Answer:
It will have complex and different roots.
Step-by-step explanation:
The solution is attached in the image below:
Answer:
-4
Step-by-step explanation:
by finding the exact value.
9 more keepers would need to be added i believe <span />
a = total amount invested at 5%
b = total amount invested at 8%
we know 5% was earned in interest from "a", so that'd be (5/100) * a or 0.05a.
we know 8% was earned in interest from "b", so that'd be (8/100) * a or 0.08b.
we also know that the total for both is 1000, a + b = 100.
![\begin{cases} a + b = 1000\\ 0.05a+0.08b=65 \end{cases}\qquad \qquad \stackrel{\textit{since we know}}{a+b=1000}\implies b = 1000-a \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.05a+0.08(100-a)=65}\implies 0.05a+80-0.08a=65 \\\\\\ -0.03a+80=65\implies -0.03a=-15\implies a=\cfrac{-15}{-0.03}\implies \boxed{a = 500} \\\\\\ \stackrel{\textit{we know that}}{b = 1000-a}\implies b=1000-500\implies \boxed{b = 500}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D%20a%20%2B%20b%20%3D%201000%5C%5C%200.05a%2B0.08b%3D65%20%5Cend%7Bcases%7D%5Cqquad%20%5Cqquad%20%5Cstackrel%7B%5Ctextit%7Bsince%20we%20know%7D%7D%7Ba%2Bb%3D1000%7D%5Cimplies%20b%20%3D%201000-a%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bsubstituting%20on%20the%202nd%20equation%7D%7D%7B0.05a%2B0.08%28100-a%29%3D65%7D%5Cimplies%200.05a%2B80-0.08a%3D65%20%5C%5C%5C%5C%5C%5C%20-0.03a%2B80%3D65%5Cimplies%20-0.03a%3D-15%5Cimplies%20a%3D%5Ccfrac%7B-15%7D%7B-0.03%7D%5Cimplies%20%5Cboxed%7Ba%20%3D%20500%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bwe%20know%20that%7D%7D%7Bb%20%3D%201000-a%7D%5Cimplies%20b%3D1000-500%5Cimplies%20%5Cboxed%7Bb%20%3D%20500%7D)
the answer is neither because they just do look like they do but they don't because they are actually neither that's why it is so tricky.