47000 is the original salary (100%)
3% of 47000 is :
0.03 x 47000
= 1410
you would make $1410 more
Answer:
Volume of Cone =
![= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3](https://tex.z-dn.net/?f=%3D%20%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%282%29%5E2%20%284%29%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%283.14%29%284%29%284%29%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%203.14%5Ctimes%2016%20%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes50.24%5C%5C%5C%5C%3D16.746%5C%5C%5C%5C%5Capprox16.75%20%5Ctexttt%20%7Bft%7D%20%5E3)
Thus, Volume = 16.75 cubic feet
Step-by-step explanation:
Volume of a cone is given by the formula
![V=\frac{1}{3}\pi r^2 h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h)
Where r is the radius and
h is the height
Given radius r = 2 and
height is 2 times that.
So height is 2*2 = 4
Plugging these into the formula we get:
Volume of Cone =
![= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3](https://tex.z-dn.net/?f=%3D%20%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%282%29%5E2%20%284%29%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%283.14%29%284%29%284%29%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%203.14%5Ctimes%2016%20%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes50.24%5C%5C%5C%5C%3D16.746%5C%5C%5C%5C%5Capprox16.75%20%5Ctexttt%20%7Bft%7D%20%5E3)
Thus, Volume = 16.75 cubic feet
Answer:
3.205
Step-by-step explanation:
convert the decimal number to a fraction
![45 \div \frac{351}{25}](https://tex.z-dn.net/?f=45%20%5Cdiv%20%20%5Cfrac%7B351%7D%7B25%7D%20)
To divide by fraction, multiply by the reciprocal of that fraction
![45 \times \frac{25}{351}](https://tex.z-dn.net/?f=45%20%5Ctimes%20%20%5Cfrac%7B25%7D%7B351%7D%20)
Reduce the numbers with the greatest common divisor 9
![5 \times \frac{25}{39}](https://tex.z-dn.net/?f=5%20%5Ctimes%20%20%5Cfrac%7B25%7D%7B39%7D%20)
Calculate the product
![\frac{125}{39}](https://tex.z-dn.net/?f=%20%5Cfrac%7B125%7D%7B39%7D%20)
Now turn it to a decimal which will be
![3.20513](https://tex.z-dn.net/?f=3.20513)