Question

Challenge The price of Stock A at 9 A.M. was $12.91. Since then, the price has been increasing at the rate f $0.13 each hour. At noon the price of Stock B was $13.66. It begins to decrease at the rate of $0.09 -ach hour. If the two rates continue, in how many hours will the prices of the two stocks be the same

please help and Thank you

Answer 1

We can use the following formulas to find the price of Stock A and Stock B at different times:

Price of Stock A at time t = 12.91 + 0.13 * t

Price of Stock B at time t = 13.66 - 0.09 * t

To find the time at which the prices of the two stocks are equal, we can set the two formulas equal to each other and solve for t:

12.91 + 0.13 * t = 13.66 - 0.09 * t

0.24 * t = 0.75

t = 3.125

Since the two rates are given in hours, t must be expressed in hours. Since 3.125 is not a whole number of hours, we can round it up to the next whole number of hours, which is 4 hours. Therefore, it will take 4 hours for the prices of the two stocks to be the same.