=N_0\,\,e^{r*t}[/tex]
where we can replace No with 550, N with 736 when t= 5
and then use natural logs to solve for "r" in the exponent:
[tex]736=550\,\,e^{r*5}\\\frac{736}{550} =e^{r*5}\\ln(\frac{736}{550})=r*5\\r=ln(\frac{736}{550})/5\\r\approx 0.058262[/tex]
which in percent form can be written as r = 5.83%