Answer:

Step-by-step explanation:
The growth of the population can be modeled by the following differential equation:

Where r is the growth rate, P is the population, and t is the time measures in months.
I am going to solve the above differential equation with the separation of variables method.

Integrating both sides:

Where P(0) is the initial condition
We need to isolate P in this equation, so we do this

So

The problem states that P(0)=3000, so:

The problem wants us to find the value of r:
It states that the population doubles in size from 3000 to 6000 in a 6- month period, meaning that P(6) = 6000. So


To isolate 6r, we apply ln to both sides.



r = 0.1155
The particular solution to the differential equation with the initial condition P(0)=3000 is:

1) 4x + 5
2) 14w2 - 4w
3) -x + 19
4) 19x - 16
5) -x2 - x
6) 11a2b - 12ab2
The sum of all three angles in any triangle is always 180 degrees. So in obtuse triangle there is only one obtuse angle (more than 90 degrees). If we have for example an obtuse angle of 91 degrees, then two other angles have to fit in 89 degrees which makes it impossible for any of them to be obtuse.
Answer:
C.15
Step-by-step explanation:
one box has 5 chocolates so 3*5=15
Answer:
c) 72
Step-by-step explanation:
multiply 18 by 4