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IgorLugansk [536]

3 years ago

5

What challenges did the Chinese face in the West?

1 answer:

IRINA_888 [86]3 years ago

7 0

On the silk road it would be sand storms but normaly it would be invading dynasties

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Which of the following was a method of negotiation developed by President Eisenhower's Secretary of State, John Foster Dulles?

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Brinkmanship was a method of negotiation developed by President Eisenhower's Secretary of State John Foster Dulles.

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PLS PLS HELP WW2 Adolf Hitler broke the Treaty of Versailles in at least seven ways. What are three of them?

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3 years ago

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

V125BC [204]

Answer:

3000 invested in stock A

2000 invested in stock B

Explanation:

Given

$r_A = 5.2\%$ --- rate of stock A

$r_B = 12.8\%$ --- rate of stock B

$A = 5000$ --- Amount invested

$Total = 5412$ ---- Value of stock

Required

Determine the amount invested in each

Let

$x \to$ Amount invested in A

$y \to$ Amount invested in B

So:

$x + y = A$

$x + y = 5000$

Make x the subject

$x = 5000- y$

The gain on stock A is:

$A_{New} = x * r_A$

$A_{New} = (5000 - y) * 5.2\%$

$A_{New} = (5000 - y) * 0.052$

$A_{New} = 260 - 0.052y$

The gain on stock B is:

$B_{New} = y * r_B$

$B_{New} = y* 12.8\%$

$B_{New} = y* 0.128$

$B_{New} = 0.128y$

So, we have:

$A_{New} + B_{New} = Total - A$ ----- i.e. total gain on both stocks

$260 -0.052y+0.128y = 5412 -5000$

$260 -0.052y+0.128y = 412$

Collect like terms

$-0.052y+0.128y = 412-260$

$0.076y = 152$

Solve for y

$y = 2000$

To solve for x, we have:

$x = 5000- y$

$x = 5000 - 2000$

$x = 3000$

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