Answer: 9,28
4,22
Step-by-step explanation:
Answer:
= $44.19
Step-by-step explanation:
APR = 19%
Billing cycle = 30 days
Balance = $2830
Let's first find the daily rate,
Daily rate = ![\frac{0.19}{365} = 0.000521](https://tex.z-dn.net/?f=%5Cfrac%7B0.19%7D%7B365%7D%20%3D%200.000521)
The daily rate = 0.000521
To calculate the amount Shirley was charged interest for the billing cycle, we use:
Daily rate * billing cycle * balance
Where,
Daily rate
= ![\frac{0.19}{365}](https://tex.z-dn.net/?f=%5Cfrac%7B0.19%7D%7B365%7D)
Billing cycle = 30 days
Balance = $2830
Therefore, expression to be used =
![(\frac{0.19}{365} * 30) * 2830 \\= $44.19](https://tex.z-dn.net/?f=%28%5Cfrac%7B0.19%7D%7B365%7D%20%20%2A%2030%29%20%2A%202830%20%5C%5C%3D%20%2444.19)
This is easier than it looks!
Remember:
![(a+b)^2 = a^2+2ab+b^2](https://tex.z-dn.net/?f=%28a%2Bb%29%5E2%20%3D%20a%5E2%2B2ab%2Bb%5E2)
and (a+b) is given and we have one ab too much...
So:
![a^2+ab+b^2 = (a+b)^2 - ab = 10^2 - 16 = 84](https://tex.z-dn.net/?f=a%5E2%2Bab%2Bb%5E2%20%3D%20%28a%2Bb%29%5E2%20-%20ab%20%3D%20%2010%5E2%20-%2016%20%3D%2084)
If we subtract ab twice more, we got the other one.
Answer:
f(x) has one real zero at –4 because the graph of the function has an intercept at (–4, 0).
Step-by-step explanation:
Zeros of a function f(x) are those points where f(x) = 0. Then, zeros coordinates have the form (x1, 0), (x2, 0), et cetera. In the graph, a zero is seen as the interception of f(x) with the x-axis.
Hey
![log_{2}(2 {x}^{3} - 8) - 2 log_{2}(x) = log_{2}(x)](https://tex.z-dn.net/?f=%20log_%7B2%7D%282%20%7Bx%7D%5E%7B3%7D%20%20-%208%29%20%20-%202%20log_%7B2%7D%28x%29%20%20%3D%20%20log_%7B2%7D%28x%29%20)
Transposing log x to other side :
![= > log_{2}(2 {x}^{3} - 8) = log_{2}(x) + 2 log_{2}(x)](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20%20log_%7B2%7D%282%20%7Bx%7D%5E%7B3%7D%20%20-%208%29%20%20%3D%20%20log_%7B2%7D%28x%29%20%20%2B%202%20log_%7B2%7D%28x%29%20)
Using Logarithmic Property :
![= > log_{2}(2 {x}^{3} - 8) = log_{2}( {x}^{3} )](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20%20log_%7B2%7D%282%20%7Bx%7D%5E%7B3%7D%20%20-%208%29%20%20%3D%20%20log_%7B2%7D%28%20%7Bx%7D%5E%7B3%7D%20%20%29%20)
Raising to the power 2 :
![{x}^{3} - 8 = 0](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B3%7D%20%20-%208%20%3D%200)
![= > (x - 2)( {x}^{2} + 2x + 4) = 0](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20%28x%20-%202%29%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%202x%20%2B%204%29%20%3D%200)
![= > x = 2](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20x%20%3D%202)
Hence, [ x = 2 ] is the only real solution !