1/4 revolution per foot, not sure about slope. Hope this helps
Given that question: Shyam invested money in the stock market. In the first
year, his stock increased 20%. He paid his stock broker $300 and then lost
$450. He withdrew $500, and then his remaining investment doubled. Shyam’s investment is now worth $7100. How much was Shyam’s original investment?
The solution is as follows:
Let the amount Shyam invested in the stock market be x, then in the first year his stock increased by 20% giving 1.2x.
He paid his stockbrocker $300 to have 1.2x - $300 left, and he lost $450 to have 1.2x - $300 - $450 = 1.2x - $750 left.
He withdrew $500 to have 1.2x - $750 - $500 = 1.2x - $1,250 left.
His remaining investment doubled to have 2(1.2x - $1,250) = 2.4x - $2,500
Shyam's investment is now worth $7,100 which means that
2.4x - $2,500 = $7,100
2.4x = $7,100 + $2,500 = $9,600
x = $9,600 / 2.4 = $4,000
Therefore, the value of Shyam's original investment is $4,000
Answer:
dV ≈ 927.4 cm³
Step-by-step explanation:
Formula for volume of a cylinder is;
V = πr²h
Using differentials, we have;
dV = (dV/dr)dr + (dV/dh)dh
Now, dV/dr = 2πrh
dV/dh = πr²
Thus, at r = 24/2 = 12 cm
And at h = 60 cm, we have;
dV/dr = 2π(12 × 60)
dV/dr = 4523.89 cm²
Also;
dV/dh = π(12)²
dV/dh = 452.39 cm²
the metal in the top and bottom is 0.1 cm thick. Thus, dr = 2 × 0.1 = 0.2
the metal in the sides is 0.05 cm thick. Thus; dh = 0.05
Thus;
dV = (4523.89 × 0.2) + (452.39 × 0.05)
dV ≈ 927.4 cm³
Answer:
y = 6x + 22
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope Formula:
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-3, 14)
Point (-1, 16)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract/Add:
- Divide:
<u>Step 3: Find y-intercept </u><em><u>b</u></em>
- Define: y = 6x + b
- Substitute: 16 = 6(-1) + b
- Multiply: 16 = -6 + b
- Isolate <em>b</em>: 22 = b
- Rewrite: b = 22
<u>Step 4: Write linear equation</u>
y = 6x + 22