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:
Answer:
-10xsquared-x+38
Step-by-step explanation:
so,
general eqn of quadratic equation is,
axsquared+bx+c=y
where,
x and y are exchanged by coordinates given in qn
1,64a-8b+c=0
2,4a-2b+c=0
or c=2b-4a
60a-6b=0
3,36a-6b+c=8
32a-4b=8
Answer:
I believe it is jk the figure?
Answer:
50%
Step-by-step explanation:
So there are 90 2 digit numbers. There are 45 2 digit odd numbers.
The probability should be 50%
Answer:
Charlotte spent 
on furniture
Step-by-step explanation:
Given:
Charlotte spent 25% more on furniture than she will on flooring
To Find:
Amount spent on furniture = ?
Solution:
Let the amount spent on flooring be x
and the amount spent on furniture be y
25% more on furniture than she spent on flooring can be written as
=>25% of x
So the cost spent on furniture will be
=>y= cost spent on flooring + 25% of cost spent on flooring
=>y= x + 25% of x
=>y=
=> y=
