Answer:
The shrinkage as a percentage of sales is 1.6%.
Step-by-step explanation:
In order to find the percentage of the sales that can be contributed to shrinkage, we first need to find the amount of shrinkage between the book value ($907,340) and the physical inventory ($875,435). The difference between these two values is $31,905. With this value of shrinkage, I then divide by the total amount in sales, which is $1,988,345. This would give me an overall percentage of 1.6%, which represents the shrinkage as a percentage of sales.
(x , y) = (-4 , 6) There you go
Most quadratic functions(which is what you have there, to a degree of 2) are solved using factoring and the zero product law. If you can not factor then you have to use the quadratic formula or graph it. However this one can be factored.
It's pretty simple to just factor it by inspection but I use the chart method, if you know decomposition that works as well.
Factoring gives us,
Then you set each factor to 0 and solve for x,
And the second one,
The solutions to this equation are
x = -1/2, 3
The height (h) of the rectangular prism is: 1.9 feet.
<h3>How to Find the Volume of a Rectangular Prism?</h3>
A rectangular prism has a length (l), height (h), and a width (w). The volume of the rectangular prism is calculated using the formula given as: V = (length)(width)(height).
Given the following parameters:
Volume of the rectangular prism = 30.45 ft^3,
Length (l) = 6.3 ft,
Width (w) = 2.5 ft.
Height of the rectangular prism (h) = ?
Plug in the values
(6.3)(2.5)(h) = 30.45
15.75h = 30.45
15.75h/15.75 = 30.45/15.75
h ≈ 1.9 ft
Learn more about volume of rectangular prism on:
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STEP 1- since 6 doesn't contain the variable to solve for move it to the right side of the equation by subtracting 6 from both sides
X^2-8X=-6
STEP 2- create a trinomial square on the left side of the equation find the value that is equal to the square of half of b the coefficient of x
(b/2)^2 =(-4)^2
STEP 3- add the term to each side of the equation
x^2-8x+(-4)^2=-6=(-4)
STEP 4- simplify the equation
x^2-8x+16=10
STEP 5- factor the perfect trinomial square into (x-4)^2
(x-4)^2=10
STEP 6-solve the equation for x
x=4= square root of 10
