Answer:
$1500
Step-by-step explanation:
It is given that
Rent = $100
Groceries and drinks = $1000
Insurance premiums = $10
Loan interest payment =$30
Clothes = $200
Utilities = $300
Home security fee = $200
Fixed cost are costs that does not vary and variable cost are costs that vary with goods and services.
In the given problem, rent , insurance premiums, loans interest payment ad home security fee are fixed cost.
Groceries and drinks, clothes and utilities are variable cost.
So, total variable cost for last month is
Therefore, total variable cost for last month is $1500.
Answer:
See explanation
Step-by-step explanation:
You are given the equation of the curve
Point 
lies on the curve.
Point 
is an arbitrary point on the curve.
The slope of the secant line PQ is
![\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]](https://tex.z-dn.net/?f=%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cdfrac%7B%5Cfrac%7Bx%7D%7B1%2Bx%7D-%5Cfrac%7B1%7D%7B2%7D%7D%7Bx-1%7D%3D%5Cdfrac%7B%5Cfrac%7B2x-%281%2Bx%29%7D%7B2%28x%2B1%29%7D%7D%7Bx-1%7D%3D%5Cdfrac%7B%5Cfrac%7B2x-1-x%7D%7B2%28x%2B1%29%7D%7D%7Bx-1%7D%3D%5C%5C%20%5C%5C%3D%5Cdfrac%7B%5Cfrac%7Bx-1%7D%7B2%28x%2B1%29%7D%7D%7Bx-1%7D%3D%5Cdfrac%7Bx-1%7D%7B2%28x%2B1%29%7D%5Ccdot%20%5Cdfrac%7B1%7D%7Bx-1%7D%3D%5Cdfrac%7B1%7D%7B2%28x%2B1%29%7D%5C%20%5B%5Ctext%7BWhen%7D%5C%20x%5Cneq%201%5D)
1. If x=0.5, then the slope is
2. If x=0.9, then the slope is
3. If x=0.99, then the slope is
4. If x=0.999, then the slope is
5. If x=1.5, then the slope is
6. If x=1.1, then the slope is
7. If x=1.01, then the slope is
8. If x=1.001, then the slope is
<h3>1.</h3>
The equation in point-slope form: y - y₁ = m(x - x₁)
slope: m = -2
point: (4, -5) ⇒ x₁ = 4, y₁ = -5
Therefore, the equation of the line in point-slope form:
<h3>
y + 5 = -2(x - 4)</h3>
<h3>2.</h3>
The equation in slope-intercept form: y = mx + b
Parallel lines has the same slope, so:
y = 4x + 2 ⇒ a = 4
If a line passes through the point <em>(x₁, y₁) </em>then the equation y<em>₁</em> = mx<em>₁</em> + b is true.
(4, 6) ⇒ x₁ = 4, y₁ = 6
So: 6 = 4·4 + b ⇒ b = -10
Therefore the equation:
<h3>
y = 4x - 10</h3>
<h3>3.</h3>
a = 3
(-1, 1) ⇒ x₁ = -1, y₁ = 1
So: 1 = 3·(-1) + b ⇒ b = 4
The equation:
<h3>
y = 3x + 4</h3>
<h3>4. </h3>
The product of slopes of perpendicular lines is -1.
2x - 7y = 1 ⇒ 7y = -2x + 1 ⇒ y = -²/₇x + ¹/₇
-²/₇×m = -1 ⇒ m = ⁷/₂
(0, -4) ⇒ x₁ = 0, y₁ = -4
-4 = ⁷/₂·0 + b ⇒ b = -4
The equation:
<h3>
y = ⁷/₂x - 4</h3>
X/yz is the answer I believe
