Not sure but I think it is 3. If you get it wrong I am so sorry.
Alright! To simply means to just put it as simple as it can be while still meaning the same thing. So, in this question you're simplifying:
![\frac{6xy^{6}z^{2} }{2y^{2}z^{8}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6xy%5E%7B6%7Dz%5E%7B2%7D%20%7D%7B2y%5E%7B2%7Dz%5E%7B8%7D%7D%20)
First, you divide the whole numbers:
![\frac{6xy^{6}z^{2} }{2y^{2}z^{8}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6xy%5E%7B6%7Dz%5E%7B2%7D%20%7D%7B2y%5E%7B2%7Dz%5E%7B8%7D%7D%20)
→
![\frac{3xy^{6}z^{2} }{y^{2}z^{8}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3xy%5E%7B6%7Dz%5E%7B2%7D%20%7D%7By%5E%7B2%7Dz%5E%7B8%7D%7D%20)
All you have to do now is cancel out the powers with their corresponding base. So you'll get the following:
Applying cosines law we have:
5 ^ 2 = 7 ^ 2 + 6 ^ 2 - 2 * 7 * 6 * cos (F)
Clearing the angle we have:
cos (F) = (5 ^ 2 - 7 ^ 2 - 6 ^ 2) / (- 2 * 7 * 6)
cos (F) = 0.714285714
Then, clearing the angle:
F = acos (0.714285714)
F = 44.42 degrees
Rounding:
F = 44 degrees
Answer:
F = 44 degrees
option 1
Cumulative costs of the investments of a mutual fund you currently hold are the amount invested. Net Investment is one investment action's net amount of inflow.
- Invested Amount in PP
![\bold{= \$2400}](https://tex.z-dn.net/?f=%5Cbold%7B%3D%20%5C%242400%7D)
- Invested Amount in TT
![\bold{= \$(10000 - 2400) = \$7600}](https://tex.z-dn.net/?f=%5Cbold%7B%3D%20%5C%24%2810000%20-%202400%29%20%3D%20%5C%247600%7D)
Solution:
The formula for calculating the simple interest:
![\to \text{Simple interest} = principal \times rate \times time](https://tex.z-dn.net/?f=%5Cto%20%5Ctext%7BSimple%20interest%7D%20%3D%20principal%20%5Ctimes%20rate%20%5Ctimes%20time)
Total amount = 10000
Let :
- Invested Principle (PP)
............................. (i) - Invested Amount in TT
................................. (ii)
From both investments total earned interest = $620
![\to \bold{PP \ investment \ return + TT \ investment\ return = 620}](https://tex.z-dn.net/?f=%5Cto%20%5Cbold%7BPP%20%5C%20investment%20%5C%20return%20%2B%20TT%20%5C%20investment%5C%20return%20%3D%20620%7D)
![\to (r \times 10\% \times 1) + (10000 - r \times 5\% \times 1) = 620\\\\\to (r \times \frac{10}{100} \times 1) + (10000 - r \times \frac{5}{100} \times 1) = 620\\\\\to (r \times 0.10 \times 1) + (10000 - r \times 0.05 \times 1) = 620\\\\\to 0.1r + 500 - 0.05r = 620\\\\\to 0.05r = 620 - 500\\\\\to 0.05r = 120\\\\\to r =\frac{ 120}{0.05}\\\\\to r = 2400](https://tex.z-dn.net/?f=%5Cto%20%28r%20%5Ctimes%2010%5C%25%20%5Ctimes%201%29%20%2B%20%2810000%20-%20r%20%5Ctimes%205%5C%25%20%5Ctimes%201%29%20%3D%20620%5C%5C%5C%5C%5Cto%20%28r%20%5Ctimes%20%5Cfrac%7B10%7D%7B100%7D%20%5Ctimes%201%29%20%2B%20%2810000%20-%20r%20%5Ctimes%20%5Cfrac%7B5%7D%7B100%7D%20%5Ctimes%201%29%20%3D%20620%5C%5C%5C%5C%5Cto%20%28r%20%5Ctimes%200.10%20%5Ctimes%201%29%20%2B%20%2810000%20-%20r%20%5Ctimes%200.05%20%5Ctimes%201%29%20%3D%20620%5C%5C%5C%5C%5Cto%200.1r%20%2B%20500%20-%200.05r%20%3D%20620%5C%5C%5C%5C%5Cto%200.05r%20%3D%20620%20-%20500%5C%5C%5C%5C%5Cto%200.05r%20%3D%20120%5C%5C%5C%5C%5Cto%20r%20%3D%5Cfrac%7B%20120%7D%7B0.05%7D%5C%5C%5C%5C%5Cto%20r%20%3D%202400)
Therefore,
- Invested Amount in PP
![\bold{= \$2400}](https://tex.z-dn.net/?f=%5Cbold%7B%3D%20%5C%242400%7D)
- Invested Amount in TT
![\bold{= \$(10000 - 2400) = \$7600}](https://tex.z-dn.net/?f=%5Cbold%7B%3D%20%5C%24%2810000%20-%202400%29%20%3D%20%5C%247600%7D)
Learn more :
brainly.com/question/20014745