Answer:
The answer is 3%
Step-by-step explanation:
621=prt÷100
621=4140×5×r÷100
62100=4140×5r
R=3%
Answer:
![(\frac{3}{4})^3 * (\frac{2}{3})^2 = \frac{3}{16}](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B4%7D%29%5E3%20%2A%20%28%5Cfrac%7B2%7D%7B3%7D%29%5E2%20%3D%20%5Cfrac%7B3%7D%7B16%7D)
Step-by-step explanation:
Given
![(\frac{3}{4})^3 * (\frac{2}{3})^2](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B4%7D%29%5E3%20%2A%20%28%5Cfrac%7B2%7D%7B3%7D%29%5E2)
Required
Solve:
![(\frac{3}{4})^3 * (\frac{2}{3})^2](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B4%7D%29%5E3%20%2A%20%28%5Cfrac%7B2%7D%7B3%7D%29%5E2)
Apply law of indices
![(\frac{3}{4})^3 * (\frac{2}{3})^2 = \frac{3^3}{4^3} * \frac{2^2}{3^2}](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B4%7D%29%5E3%20%2A%20%28%5Cfrac%7B2%7D%7B3%7D%29%5E2%20%3D%20%5Cfrac%7B3%5E3%7D%7B4%5E3%7D%20%2A%20%5Cfrac%7B2%5E2%7D%7B3%5E2%7D)
Express 4 as 2^2
![(\frac{3}{4})^3 * (\frac{2}{3})^2 = \frac{3^3}{(2^2)^3} * \frac{2^2}{3^2}](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B4%7D%29%5E3%20%2A%20%28%5Cfrac%7B2%7D%7B3%7D%29%5E2%20%3D%20%5Cfrac%7B3%5E3%7D%7B%282%5E2%29%5E3%7D%20%2A%20%5Cfrac%7B2%5E2%7D%7B3%5E2%7D)
![(\frac{3}{4})^3 * (\frac{2}{3})^2 = \frac{3^3}{2^6} * \frac{2^2}{3^2}](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B4%7D%29%5E3%20%2A%20%28%5Cfrac%7B2%7D%7B3%7D%29%5E2%20%3D%20%5Cfrac%7B3%5E3%7D%7B2%5E6%7D%20%2A%20%5Cfrac%7B2%5E2%7D%7B3%5E2%7D)
Express as a singe fraction
![(\frac{3}{4})^3 * (\frac{2}{3})^2 = \frac{3^3*2^2}{2^6*3^2}](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B4%7D%29%5E3%20%2A%20%28%5Cfrac%7B2%7D%7B3%7D%29%5E2%20%3D%20%5Cfrac%7B3%5E3%2A2%5E2%7D%7B2%5E6%2A3%5E2%7D)
Apply law of indices:
![(\frac{3}{4})^3 * (\frac{2}{3})^2 = \frac{3^{3-2}}{2^{6-2}}](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B4%7D%29%5E3%20%2A%20%28%5Cfrac%7B2%7D%7B3%7D%29%5E2%20%3D%20%5Cfrac%7B3%5E%7B3-2%7D%7D%7B2%5E%7B6-2%7D%7D)
![(\frac{3}{4})^3 * (\frac{2}{3})^2 = \frac{3^1}{2^4}](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B4%7D%29%5E3%20%2A%20%28%5Cfrac%7B2%7D%7B3%7D%29%5E2%20%3D%20%5Cfrac%7B3%5E1%7D%7B2%5E4%7D)
![(\frac{3}{4})^3 * (\frac{2}{3})^2 = \frac{3}{16}](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B4%7D%29%5E3%20%2A%20%28%5Cfrac%7B2%7D%7B3%7D%29%5E2%20%3D%20%5Cfrac%7B3%7D%7B16%7D)
Step-by-step explanation:
Given that,
Half of Robert's piece of wire is equal to of Maria's wire i.e.
....(1)
Total length of the wires = 10 feet
ATQ,
....(2)
Use equation (1) in (2).
![R+\dfrac{R}{2}=10\\\\\dfrac{3R}{2}=10\\\\R=\dfrac{20}{3}\\\\R=6.67\ ft](https://tex.z-dn.net/?f=R%2B%5Cdfrac%7BR%7D%7B2%7D%3D10%5C%5C%5C%5C%5Cdfrac%7B3R%7D%7B2%7D%3D10%5C%5C%5C%5CR%3D%5Cdfrac%7B20%7D%7B3%7D%5C%5C%5C%5CR%3D6.67%5C%20ft)
So,
![M=\dfrac{6.67}{2}\\\\M=3.33\ ft](https://tex.z-dn.net/?f=M%3D%5Cdfrac%7B6.67%7D%7B2%7D%5C%5C%5C%5CM%3D3.33%5C%20ft)
Hence, this is the required solution.
B bc 17.5x so 17.5 times however many hours there are
Answer:
I DO LOL
Step-by-step explanation:
sorry for caps