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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Answer: Company guards and agents spied on and reported workers.

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Living in company towns meant that the company had guards on the streets and agents who lived amongst workers like they were one of them. Both these guards and agents were told to keep their ears open for signs of union activity.

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Saint Peterdburg is a Russian port city on the Baltic Sea. It was the imperial capital for 2 centuries, having been founded in 1703 by Peter the Great, the subject of the city's iconic "Bronze Horseman" statue. Sweden's first fortress, Landskrona, was erected at the mouth of the Ojita River in 1299. In 1703 the Russians conquered Nyen and fifteen days later, Tsar Peter I officially founded, downstream of the Neva River, in the delta, The city of Saint Petersburg. Saint Petersburg is today the second largest city in the Russian Federation and one of the largest in Europe. The city center and other monuments in its surroundings have been considered a World Heritage Site by UNESCO since 1990. Saint Petersburg is also the seat of the Contitutional Court of Russia.

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Answer:

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Answer

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nobles for providing knights

for wars.

The Roman Empire fell when

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down.

People needed safety

and protection.

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central government.

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I hope it helps you

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Answers

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Im smart like that

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Answers

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Just took the test

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Answer:

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Answers

Answer:

B

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Answers

Answer:

1. Dropping the bomb in Japan would alert the rest of the world the the US had the ability to deploy and detnate one. This took away the upper hand that  the US had and let the rest of the world consider that if it was okay for us it was okay for them which eventually resulted in the Cold War.

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Explanation:

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Answer:

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Answers

Answer:

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Explanation:

The greatest foreign policy success of the Carter presidency involved the Middle East. After the Yom Kippur War of 1973 between Israel and its Arab enemies, Egypt and Syria, the Israelis had gradually disengaged their forces and moved a distance back in the Sinai Peninsula.                                                                              .                                               HOPE IT WAS HELPFUL TO YOU

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