The price of stock A at 9 am was $16.15 since then the price has been increasing at the rate of $0.06 each hour at noon the pric
e of stock B was $16.90 it begins to decrease at the rage od $0.12 Each hour if the two rates continue in how many hours will the prices of two stocks be the same
1 answer:
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Answer:
6 1/6 hours after 9 am, or 3 1/6 hours after noon
Step-by-step explanation:
If we count time (x) in hours after 9 am, the stock prices will be ...
A = 16.15 +0.06x
B = 16.90 -0.12(x -3)
The value of x when A = B can be found from ...
A = B
16.15 +0.06x = 16.90 -0.12(x -3)
0.18x = 1.11 . . . . . . . . add 0.12x-16.15
x = 6.16666...(repeating) = 6 1/6
6 1/6 hours after 9 am, the prices will be the same. That is 3 1/6 hours after noon.
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The attached graph shows the time as military time: 15.167. That's 3:10 pm, or 6 1/6 hours after 9 am.
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