You invest $ 5000 in two stocks . In one year , the value of stock A increases by 5.2 % and the value of stock B increases by 12.8 % The total value of the stocks is now $ 5412 . How much did you originally invest in each stock ?
Stock A=
Stock B=

Answers

Answer 1

Answer:

3000 invested in stock A

2000 invested in stock B

Explanation:

Given

[tex]r_A = 5.2\%[/tex] --- rate of stock A

[tex]r_B = 12.8\%[/tex] --- rate of stock B

[tex]A = 5000[/tex] --- Amount invested

[tex]Total = 5412[/tex] ---- Value of stock

Required

Determine the amount invested in each

Let

[tex]x \to[/tex] Amount invested in A

[tex]y \to[/tex] Amount invested in B

So:

[tex]x + y = A[/tex]

[tex]x + y = 5000[/tex]

Make x the subject

[tex]x = 5000- y[/tex]

The gain on stock A is:

[tex]A_{New} = x * r_A[/tex]

[tex]A_{New} = (5000 - y) * 5.2\%[/tex]

[tex]A_{New} = (5000 - y) * 0.052[/tex]

[tex]A_{New} = 260 - 0.052y[/tex]

The gain on stock B is:

[tex]B_{New} = y * r_B[/tex]

[tex]B_{New} = y* 12.8\%[/tex]

[tex]B_{New} = y* 0.128[/tex]

[tex]B_{New} = 0.128y[/tex]

So, we have:

[tex]A_{New} + B_{New} = Total - A[/tex] ----- i.e. total gain on both stocks

[tex]260 -0.052y+0.128y = 5412 -5000[/tex]

[tex]260 -0.052y+0.128y = 412[/tex]

Collect like terms

[tex]-0.052y+0.128y = 412-260[/tex]

[tex]0.076y = 152[/tex]

Solve for y

[tex]y = 2000[/tex]

To solve for x, we have:

[tex]x = 5000- y[/tex]

[tex]x = 5000 - 2000[/tex]

[tex]x = 3000[/tex]


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A )States' interactions must be approved by the federal government
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Answers

Answer:

C.

Explanation:

Article IV addresses something different: the states' relations with each other, sometimes called “horizontal federalism.” Its first section, the Full Faith and Credit Clause, requires every state, as part of a single nation, to give a certain measure of respect to every other state's laws and institutions.

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Answers

Answer:

C It wanted to overthrow Cuba's communist government

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Answers

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Answer:

B. Manchuria and southern China

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Explanation:

In the 1930's, the Japanese had expanded their reach into Manchuria and southern China.

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Answers

Answer:

The Answer is b hope this helps

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Answers

Answer:

More than any other source you are likely to encounter during your research, a scholarly source is most likely to be reliable and accurate. Primary sources are documents that were written or created during the time period under study.

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Answers

Answer:

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Explanation:

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Answers

Answer: Muslim rebels are resisting the invading Soviet forces.

Explanation:

The Soviets invaded Afghanistan in 1979 and fought a war against Muslim rebels and guerillas for almost 10 years. The war ended in the withdrawal and some might say, defeat of the Soviets.

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Answer:

c-Muslim rebels are resisting the invading Soviet forces.

Explanation:

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Answers

Answer:

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Answers

Answer:

A

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Answers

Answer:

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Answers

Answer:

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Answers

Answer:

It gave too much power to the states. It did not allow Congress to issue currency.

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When the framers of the Articles of Confederation designed it, they did not want a Federal government that would be too powerful. They therefore gave Congress reduced powers that would keep it subservient to states.

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Explanation:

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Answers

Answer:

Great contribution.

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Answer:

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Answers

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Answer: B

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Answers

Answer:

Many black South Africans aspired for and hoped for better education, but they did not receive it.  The Bantu Department of Education's education act sparked widespread outrage in the Black South African community.  The Bantu Education Department enacted a law requiring all black South Africans to be taught exclusively in the Afrikaans language.  If they wanted any kind of secondary education, they could have it.  Unfortunately, Afrikaans was an exceedingly difficult language to learn and teach.  Many of the teachers had a poor education and did not speak Afrikaans, making it impossible for them to teach.  Many of the teachers had minimal education and could not teach Afrikaans since they did not know it.  Many pupils thought it was unjust that they could not learn English simply because of their skin color.  Many other people were offended by this, so many teachers began teaching in English nonetheless, and students began refusing to write and speak in Afrikaans.

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Answers

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