Answer:
Y = 3
Step-by-step explanation:
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:$5 dollars
Step-by-step explanation:
Answer:
$241,400
Step-by-step explanation:
House costs: $200,000
Percentage increase: 20.7%
This means that the cost of the house increased by that percentage from 2012 to 2013. Therefore the following,
200,000 x 20.7/100 = 41,400
So the value of the house increased by $41,400 in this year.
Now we add to evaluate the total price of the house in 2013.
200,000 + 41,400 = 241,400
House price: $241,400
Answer:
17.5
Step-by-step explanation:
Pythagorean Theorem is a^2 + b^2 =c^2
a= 9 , b= 15, c= x
9^2 + 15^2 = c^2
= c^2
c= 17.493 or 17.5 rounded to the nearest tenth