Assuming that the population follows an exponential function, the it will take the form:
y=a(bˣ)
where:
a=initial value
b=growth factor
x=time
thus plugging our values in the equation we get:
y=40000(1.1ˣ)
thus the population in 2011 when t=3 will be:
y=40000(1.1³)
y=53240
Let x and y represent the two numbers that add up to 24.
x + y = 24
=> y = 24 - x
The product of the two numbers is P = x*y = x*(24 - x) = 24x - x^2.
To maximize the product P, solve P' = 0 for x.
P' = 24 - 2x
24 - 2x = 0
=> x = 12
Also P'' = -2 which is negative
for x = 12
The product when x = 12 is 12*12 = 144
hope it helps!
Answer: 1.5, -0.5
Step-by-step explanation:
4x2 + 4x -3 = 0
4x2 + 4x = 3
x2 + x = 3/4
<span>×^2+5×-24=0
(x+8)(x-3) = 0
x+8 = 0, x = -8
x - 3 = 0, x = 3
answer: </span>x = -8 and x =3
