keeping in mind that
![\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Ba%5C%25%20of%20b%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20%5Cleft%28%20%5Ccfrac%7Ba%7D%7B100%7D%20%5Cright%29%5Ccdot%20b%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D)
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)
Answer:
it would be 1,383.08
You use long subtraction to find the answer.
2,142.62
759.54.
Answer:
x=11 degrees
Step-by-step explanation:
First what you would do is add 6x and 5x-7 to get 11x-7 degrees. Then you double that by using opposite angles theorem to get 22x-14 as the answer of two angles. Next you double 7x-11 to get 14x-22 by using the same theorem as the last one. then you do 14x-22+22x-14=360 degrees then you get your final answer of x=11 degrees
Answer:
q≤7
Step-by-step explanation:
q+8≤15
1) Subtract 8 from both sides:
q≤7