Answer:

Step-by-step explanation:
We have the compound inequality:

Let's solve each of them individually first:
We have:

Divide both sides by 2:

Add 1 to both sides:

We have:

Subtract from both sides:

Divide both sides by -4:

Hence, our solution set is:

Answer:
Given Rate of interest is r=8%=0.08
Principal Amount is A=5,000
Time is t years
Interest is compounded yearly twice ⟹n=2
Amount =P(1+
n
r
)
nt
=5000×(1+
2
0.08
)
2t
=5,408
(1.0816)
t
=
5000
5408
⟹t=1
Hey there!
The correct answer to your question is a circle.
A circle doesn't have any congruent sides or congruent angles, meaning they don't have sides or angles that point in the same direction.
Hope this helps you.
Have a great day!
Answer:
Equation of the straight line passing through the point ( 1,2 ) and having the slope
x - √3y -1+2√3 =0
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the point (1,2) and an angle = ∝ = 30°
The slope of the line
m = tan 30°

<u><em>Step(ii)</em></u>:-
Equation of the straight line passing through the point ( 1,2 ) and having the slope

y - y₁ = m(x-x₁)
y - 2 =
( x -1)
√3(y-2) = (x-1)
⇒ √3y - 2√3 = x -1
x - √3y -1+2√3 =0
Answer:
30 ft
Step-by-step explanation:
a² + b² = c²
(15sqrt(2))² + (15sqrt(2))² = c²
225 * 2 + 225 * 2 = c²
c² = 900
c = sqrt(900)
c = 30
Answer: 30 ft