Question

The price of Stock A at 9 A.M. was ​$12.31. Since​ then, the price has been increasing at the rate of ​$0.06 each hour. At noon the price of Stock B was ​12.81$. It begins to decrease at the rate of $​0.11 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Answer 1

Answer: 2 hours and 56 minutes for the prices of Stock A and Stock B to be the same.

Step-by-step explanation:

Price of Stock A = $12.31 + ($0.06 * h)

Price of Stock B = $12.81 - ($0.11 * h)$12.31 + $0.06h = $12.81 - $0.11h

(Add $0.11h to both sides) : $12.31 + $0.17h = $12.81

(Subtract $12.31 from both sides) : $0.17h = $0.50

(Divide both sides by $0.17) : h = $0.50 / $0.17

(Simplify the right side) : h=2.94In conclusion, it will take approximately 2.94 hours (or 2 hours and 56 minutes) for the prices of Stock A and Stock B to be the same.

Answer 2

2 hours and 56 minutes for the prices of Stock A and Stock B to be the same.

Explanation:

Price of Stock A = $12.31 + ($0.06 * h)

Price of Stock B = $12.81 - ($0.11 * h)

$12.31 + $0.06h = $12.81 - $0.11h

(Add $0.11h to both sides) : $12.31 + $0.17h = $12.81

(Subtract $12.31 from both sides) : $0.17h = $0.50

(Divide both sides by $0.17) : h = $0.50 / $0.17

(Simplify the right side) : h=2.94

In conclusion, it will take approximately 2.94 hours (or 2 hours and 56 minutes) for the prices of Stock A and Stock B to be the same.