Fish population growth question: Can someone check my work and answers? I'm reviewing for a math test this Tuesday and just want to make sure I'm doing things right. If someone could check my work that would be great.

Here's the question (work below):



Here's my work: 

Thank you in advance!
You only know that the growth rate is $1.2\%$, this is not equal to the exponential constant $r$. To find $r$ do the following:

After one year you know that there must be $n_0 \cdot 1.012$  fish, this has to be equal to $n_0 e^{r}$, thus $r = log(1.012)$

and you get: $n(t) = n_0 e^{log(1.012) t} = 13 \cdot e^{log(1.012) t}$
Your answers are correct but your sketch is not. Because the population is growing exponentially then the derivative of the function will be positive (ie the line will curve upwards.) If you think about it the larger the population is the larger it will grow. Also I might add that the growth rate is 1.021 not 1.21. Apart from that its all good!