New annual renter's insurance premium = 325(1 + 0.18) = 325 x 1.18 = $383.50
Answer:
d.
Step-by-step explanation:
First, you want to add together the amount of money she spent on purses ($24), and then consider the amount of scarves (5+n). To solve, you would subtract 24 from 39, and then divide that answer by 5
Answer:
m = 10
Step-by-step explanation:
Find 'n' first..... then pythag theorem for 'm'....
n is to 5 as 15 is to n
n/5 = 15/n
n^2 = 75 n = sqrt (75)
Then m^2 = n^2 + 5^2
m^2 = 75 + 25 s-o-o-o-o: m = 10
If 2160= 2^a3^b5^c the solution set of a,b,c is<br>{4,3,0}<br>{1,0,3}<br>{4,3,1}<br>{2,3,4}
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Answer:
4,3,1
Step-by-step explanation:
2^a3^b5^c=2160
2^a3^b5^c=2^4 3^3 5^1
a=4,b=3 and c=1
Answer:
a) dx/dt = kx*(M - h/k - x)
Step-by-step explanation:
Given:
- The harvest differential Equation is:
dx/dt = kx*(M-x)
Suppose that we modify our harvesting. That is we will only harvest an amount proportional to current population.In other words we harvest hx per unit of time for some h > 0
Find:
a) Construct the differential equation.
b) Show that if kM > h, then the equation is still logistic.
c) What happens when kM < h?
Solution:
- The logistic equation with harvesting that is proportional to population is:
dx/dt = kx*(M-x) hx
It can be simplified to:
dx/dt = kx*(M - h/k - x)
- If kM > h, then we can introduce M_n=M -h/k >0, so that:
dx/dt = kx*(M_n - x)
Hence, This equation is logistic because M_n >0
- If kM < h, then M_n <0. There are two critical points x= 0 and x = M_n < 0. Since, kx*(M_n - x) < 0 for all x<0 then the population will tend to zero for all initial conditions
