Answer:
715 pounds
Step-by-step explanation:
<em>FV = solve</em>
<em>PV = 600</em>
<em>I% = 6</em>
<em>K = 1, N = 3 </em>(2013 - 2016 = 3 years)
Plug it in:
<em>FV = 600 x [ 1 + (6/100 x 1)]³</em>
= 600 x ( 1 + 0.06)³
= 600 x (1.06)³
FV = 714.61, 715 to the nearest dollar.
<em>Therefore, the fee in 2016 is 715 pounds.</em>
Answer:
![\frac{\sqrt[4]{3x^2} }{2y}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B4%5D%7B3x%5E2%7D%20%7D%7B2y%7D)
Step-by-step explanation:
We can simplify the expression under the root first.
Remember to use 
Thus, we have:
![\sqrt[4]{\frac{24x^{6}y}{128x^{4}y^{5}}} \\=\sqrt[4]{\frac{3x^{2}}{16y^{4}}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B24x%5E%7B6%7Dy%7D%7B128x%5E%7B4%7Dy%5E%7B5%7D%7D%7D%20%5C%5C%3D%5Csqrt%5B4%5D%7B%5Cfrac%7B3x%5E%7B2%7D%7D%7B16y%5E%7B4%7D%7D%7D)
We know 4th root can be written as "to the power 1/4th". Then we can use the property 
<em>So we have:</em>
<em>![\sqrt[4]{\frac{3x^{2}}{16y^{4}}} \\=(\frac{3x^{2}}{16y^{4}})^{\frac{1}{4}}\\=\frac{3^{\frac{1}{4}}x^{\frac{1}{2}}}{2y}\\=\frac{\sqrt[4]{3x^2} }{2y}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B3x%5E%7B2%7D%7D%7B16y%5E%7B4%7D%7D%7D%20%5C%5C%3D%28%5Cfrac%7B3x%5E%7B2%7D%7D%7B16y%5E%7B4%7D%7D%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%5C%5C%3D%5Cfrac%7B3%5E%7B%5Cfrac%7B1%7D%7B4%7D%7Dx%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%7B2y%7D%5C%5C%3D%5Cfrac%7B%5Csqrt%5B4%5D%7B3x%5E2%7D%20%7D%7B2y%7D)
</em>
<em />
<em>Option D is right.</em>
Answer:
B 137.32 cm³
Step-by-step explanation:
The original volume is
V = pi r^2 h
V = pi (3)^2 ( 12)
V =108 pi cm^2 = 339.12
the diameter increases by 1.12 6*1.12 = 6.72
r = 6.72 /2 =3.36
The height will increase by 1.12 so 12*1.12
V = pi ( 3.36)^2 ( 13.44)=476.4391834
The difference is
476.4391834 - 339.12 = 137.3191834
To the nearest hundredth
137.32
Put the coordinates of the point in for x, y, and z and see what the new constant is.
Your plane is
5x +4y +2z = -31
