Answer:
The solution is
.
Step-by-step explanation:
We have the Gompertz's differential equation
.
Notice that this a separable equation. So,
.
Now, integrating in both sides:
.
Recall that
.
Thus,
,
and taking exponential:
.
Taking another exponential
.
Now, let us substitute the given values for c and K:
.
To find the value of the constant A'' we use the initial condition:
.
Then,
.
Hence, the solution is

So what you do is add 30 to 100 and then take away 10 leaving you with 120. You then multiply by 10 giving you 1,200 dollars a month. Wish I was making that much money a month :)
Yes, there was a mistake in applying the distributive property. If you have to perform

you have to multiply both terms in the parenthesis by 3, not just the first one.
So, the correct expansion would be

Its an absurd decimal, which I'm pretty sure you don't want but will give to you anyway. Its roughly 0.02631578947...