34.9 because its 90 angle so you subtract the 55.1
Answer:
The condensed log equation is: ![\log{\frac{x^4y}{z^5}}](https://tex.z-dn.net/?f=%5Clog%7B%5Cfrac%7Bx%5E4y%7D%7Bz%5E5%7D%7D)
Step-by-step explanation:
We use these following logarithm properties to solve this question:
![a\log{x} = \log{x^a}](https://tex.z-dn.net/?f=a%5Clog%7Bx%7D%20%3D%20%5Clog%7Bx%5Ea%7D)
![\log{a} + \log{b} = \log{ab}](https://tex.z-dn.net/?f=%5Clog%7Ba%7D%20%2B%20%5Clog%7Bb%7D%20%3D%20%5Clog%7Bab%7D)
![\log{a} - \log{b} = \log{\frac{a}{b}}](https://tex.z-dn.net/?f=%5Clog%7Ba%7D%20-%20%5Clog%7Bb%7D%20%3D%20%5Clog%7B%5Cfrac%7Ba%7D%7Bb%7D%7D)
In this question:
![4\log{x} = \log{x^4}](https://tex.z-dn.net/?f=4%5Clog%7Bx%7D%20%3D%20%5Clog%7Bx%5E4%7D)
![5\log{5} = \log{z^5}](https://tex.z-dn.net/?f=5%5Clog%7B5%7D%20%3D%20%5Clog%7Bz%5E5%7D)
So
![4\log{x} + \log{y} - 5\log{z}](https://tex.z-dn.net/?f=4%5Clog%7Bx%7D%20%2B%20%5Clog%7By%7D%20-%205%5Clog%7Bz%7D)
Becomes:
![\log{x^4} + \log{y} - \log{z^5}](https://tex.z-dn.net/?f=%5Clog%7Bx%5E4%7D%20%2B%20%5Clog%7By%7D%20-%20%5Clog%7Bz%5E5%7D)
Now applying the addition and subtraction properties, we have:
![\log{\frac{x^4y}{z^5}}](https://tex.z-dn.net/?f=%5Clog%7B%5Cfrac%7Bx%5E4y%7D%7Bz%5E5%7D%7D)
The condensed log equation is: ![\log{\frac{x^4y}{z^5}}](https://tex.z-dn.net/?f=%5Clog%7B%5Cfrac%7Bx%5E4y%7D%7Bz%5E5%7D%7D)
Answer:
b)
Step-by-step explanation:
4X1 + 3X2 less than or equal to 150
Answer:
The 7.14% of her income is the income tax .
Step-by-step explanation:
Formula
![Percentage = \frac{Part\ value\times 100}{Total\ value}](https://tex.z-dn.net/?f=Percentage%20%3D%20%5Cfrac%7BPart%5C%20value%5Ctimes%20100%7D%7BTotal%5C%20value%7D)
As given
A house painter has an annual income of $35,000 and paid $2,500 in income tax.
Here
Part value = $2500
Total value = $35000
Put in the formula
![Percentage = \frac{2500\times 100}{35000}](https://tex.z-dn.net/?f=Percentage%20%3D%20%5Cfrac%7B2500%5Ctimes%20100%7D%7B35000%7D)
![Percentage = \frac{250000}{35000}](https://tex.z-dn.net/?f=Percentage%20%3D%20%5Cfrac%7B250000%7D%7B35000%7D)
![Percentage = 7.14\ (Approx)](https://tex.z-dn.net/?f=Percentage%20%3D%207.14%5C%20%28Approx%29)
Therefore the 7.14% of her income is the income tax .