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Nana76 [90]
3 years ago
11

Suppose there is a simple index of three stocks, stock X, stock Y, and stock Z. stock X opens the day with 2000 shares at $3.80

per share. Stock Y opens the day with 1000 shares at $3.50 per share. Stock Z opens the day with 3000 shares at $4.30 per share. This simple index rises 5.4% over the course of the day. What is the value of the index at the end of the day? Round your answer to the nearest hundred
Mathematics
2 answers:
Inessa [10]3 years ago
8 0

Answer: $25,300  is the answer APEX

Yuliya22 [10]3 years ago
6 0
This is a question written by someone who doesn't know much about finance.  We wouldn't usually talk about shares of an index member, but perhaps the weight of each member in an index, i.e. a cap weighting or a price weighting.  We would talk about shares of stock in a portfolio; let's substitute portfolio for index and interpret the question that way.

We'd also usually talk about the change in the stock prices from the close of the previous day, not usually from today's open. OK, enough correcting the question.

So at the open we're long 2000 X @ 3.80, 1000 Y @ 3.50 and 3000 Z @ 4.30.  The value of this portfolio at the open is

2000  \times 3.80 +  1000 \times 3.50 + 3000  \times 4.30 = \$24,000

At the end of the day we're told we've made 5.4% so our portfolio is valued at

24,000 \times 1.054 = \$25,296 \approx \$25,300

5.4% is what pros call a good day.
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Marlina received her salary on Friday. She spent one-half of her salary on rent and then spent $338 on her electric and water bi
Alenkinab [10]

Answer:

$654

Step-by-step explanation:

Let the amount of money Marlina's received for her salary be x.

We know that she spent 1/2 of her salary on rent and then $338 on her electric and water bill. So, after this, she will have:

x-\frac{1}{2}x-338

Left of her salary.

Next, she spent one half of what was left. So, it will be one-half of the equation. Therefore, she will have spent:

x-\frac{1}{2}x-338-\frac{1}{2}(x-\frac{1}{2}x-338)

Finally, she spent $56 for gas. So, we will subtract 56:

x-\frac{1}{2}x-338-\frac{1}{2}(x-\frac{1}{2}x-338)-56

And we know that after all of the expenses, she will have $102 left. Therefore:

x-\frac{1}{2}x-338-\frac{1}{2}(x-\frac{1}{2}x-338)-56=102

We want to know how much Marlina spent on rent. So, let's find her salary x first.

First, let's distribute the 1/2:

x-\frac{1}{2}x-338-\frac{1}{2}x+\frac{1}{4}x+169-56=102

Combine like terms:

(x-\frac{1}{2}x-\frac{1}{2}x+\frac{1}{4}x)+(-338+169-56)=102

Evaluate:

\frac{1}{4}x-225=102

Add 225 to both sides:

\frac{1}{4}x=327

Multiply both sides by 4:

x=\$ 1308

Therefore, Marlina received a total of $1308 for her salary.

We know that she spent half of her salary on rent. Therefore, the amount she spent on rent is:

r=\frac{1}{2}(1308)=\$ 654

And we're done!

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Answer: is very simple 26

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