For ALL of these....use these formulas...
Finding Markup%Markup=Selling Price-Cost
Markup%=
![\frac{Markup}{Cost}*100](https://tex.z-dn.net/?f=%20%5Cfrac%7BMarkup%7D%7BCost%7D%2A100%20)
1.) Recliner Chair. Cost=$61 Sell Price=$75.99
Markup= $75.99-$61
M=$14.99
Markup%=
![\frac{14.99}{61} *100](https://tex.z-dn.net/?f=%20%5Cfrac%7B14.99%7D%7B61%7D%20%2A100)
Markup%=24.5% (Markup less than 25%)
2.) Basket Ball. Cost=$23.75 Selling Price=$29.95
Markup= $29.95-$23.75
M=$6.20
Markup%=
![\frac{6.20}{23.75} *100](https://tex.z-dn.net/?f=%20%5Cfrac%7B6.20%7D%7B23.75%7D%20%2A100)
Markup%=26.1 (Markup greater than 25%)
3.) Necklace. Cost=$15 Selling Price=$19.25
Markup= $19.25-$15
M=$4.25
Markup%=
![\frac{4.25}{15}*100](https://tex.z-dn.net/?f=%20%5Cfrac%7B4.25%7D%7B15%7D%2A100%20)
Markup%=28.3 (Markup greater than 25%)
4.)Notepad. Cost=$1.19 Selling Price=$1.50
Markup=$1.50-$1.19
M=$0.31
Markup%=
![\frac{0.31}{1.19}*100](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.31%7D%7B1.19%7D%2A100%20)
Markup%=26.1 (Markup greater than 25%)
5.)Speakers. Cost=$44.55 Selling Price=$54.99
Markup=$54.99-$44.55
M=$10.44
Markup%=
![\frac{10.44}{44.55} *100](https://tex.z-dn.net/?f=%20%5Cfrac%7B10.44%7D%7B44.55%7D%20%2A100)
Markup%=23.4 (Markup less than 25%)
6.) DVD. Cost=$10.80 Selling Price=$12.95
Markup=$12.95-$10.80
M=$2.15
Markup%=
![\frac{2.15}{10.80}*100](https://tex.z-dn.net/?f=%20%5Cfrac%7B2.15%7D%7B10.80%7D%2A100%20)
Markup%=19.9 (Markup less than 25%)
I hope this benefits other people in the future. :D
Neither
Explanation
![f(x)=x^5+2x^4+3x-14](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E5%2B2x%5E4%2B3x-14)
Even:To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even.
Step 1
a)evaluate for -x
so
f(-x)
![\begin{gathered} f(-x)=(-x)^5+2(-x)^4+3(-x)-14 \\ f(-x)=-x^5+2x^4-3x-14 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28-x%29%3D%28-x%29%5E5%2B2%28-x%29%5E4%2B3%28-x%29-14%20%5C%5C%20f%28-x%29%3D-x%5E5%2B2x%5E4-3x-14%20%5Cend%7Bgathered%7D)
we conclude that
![f(x)\ne f(-x)](https://tex.z-dn.net/?f=f%28x%29%5Cne%20f%28-x%29)
so, the function is not even
Step 2
Determine whether the function satisfies
![f(x)=-f(-x)](https://tex.z-dn.net/?f=f%28x%29%3D-f%28-x%29)
If it does, it is odd function
replace
![\begin{gathered} x^5+2x^4+3x-14\text{ =? = -(}-x^5+2x^4-3x-14) \\ x^5+2x^4+3x-14\text{ =? = +}x^5-2x^4+3x+14 \\ x^5+2x^4+3x-14\text{ }\ne\text{ +}x^5-2x^4+3x+14 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E5%2B2x%5E4%2B3x-14%5Ctext%7B%20%3D%3F%20%3D%20-%28%7D-x%5E5%2B2x%5E4-3x-14%29%20%5C%5C%20x%5E5%2B2x%5E4%2B3x-14%5Ctext%7B%20%3D%3F%20%3D%20%2B%7Dx%5E5-2x%5E4%2B3x%2B14%20%5C%5C%20x%5E5%2B2x%5E4%2B3x-14%5Ctext%7B%20%7D%5Cne%5Ctext%7B%20%2B%7Dx%5E5-2x%5E4%2B3x%2B14%20%5Cend%7Bgathered%7D)
therefore,
![f(x)\ne-f(-x)](https://tex.z-dn.net/?f=f%28x%29%5Cne-f%28-x%29)
so, this is not an odd function
so, the answer is
Neither
I hope this helps you
Answer:
60
Step-by-step explanation:
2/3*d=40
d=40*3/2
d=60
P=(9-7(.75))/(.38)
p=(9-5.25)/.38
p=3.75/.38
p=9.86
"Pieces" are integers so only 9 pieces .38yd are cut