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3 years ago

If you buy a stock for $80 per share and sell it for $100 per share, what is the percent increase?

Mathematics

1 answer:

Tasya [4]3 years ago

3 0

I think I might be wrong but try 25% (but like I said probably wrong)

80 / 100 = 1.25

100 - 80 = 20

So, 1.25 x 20 = 25%

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Part a) The height of the ball after 3 seconds is $49\ ft$

Part b) The maximum height is 66 ft

Part c) The ball hit the ground for t=4 sec

Part d) The domain of the function that makes sense is the interval

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For t=3 sec

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Part b) What is the maximum height of the ball? Round to the nearest foot.

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$h(t)-4=-16(t^{2} -(63/16)t)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$h(t)-4-16(63/32)^{2}=-16(t^{2} -(63/16)t+(63/32)^{2})$

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Rewrite as perfect squares

$h(t)-(67,600/1,024)=-16(t-(63/32))^{2}$

$h(t)=-16(t-(63/32))^{2}+(67,600/1,024)$

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The maximum height is 66 ft

Part c) When will the ball hit the ground?

we know that

The ball hit the ground when h(t)=0 (the x-intercepts of the function)

$h(t)=-16t^{2} +63t+4$

For h(t)=0

$0=-16t^{2} +63t+4$

using a graphing tool

The solution is t=4 sec

see the attached figure

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The domain of the function that makes sense is the interval

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