Given:
Area = 150 square feet
Bases = 14 feet and 16 feet
Find the height of the trapezoid.
Let us use the formula of finding the Area of a trapezoid to get the value of its height.
A = (a+b)/2 * h
150 ft² = (14ft + 16ft)/2 * h
150 ft² = 15ft * h
150 ft² / 15 ft = h
10 ft = h
The height of the trapezoid is 10 feet.
Answer:
The answer is C.
Step-by-step explanation:
In order to find x, you have to multiply both sides by 40 :
Suppose that your start a business manufacturing and selling luxury bean bag chairs. It will cost $4000 to get your business started. You also calculate that each luxury bean bag chair will cost you $50 to produce
1. write an equation for the total cost to manufacture n luxury bean bag chairs.
you decide to sell the luxury bean bag chairs for 62.50 each (revenue is the total money coming in from sales.)
2. write an equation for the total revenue made from selling n luxury bean bag chairs.
3. solve the system of equations algebraically
Answer:
Step-by-step explanation:
From the given question;
1.
Let assume that c1 to be the cost and n to be the number of bean bags produced.
amount used to start the business = $4000
thus;
The equation for the total cost to manufacture n luxury bean bag chairs is:
c₁ = 50 n + 4000
2.
Let c₂ be the total revenue made from selling ; then since 62.50 revenue is generated from each bag n sold
therefore ;
c₂ = 62.50 n
3.
c₁ = c₂
50 n + 4000 = 62.50 n
4000 = 62.50 n - 50 n
4000 = 12.50 n
n = 4000/12.50
n = 320
We can infer that in order to start making profit from the amount used tot start the business, you must have sold 320 bean bags.
Answer:
-4
Step-by-step explanation:
The slope of a function f(x) passing through two points of coordinates 
and 
is given by
Therefore, in order to find the slope of the function h(x) of this problem, we have to find the coordinates of 2 points.
We know that h(x) has an x-intercept of 2: the x-intercept is the point where the function crosses the x-axis, so the coordinates of this point are
Because at x = 2, the value of y is zero.
We also know that h(x) has an y-intercept of 8: the y-intercept is the point where the function crosses the y-axis, so the coordinates of this point are
Because at x = 0, the value of y is 8.
Therefore, we can now use these 2 points to calculate the slope of the function:
1700 that is due in 14 days with a fee of 100$ because it’s a shorter time period
