The midpoint is
(-4+0) / 2, (7 + (-3))/ 2 The first one is x coordinate and 2nd is the y cood)
= (-2, 2) answer
The answer would be 400,000.
Answer:
$180 - (15% * $180) = $153
Step-by-step explanation:
Answer:
the intrinsic growth rate of the population = 0.67 - 0.06 = 0.61 or 61%
Step-by-step explanation:
since populations increase exponentially, the same will happen here
in 5 years the population should be:
P₅ = P₀e°⁶¹ˣ⁵ = 140e°⁶¹ˣ⁵ = 2,956.15 ≈ 2,956
in 10 years the population will be:
P₁₀ = P₀e°⁶¹ˣ¹⁰ = 140e°⁶¹ˣ¹⁰ = 62,420.09 ≈ 62,420
when you are using exponential growth rates, we have to assume that r will always remain constant
Substitute the given point (3, -2) in each condition
(i) y < -3; y ≤ (2/3)x - 4
-2 < -3 → False
Therefore, it is not a solution.
[Since the values of x and y must satisfy both the conditions, if one of them does not satisfy the condition then it is not necessary to check the other one.]
(ii) y > -3; y ≥ 2/3x - 4
-2 > -3 → True
y ≥ 2/3x - 4
-2 ≥ -2 → True
Therefore, it is a solution.
(iii) y < -3; y ≥ 2/3x - 4
-2 < -3 → False
Therefore, it is not a solution.
(iv) y > -2; y ≤ 2/3x - 4
-2 > -2 → False
Therefore, it is not a solution.
Thereofore, the system of linear inequalities having the point (3, -2) in its solution set is y > -3; y ≥ 2/3x - 4. Hope it helps you.
