A volleyball player sets the ball in the air, and the height of the ball after t seconds is given in feet by h= -16^2+12t+6. A t
eammate wants to wait until the ball is 8 feet in the air before she spikes it. When should the teammate spike the ball? How many reasonable solutions to this problem are there?
1 answer:
Answer:
Step-by-step explanation:
The given function is
The graph of this function is a parabola that opens downwards
The line intersects this parabola, when
The teammate can spike the ball after 0.25 seconds or 0.5 seconds.
The two solutions are reasonable. When the volleyball is accelerating into the air, it passes a height of 8 after 0.25 seconds.
When the ball is dropping after it attains maximum height, it attains another height of 8 after 0.5 seconds again.
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Answer :
Length of rectangle = 14m
Width of rectangle = 12m
Explanation :
p = 2l + 2w = 68
l = w + 2
Substitute:
68 = 2(w + 2) + 2w
68 = 2w + 4 + 2w
4w = 64
w = 16
l = 18
I hope this helped out, have a nice day! :D
(P.s. Both taken from source)
Length of rectangle = 14m
Width of rectangle = 12m
Explanation :
p = 2l + 2w = 68
l = w + 2
Substitute:
68 = 2(w + 2) + 2w
68 = 2w + 4 + 2w
4w = 64
w = 16
l = 18
I hope this helped out, have a nice day! :D
(P.s. Both taken from source)
The formula for compound interest is written as 
, where <em>P </em>is the principal (initial amount), <em>r</em> is the rate of interest, <em>n</em> is the number of times it's compounded per year, and <em>t</em> is the time in years. With the values from this problem plugged in, it looks like:
Since you're trying to find when your money will double, put 8000 for <em>A </em>and solve for <em>t</em><em /> :
It will take approximately 14.21 years, or about 14 years, 2 months, and 16 days, for the money to double.
Since you're trying to find when your money will double, put 8000 for <em>A </em>and solve for <em>t</em><em /> :
It will take approximately 14.21 years, or about 14 years, 2 months, and 16 days, for the money to double.