After 1.842 hours the price of Stock A and Stock B will be the same using a set of linear equations.
A grouping of one or more linear equations containing the same variables is known as a system of linear equations.
For Stock A :
The initial price = $15.03
The rate of increase = $0.05
For Stock B :
The rate of decrease = $15.53
The rate of decrease per hour = $0.13
Then the price of stock A at noon will be:
$ 15.03 + $ (0.05 × 3) = $ 15.03 + $ 0.15 = $15.18
The period of time during which the stock price will remain constant:
15.18 + 0.05t = 15.53 - 0.14t
Simplifying the terms we get,
0.05t + 0.14t = 15.53 - 15.18
0.19t = 0.35
t = (0.35 ÷ 0.19) hours
t = 1.842 hours
Therefore, the stocks will be of equal price after 1.842 hours.
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