"C. was overthrown by invading Mongol tribes in A.D. 1279" would be the best phrase describing China's Song Dynasty, but this was of course not always the case.
Answer:
1. Logic,4. Philosophy,3. History
Explanation:
Humanists studied and explored "Humanities" . For example, the study of life and culture such as grammar, rhetoric, history, poetry, and ethics
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A piece of legislation that called for popular sovereignty to decide the slavery issue was the Kansas-Nebraska Act.
<h3>What is the Kansas Nebraska Act?</h3>
The Kansas-Nebraska Act was enacted in the year 1854, which led to the creation of two separate territories in the name of Kansas and Nebraska. It gave rise to popular sovereignty.
Hence, option C states about the Kansas-Nebraska Act.
Learn more about the Kansas-Nebraska Act here:
brainly.com/question/21577804
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Answer:
3000 invested in stock A
2000 invested in stock B
Explanation:
Given
--- rate of stock A
--- rate of stock B
--- Amount invested
---- Value of stock
Required
Determine the amount invested in each
Let
Amount invested in A
Amount invested in B
So:
![x + y = A](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%20A)
![x + y = 5000](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%205000)
Make x the subject
![x = 5000- y](https://tex.z-dn.net/?f=x%20%3D%205000-%20y)
The gain on stock A is:
![A_{New} = x * r_A](https://tex.z-dn.net/?f=A_%7BNew%7D%20%3D%20x%20%2A%20r_A)
![A_{New} = (5000 - y) * 5.2\%](https://tex.z-dn.net/?f=A_%7BNew%7D%20%3D%20%285000%20-%20y%29%20%2A%205.2%5C%25)
![A_{New} = (5000 - y) * 0.052](https://tex.z-dn.net/?f=A_%7BNew%7D%20%3D%20%285000%20-%20y%29%20%2A%200.052)
![A_{New} = 260 - 0.052y](https://tex.z-dn.net/?f=A_%7BNew%7D%20%3D%20260%20-%200.052y)
The gain on stock B is:
![B_{New} = y * r_B](https://tex.z-dn.net/?f=B_%7BNew%7D%20%3D%20y%20%2A%20r_B)
![B_{New} = y* 12.8\%](https://tex.z-dn.net/?f=B_%7BNew%7D%20%3D%20y%2A%2012.8%5C%25)
![B_{New} = y* 0.128](https://tex.z-dn.net/?f=B_%7BNew%7D%20%3D%20y%2A%200.128)
![B_{New} = 0.128y](https://tex.z-dn.net/?f=B_%7BNew%7D%20%3D%200.128y)
So, we have:
----- i.e. total gain on both stocks
![260 -0.052y+0.128y = 5412 -5000](https://tex.z-dn.net/?f=260%20-0.052y%2B0.128y%20%3D%205412%20-5000)
![260 -0.052y+0.128y = 412](https://tex.z-dn.net/?f=260%20-0.052y%2B0.128y%20%3D%20412)
Collect like terms
![-0.052y+0.128y = 412-260](https://tex.z-dn.net/?f=-0.052y%2B0.128y%20%3D%20412-260)
![0.076y = 152](https://tex.z-dn.net/?f=0.076y%20%3D%20152)
Solve for y
![y = 2000](https://tex.z-dn.net/?f=y%20%3D%202000)
To solve for x, we have:
![x = 5000- y](https://tex.z-dn.net/?f=x%20%3D%205000-%20y)
![x = 5000 - 2000](https://tex.z-dn.net/?f=x%20%3D%205000%20-%202000)
![x = 3000](https://tex.z-dn.net/?f=x%20%3D%203000)
Answer:
A militia force of Patriots decisively defeated and scattered a Loyalist militia force that was on its way to British-controlled Augusta. The victory demonstrated the inability of British forces to hold the interior of the state, or to protect even sizable numbers of Loyalist recruits outside their immediate area.
Explanation:
hope this helps