Answer: 20%.
Step-by-step explanation:
Given, The price of a shirt is marked down from $12.50 to $10.00.
Previous price = $12.50
New price = $10.00
Change in price = Previous price - New price
= $12.50 - $10.00
= $2.50
Now, the percent decrease of the shirt =
Hence, the percent decrease of the shirt = 20%.
a. <-13/2,-13/2>
<h2>Step-by-step explanation:</h2>The projection of a vector u onto another vector v is given by;
=
----------------(i)
Where;
u.v is the dot product of vectors u and v
|v| is the magnitude of vector v
Given:
u = <-6, -7>
v = <1, 1>
These can be re-written in unit vector notation as;
u = -6i -7j
v = i + j
<em>Now;</em>
<em>Let's find the following</em>
(i) u . v
u . v = (-6i - 7j) . (i + j)
u . v = (-6i) (1i) + (-7j)(1j) [Remember that, i.i = j.j = 1]
u . v = -6 -7 = -13
(ii) |v|
|v| =
|v| =
<em>Substitute these values into equation (i) as follows;</em>
=
=
This can be re-written as;
=
=
Answer:
The graph is attached below.
Step-by-step explanation:
The volume of the box containing the coffee mugs is,
Then the function representing the side length, in inches, for the box is:
Now, it is provided that the company decides to double the volume of the box.
That is, the new volume will be:
Then the side length, in inches, for the box will be:
Then the graph representing the function, formed using the following points is:
