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. At noon the price of Stock B was $13.70. It begins to decrease at the rate of $0.13 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?

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:

After noon:

Noon is 3 hours after 9 AM, so

So in x hours after noon, the value is given by:

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:

In how many hours will the prices of the two stocks be the same?

This is x for which:

The prices of the two stocks will be the same in 1.56 hours.

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step-by-step explanation: