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chutchins0406
07.04.2020 •
Business
Rachel Dawkins has $26,000 invested in stock A and stock B. Stock A currently sells for $50 a share and stock B sells for $60 a share. If stock B doubles in value and stock A goes up 50%, her stock will be worth $42,000. How many shares of each stock does she own?
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Ответ:
The Stock A = 400 and Stock B = 100
Explanation:
From the question given, we solve the problem as stated
Rachel invested $26,000 in stock A and stock B at prices of $50 and $60 respectively.
The first equation is given as:
26,000 = A50 + B60
Then,
After a while, the stock A increases by 50% this means that,
the value of stock A currently is (50 x 150%) = $75
The stock B increases in value this means,
The current value of stock B is (60 x 2) = $120
The total stock both are worth is $42,000.
Thus,
The second equation becomes:
42,000 = A75 + B120
We now have 2 equations.
The Equation 1 is denoted as:
26,000 = A50 + B60 (equation 1)
The equation 2 is denoted as:
42,000 = A75 + B120 (equation 2)
To Further solve this, we multiply equation 1 by -2,
Which is,
(-2 x 26,000) = (-2 x A50) + (-2 x B60)
52,000 = -A100 - B120 (equation 3)
Solve equation 2 and 3 to get the value of A:
42,000 = A75 + B120
-52,000 = -A100 - B120
-10,000 = -A25
A = -10,000/-25
A= 400
Substitute the value of A in any of the equation to get B,
So,
26,000 = A50 + B60
26,000 = (400)50 + B60
26,000 = 20,000 + B60
B60 = 26,000 - 20,000
B60 = 6,000
B = 6,000/60
Therefore, B = 100
Ответ:
The industry description section
Explanation: