keeping in mind that
x = percent rate for the 17000 investment.
y = percent rate for the 11000 investment.
so the amount for the 17000 interest will just be (x/100) * 17000, or namely 170x.
and the amount of interest earned for the 11000 is (y/100) * 11000, or just 110y.
now, regardless of what "x" and "y" are, we know that the interest from the 17000 is higher by 308 bucks, therefore 170x = 110y + 308.
we also know that the rate of <u>x</u> is higher as well than <u>y</u> by 0.4%, so then x = y + 0.4.
![\bf \begin{cases} 170x=110y+308\\ \boxed{x}= y +0.4\\[-0.5em] \hrulefill\\ 170\left( \boxed{y+0.4} \right)=110y+308 \end{cases} \\\\\\ 170y+68=110y+308\implies 60y=240\implies y=\cfrac{240}{60}\implies \blacktriangleright y=\stackrel{\%}{4} \blacktriangleleft \\\\\\ x=y+0.4\implies \blacktriangleright x=\stackrel{\%}{4.4} \blacktriangleleft](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Bcases%7D%20170x%3D110y%2B308%5C%5C%20%5Cboxed%7Bx%7D%3D%20y%20%2B0.4%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20170%5Cleft%28%20%5Cboxed%7By%2B0.4%7D%20%5Cright%29%3D110y%2B308%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%20170y%2B68%3D110y%2B308%5Cimplies%2060y%3D240%5Cimplies%20y%3D%5Ccfrac%7B240%7D%7B60%7D%5Cimplies%20%5Cblacktriangleright%20y%3D%5Cstackrel%7B%5C%25%7D%7B4%7D%20%5Cblacktriangleleft%20%5C%5C%5C%5C%5C%5C%20x%3Dy%2B0.4%5Cimplies%20%5Cblacktriangleright%20x%3D%5Cstackrel%7B%5C%25%7D%7B4.4%7D%20%5Cblacktriangleleft)
If you choose to become an architect, then you will need it all the time. You would need to find the area of the floors, walls, etc. which will almost always be composite figures.
Answer:
<h2>HJ = 17</h2>
Step-by-step explanation:
The equation:
2 + HI + 12 = 7 + 12
HI + 14 = 19 <em>subtract 14 from both sides</em>
HI = 5
HJ = HI + 12
Substitute the value of HI:
HJ = 5 + 12 = 17
Answer:
s = ∛( 1953.125 cm³ ) = 12.5 cm
Step-by-step explanation:
The volume of a cube is V = s³, where s represents the length of one edge.
Here, V = s³ = 1953.125 cm³, and we need to solve for s. Do this by taking the cube root of both sides:
s = ∛( 1953.125 cm³ ) = 12.5 cm
