the price of stock a at 9 a. m. was $13.56. since then, the price has been increasing at the rate of $0.12 each hour. at noon the price of stock b was $14.31. it begins to decrease at the rate of $0.14 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 be the same after 2.88 hours after 12 pm

Step-by-step explanation:

Price of stock A at 9 a.m.= $13.56

The price has been increasing at the rate of $0.12 each hour.

Increase in price after 3 hours =

Price of Stock A at noon= 13.56+0.36 = $13.92

Let n be the no. of hours after which the prices of both the stocks will be same .

So, Increase in price after n hours = 0.12 n

Price of Stock A after n hours = 13.92+0.12 n

Price of stock B = $14.31

The price has been decreasing at the rate of $0.14 each hour.

Let n be the no. of hours

So, Increase in price after n hours = 0.14 n

Price of Stock B after n hours =14.31-0.14 n

ATQ

Hence the prices of the two stocks be the same after 2.88 hours after 12 pm .

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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a. is correct