The answer is 1 because anything the zero power is 1
Answer:
Each oven is discounted by $20.
Step-by-step explanation:
Original price of oven in dollars = ![x](https://tex.z-dn.net/?f=x)
To find total cost for 9 such ovens without discount we will apply unitary method.
If 1 oven costs in dollars = ![x](https://tex.z-dn.net/?f=x)
Then 9 ovens will cost in dollars = ![9x](https://tex.z-dn.net/?f=9x)
The ovens are purchased by a restaurant supplier at some discounted price.
The new price after discount in dollars = ![9x-180](https://tex.z-dn.net/?f=9x-180)
We see that the total cost of 9 ovens which was originally
has been decreased to
after discount.
The decrease amount is the discount amount on 9 ovens which is = $180
To find discount offered on each oven, we will again use unitary method.
Discount on 9 ovens = $180
∴ Discount on 1 oven = ![\frac{\$180}{9}=\$20](https://tex.z-dn.net/?f=%5Cfrac%7B%5C%24180%7D%7B9%7D%3D%5C%2420)
∴ Each oven is discounted by $20.
Answer:
![y =mx +bx](https://tex.z-dn.net/?f=%20y%20%3Dmx%20%2Bbx)
Where y is the total amount earned, m the amount for each extended warranty and b the fixed cost and x the total amount of TVs
For this case the value of x = 16 since we have 16 Tvs with extended warranties and we can do this:
![1200 = 15*16 +16b](https://tex.z-dn.net/?f=%201200%20%3D%2015%2A16%20%2B16b)
and solving for b we got:
![b= \frac{1200-15*16}{16}= 60](https://tex.z-dn.net/?f=%20b%3D%20%5Cfrac%7B1200-15%2A16%7D%7B16%7D%3D%2060)
And then we can conclude that she earns 60 for each TV
Step-by-step explanation:
For this case we can set a linear model like this:
![y =mx +bx](https://tex.z-dn.net/?f=%20y%20%3Dmx%20%2Bbx)
Where y is the total amount earned, m the amount for each extended warranty and b the fixed cost and x the total amount of TVs
For this case the value of x = 16 since we have 16 Tvs with extended warranties and we can do this:
![1200 = 15*16 +16b](https://tex.z-dn.net/?f=%201200%20%3D%2015%2A16%20%2B16b)
and solving for b we got:
![b= \frac{1200-15*16}{16}= 60](https://tex.z-dn.net/?f=%20b%3D%20%5Cfrac%7B1200-15%2A16%7D%7B16%7D%3D%2060)
And then we can conclude that she earns 60 for each TV
Answer:
Step-by-step explanation:
total interest payed - $249.00
total payment - $9,249.00
The potential solutions of
are 2 and -8.
<h3>Properties of Logarithms</h3>
From the properties of logarithms, you can rewrite logarithmic expressions.
The main properties are:
- Product Rule for Logarithms -
![log_{b}(a*c)=log_{b}a+log_{b}c](https://tex.z-dn.net/?f=log_%7Bb%7D%28a%2Ac%29%3Dlog_%7Bb%7Da%2Blog_%7Bb%7Dc)
- Quotient Rule for Logarithms -
![log_{b}(\frac{a}{c} )=log_{b}a-log_{b}c](https://tex.z-dn.net/?f=log_%7Bb%7D%28%5Cfrac%7Ba%7D%7Bc%7D%20%29%3Dlog_%7Bb%7Da-log_%7Bb%7Dc)
- Power Rule for Logarithms -
![log_{b}(a^c)=c*log_{b}a](https://tex.z-dn.net/?f=log_%7Bb%7D%28a%5Ec%29%3Dc%2Alog_%7Bb%7Da)
The exercise asks the potential solutions for
. In this expression you can apply the Product Rule for Logarithms.
![log_4x+log_4(x+6)=2\\ \\ x*(x+6)=4^2\\ \\ x^2+6x=16\\ \\ x^2+6x-16=0](https://tex.z-dn.net/?f=log_4x%2Blog_4%28x%2B6%29%3D2%5C%5C%20%5C%5C%20x%2A%28x%2B6%29%3D4%5E2%5C%5C%20%5C%5C%20x%5E2%2B6x%3D16%5C%5C%20%5C%5C%20x%5E2%2B6x-16%3D0)
Now you should solve the quadratic equation.
Δ=
. Thus, x will be
. Then:
![x_1=\frac{-6+10}{2}=\frac{4}{2} =2\\ \\ \:x_2=\frac{-6-10}{2}=\frac{-16}{2} =-8](https://tex.z-dn.net/?f=x_1%3D%5Cfrac%7B-6%2B10%7D%7B2%7D%3D%5Cfrac%7B4%7D%7B2%7D%20%3D2%5C%5C%20%5C%5C%20%5C%3Ax_2%3D%5Cfrac%7B-6-10%7D%7B2%7D%3D%5Cfrac%7B-16%7D%7B2%7D%20%3D-8)
The potential solutions are 2 and -8.
Read more about the properties of logarithms here:
brainly.com/question/14868849