Answer:
Short term Capital gain and $1200
Step-by-step explanation:
Any investment held under a year falls under short term capital gain
5,000 X 0.24 = 1,200
Answer:
(0,5)
Step-by-step explanation:
If you plug in 0 in all the variables of x, f(x)=0+0+5
We know that f(x) is y...so y=5, while x=0
Answer:
<h2><em><u>x = -17.5</u></em></h2>
Explanation:
-8x = 140
-8x / -8 = 140 / -8
x = ⁻³⁵⁄₂
x = -17.5
Answer:
h(x) = x/2 + 5
Step-by-step explanation:
f(x) = 2x - 10
Step 1. Replace f(x) with y.
y = 2x - 10
Step 2. Switch variables x and y.
x = 2y - 10
Step 3. Solve for y.
2y - 10 = x
2y = x + 10
y = x/2 + 5
Step 4. Replace y with h(x)
h(x) = x/2 + 5
Answer:
The angle the wire now subtends at the center of the new circle is approximately 145.7°
Step-by-step explanation:
The radius of the arc formed by the piece of wire = 15 cm
The angle subtended at the center of the circle by the arc, θ = 68°
The radius of the circle to which the piece of wire is reshaped to = 7 cm
Let 'L' represent the length of the wire
By proportionality, we have;
L = (θ/360) × 2 × π × r
L = (68/360) × 2 × π × 15 cm = π × 17/3 = (17/3)·π cm
Similarly, when the wire is reshaped to form an arc of the circle with a radius of 7 cm, we have;
L = (θ₂/360) × 2 × π × r₂
∴ θ₂ = L × 360/(2 × π × r₂)
Where;
θ₂ = The angle the wire now subtends at the center of the new circle with radius r₂ = 7 cm
π = 22/7
Which gives;
θ₂ = (17/3 cm) × (22/7) × 360/(2 × (22/7) × 7 cm) ≈ 145.7°.