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vazorg [7]
3 years ago
12

A person has ​$28,000 invested in stock A and stock B. Stock A currently sells for ​$50 a share and stock B sells for ​$60 a sha

re. If stock B triples in value and stock A goes up​ 50%, his stock will be worth ​$69,000. How many shares of each stock does he​ own?
Mathematics
1 answer:
Iteru [2.4K]3 years ago
8 0

Answer:

Number of stock A = 200

Number of stock B = 300

Step-by-step explanation:

Let :

Number of stock A shares = a

Number of stock B shares = b

Worth of stock A = 50 * a = 50a

Worth of stock B = 60 * b = 60b

50a + 60b = 28000 - - - (1)

Triple the value of stock B:

3 * 60 = 180

Value of stock A goes up by 50%

(100 + 50)% * 50 = 1.5 * 50 = 75

75a + 180b = 69000 - - - (2)

50a + 60b = 28000

75a + 180b = 69000

Multiply equation 1 by 3 and subtract

150a + 180b = 84000

75a + 180b = 69000

75a = 15000

a = 15000/75

a = 200

75(200) + 180b = 69000

15000 + 180b = 69000

180b = 69000 - 15000

180b = 54000

b = 300

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3 0
2 years ago
What is the property for 16=16
mestny [16]

Answer:

Reflexive property

Step-by-step explanation:

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3 0
3 years ago
What will the volume of the box be if you cut 1 inch by 1 inch squares out of each corner (Notice that you have to subtract 1 in
kaheart [24]

Answer:

324 cubic inches

Step-by-step explanation:

The dimensions are now 18 x 18 x 1, since you are cutting an inch off each side.

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7 0
2 years ago
A right rectangular prism has a volume of 470.40 cm³. The length of the solid is 6.4 cm and the width is 9.8 cm. What is the hei
andrezito [222]
<em>If a rectangular prism has a volume of 470.40 cm</em><span><em>³, and the length and width is equal to 6.4 and 9.8, we will find the height by using some inverse operations. We will use the variable h to represent height</em>

<em>Length x Width x Height = Volume</em>
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<em>470.40 ÷ (9.8 x 6.4)</em>
<em>     = 470.40 ÷ 62.72</em>
<em>     = 7.5</em>


<em>Check Answer:</em>
</span><em>Length x Width x Height = Volume</em>
<em>6.4 cm • 9.8 cm `• 7.5 = 470.40</em>


<u>Answer: 7.5 cm</u>
3 0
3 years ago
the high temperature in Alaska in December was 30 f and the low temperature was -2 f. what is the difference between the high an
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Step-by-step explanation:

The question says difference so we subtract the two following temperatures 30 and -2 which would be 28 degreees.

3 0
3 years ago
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