The price of Stock A 9 AM was $12.84. Since then, the price has been increasing at the rate of $0.07 each hourAt noon the price of Stock 8 was \$13.34 . To decrease at the rate of $0.09 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?

In 3 hours 7 minutes and 30 seconds both stocks will be same.

Step-by-step explanation:

It is given that the price of Stock A at 9 AM was $12.84. The price has been increasing at the rate of $0.07 each hour.

The price of stock B at noon was $13.34 which is decreasing at the rate of $0.09 per hour.

So, let's set up equation for each.

Price of stock A equation is

y= 0.07 x +12.84

Price of stock B equation is

y= 13.34-0.09 x

Where 'x' is number of hours.

Let's set up both equations as same to find value for x.

0.07 x+12.84= 13.34-0.09 x

Add both sides 0.09 x

0.16 x+12.84= 13.34

Subtract both sides 12.84

0.16 x = 0.5

Divide both sides by 0.16

x=3.125

Let's change the decimal to minutes.

0.125*60= 7.5 minutes

So, in 3 hours 7 minutes and 30 seconds both stocks will be same.

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm