Answer:
Explanation:
To find the number of hours it takes for the prices of Stock A and Stock B to be the same, we can set up equations for their respective prices at a given time.
For Stock A:
- The initial price at 9 A.M. is $12.73.
- The price increases at a rate of $0.06 per hour.
So, the equation for the price of Stock A after "h" hours would be:
Price of Stock A = $12.73 + ($0.06 * h)
For Stock B:
- The price at noon is $13.48.
- The price decreases at a rate of $0.14 per hour.
The equation for the price of Stock B after "h" hours would be:
Price of Stock B = $13.48 - ($0.14 * h)
To find the number of hours when the prices of Stock A and Stock B are the same, we can set the two equations equal to each other:
$12.73 + ($0.06 * h) = $13.48 - ($0.14 * h)
Simplifying the equation, we get:
$0.20 * h = $0.75
To solve for "h", divide both sides of the equation by $0.20:
h = $0.75 / $0.20
Calculating the result:
h = 3.75
Therefore, it will take approximately 3.75 hours for the prices of Stock A and Stock B to be the same.