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3 years ago

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3. Marilyn purchased 400 shares of stock for $22.75 per

1 answer:

Mazyrski [523]3 years ago

6 0

The percent gain is 52.1%

Step-by-step explanation:

Given

Purchase price of one share = $22.75

Sale price of one share = $34.60

Total shares = 400

So,

Total purchase price of shares = 22.75*400 = $9100

Total sale price of shares = 34.60*400 = $13840

Total capital gain:

$= Sale\ price - Purchase\ price\\= 13840 - 9100\\=4740$

Percent capital gain is given by:

$Capital\ gain = \frac{Capital\ gain}{Purchase\ price} * 100\\= \frac{4740}{9100} * 100\\=0.5208*100\\=52.08$

Rounding off to nearest tenth

52.1%

Hence,

The percent gain is 52.1%

Keywords: Percentage, capital gain

Learn more about percentage at:

#LearnwithBrainly

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Learning Task 3

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Answer:

1. The sides are: 38.5, 39.5, 40.5 and 41.5

2. Presently, Inzo is 15 years old and Miz is 10 years old

3. $Distance = 3682km$

4. Possible pairs are: (12, 14), (16, 18) and (20, 24)

5. $L < 38m$

Step-by-step explanation:

The question has lots of missing details. See the comment section for complete question

Solving (a):

Given

Shape: Quadrilateral

Sides: Consecutive

$Perimeter = 160$

Let one of the sides be x. The other sides will be x + 1, x + 2 and x + 3.

So, the perimeter is:

$Perimeter = x + x + 1 + x + 2 + x + 3$

This gives:

$160 = x + x + 1 + x + 2 + x + 3$

Collect Like Terms

$160 -1-2-3= x+x+x+x$

$154= 4x$

Divide both sides by 4

$38.5 = x$

$x =38.5$

<em>So, the sides are: 38.5, 39.5, 40.5 and 41.5</em>

<em></em>

Solving (b):

Given

Presently: $Inzo = 10 + Miz$

Five years ago: $Miz - 5= \frac{1}{3} * (Inzo-5)$ --- (Missing from the question)

Required: Determine their present ages

Substitute $10 + Miz$ for Inzo in the second equation

$Miz - 5 = \frac{1}{3} * (10 + Miz - 5)$

$Miz - 5 = \frac{1}{3} * (Miz + 5)$

Multiply both sides by 3

$3Miz - 15 = Miz + 5$

Collect Like Terms

$3Miz -Miz = 15 + 5$

$2Miz= 20$

Divide both sides by 2

$Miz = 10$

Substitute 10 for Miz in $Inzo = 10 + Miz$

$Inzo = 10 + 5$

$Inzo = 15$

<em>So presently, Inzo is 15 years old and Miz is 10 years old</em>

Solving (3):

Given

Express Train:

$Speed = 100kph$

$Time = t$

Local Train:

$Speed = 45kph$

$Time = t + 45$

Required: Determine the distance between A and B

Distance is calculated as:

$Distance = Speed * Time$

For the express train:

$Distance = 100 * t$

For the local train

$Distance = 45 * (45 + t)$

Distance between both stations are equal; So,

$100 * t = 45 * (45 + t)$

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Collect Like Terms

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Divide by 55

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$Distance = 100 * 36.82$

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Sum less than 60: $n + n + 2 < 60$

So, we have:

$n + n + 2 > 24$

$2n + 2 > 24$

Collect Like Terms

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$2n > 22$

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$2n + 2< 60$

Collect Like Terms

$2n < 60-2$

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Divide by 2

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$n > 11$ and $n < 29$

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