Answer: x ≥ 3.2 OR x ≤ -0.75
Here's how to solve the compound inequality step-by-step: start by separating it into two inequalities. For the first one, 5x - 4 ≥ 12, add 4 to both sides to remove the constant, leaving 5x ≥ 16. Then divide both sides by 5 to isolate x, resulting in x ≥ 3.2.
Now for the second part, 12x + 5 ≤ -4, subtract 5 from both sides to obtain 12x ≤ -9. Dividing both sides by 12 gives x ≤ -9/12, which simplifies to x ≤ -0.75. So, combining both, the solution is x ≥ 3.2 OR x ≤ -0.75.
Answer:
They anticipate the following ratio:
x/20 = 160/8, where x represents the population
Next
x = 20×160/8 = 400
Answer:
I've got no idea; I just forgot the answer, but I did my best.
Step-by-step explanation:
Response:
$144,843.5
Detailed explanation:
In this scenario, we will utilize the compound interest formula
A= P(1+r)^t
A = final amount
P = initial principal
r = interest rate
t = number of periods
Given parameters
P= $27,000
R= 7.25%= 7.25/100= 0.0725
T= 24
A=27000(1+0.0725)^24
A= 27000(1.0725)^24
A= 27000*5.364
A= $144,843.5
By the end of 24 years, her account balance will reach $144,843.5
Define the unit vectors along the x and y axes as
correspondingly.
Consequently, the vector from P to Q is
In terms of components, vector PQ is represented as (-8,5).
The magnitude of vector PQ can be calculated as
√[(-8)² + 5²] = √(89) = 9.434
Answer:
Thus, vector PQ is (-8, 5), and its magnitude equals √89 (or 9.434).
