Current Price = $70
Percentage increase = 100% of $70 = $70
Sale Price = $70 + $70 = $140
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Answer: The sale price of the cell phone is $140.
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Answer:
Margin of error ![=E=[69]](https://tex.z-dn.net/?f=%3DE%3D%5B69%5D)
Step-by-step explanation:
Data provided in the question:
![\bar{x}=\$\ 893](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%3D%5C%24%5C%20893)
![\sigma=\$\ 450](https://tex.z-dn.net/?f=%5Csigma%3D%5C%24%5C%20450)
![n=102](https://tex.z-dn.net/?f=n%3D102)
At
confidence level the
is.
![\alpha=1-88 \%=1-0.88=0.12](https://tex.z-dn.net/?f=%5Calpha%3D1-88%20%5C%25%3D1-0.88%3D0.12%20)
![\frac{\alpha}{2}=\frac{0.12}{2}=0.06](https://tex.z-dn.net/?f=%5Cfrac%7B%5Calpha%7D%7B2%7D%3D%5Cfrac%7B0.12%7D%7B2%7D%3D0.06%20)
![z_{\frac \alpha 2}=20.06=1.555](https://tex.z-dn.net/?f=z_%7B%5Cfrac%20%5Calpha%202%7D%3D20.06%3D1.555)
![\text { Margin of error }=E=Z_{\frac \alpha 2} \times \frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Margin%20of%20error%20%7D%3DE%3DZ_%7B%5Cfrac%20%5Calpha%202%7D%20%5Ctimes%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
![E=1.555 \times \frac{450}{\sqrt{102}}](https://tex.z-dn.net/?f=E%3D1.555%20%5Ctimes%20%5Cfrac%7B450%7D%7B%5Csqrt%7B102%7D%7D)
Margin of error ![=E=[69]](https://tex.z-dn.net/?f=%3DE%3D%5B69%5D)
Answer:
$0.11 per pound
Step-by-step explanation:
15 - 3 = 12
12/112 = 0.10714286
= about 0.11
A manufacturing company has the following fixed monthly costs and unit variable costs:
Rent = $2,200
Utilities = $375
Variable costs for materials and assembly = $13.25/unit
Monthly labor = $750
Given is the product is sold at $24.99 per unit
Let the number of units sold be x
Adding total cost = ![2200+375+750=3325](https://tex.z-dn.net/?f=2200%2B375%2B750%3D3325)
Equation becomes:
![3325+13.25x=24.99x](https://tex.z-dn.net/?f=3325%2B13.25x%3D24.99x)
![11.74x=3325](https://tex.z-dn.net/?f=11.74x%3D3325)
x= 283.21
So, rounding it to nearest whole number we get, 283 units.
If a function has roots -1 and -5, it must be in the form
![f(x)=a(x+1)(x+5)](https://tex.z-dn.net/?f=f%28x%29%3Da%28x%2B1%29%28x%2B5%29)
We can fix the coefficient a by imposing the passing through (0,-30):
![f(0)=-30=a(1)(5)\iff a=-6](https://tex.z-dn.net/?f=f%280%29%3D-30%3Da%281%29%285%29%5Ciff%20a%3D-6)
So, the function is
![f(x)=-6(x+1)(x+5)](https://tex.z-dn.net/?f=f%28x%29%3D-6%28x%2B1%29%28x%2B5%29)