Respuesta :
Answer:
The prices of the two stocks will be the same in 1.56 hours.
Step-by-step explanation:
The price of Stock A at 9 A.M. was $12.95 Since then, the price has been increasing at the rate of $0.12 each hour.
This means that after x hours, the value of Stock A is:
[tex]S_{A}(x) = 12.95 + 0.12x[/tex]
After noon:
Noon is 3 hours after 9 AM, so
[tex]S_{A}(3) = 12.95 + 0.12*3 = 13.31[/tex]
So in x hours after noon, the value is given by:
[tex]S_{A}(x) = 13.31 + 0.12x[/tex]
At noon the price of Stock B was $13.70. It begins to decrease at the rate of $0.13 each hour.
This means that after x hours, the value of Stock B is:
[tex]S_{B}(x) = 13.70 - 0.13x[/tex]
In how many hours will the prices of the two stocks be the same?
This is x for which:
[tex]S_{A}(x) = S_{B}(x)[/tex]
[tex]13.31 + 0.12x = 13.70 - 0.13x[/tex]
[tex]0.25x = 0.39[/tex]
[tex]x = \frac{0.39}{0.25}[/tex]
[tex]x = 1.56[/tex]
The prices of the two stocks will be the same in 1.56 hours.
