Answer:
Population in 2100 is 17.99 billion.
Step-by-step explanation:
The population of the world in 2020 = 7.8 billion.
The growth rate = 1.05%
Now find the population after 2100. Use the below formula to find the population.
Population in 2100 = Population of 2020 (1 + growth rate)^n
Population in 2100 = 7.8 (1 + 0.0105)^80
Population in 2100 = 17.99 billions.
Now, find the growth rate in 2100.
dN/dt = [r N (K – N) ] / K
r = Malthusian parameter
K = carrying capacity.
Now divide both sides by K, now x = N/K then do the differential equation.
dx/dt = r x ( 1- x)
Now integrate, x(t) = 1/ [ 1 + (1/x – 1) c^-rt
From the first equation = dN/dt = (13 – 7.8) / 80 = (r × 7.8×(13 – 7.8) / 12
0.065 = (r × 7.8× 5.2) / 12
0.065 = r × 3.38
r = 1.92%
Answer:
-4
Step-by-step explanation:
let n be least.
3n-12=4(n+n+2)
3n-12=8n+8
3n-8n=8+12
-5 n=20
n=-4
Answer:
We know that that x represents (1)
2/5 is the answer because if you add, multiply them together you will get 2/5=40/100%
Hope this helps
Mark As Brainllest
9514 1404 393
Answer:
$1571
Step-by-step explanation:
If we assume that y is profit in dollars, the maximum value of y is revealed by a graph to be ...
ymax = $1571
The maximum profit the company can make is $1571 at a selling price of $45 each.
_____
The function can be written in vertex form as ...
y = -(x^2 -90x) -454
y = -(x^2 -90x +45^2) -454 +45^2
y = -(x -45)^2 +1571
Because the leading coefficient is negative, we know this vertex represents a maximum. (x, y) = (45, 1571) at the vertex. Maximum profit is $1571.
Answer:
angle x equals 25
Step-by-step explanation:
130 + 25 = 155
180 - 155 = 25
Triangles always add up to 180°
