20 dollars plus 5% adds a 1 dollar to get 21 dollars then 15% adds 3.15$ to get 24.15&
Answer:
400 ft
Step-by-step explanation:
h(t)= -16t^2 + 160t
The vertex is found at
h = -b/2a where b is the coefficient of t and a is the coefficient of t^2
= -160/(2*-16)
-160/-32
5
The time where the maximum occurs is at t=5
To find the maximum substitute into the function
h(5) = -16 (5)^2 +160*5
= -16*25 +800
=-400+800
= 400
The maximum height is 400 ft
The two solutions to the given quadratic equation are 2i/3, -2i/3 and they are both complex solutions.
Hence, option C is the correct answer.
<h3>What are the solutions to the quadratic equation?</h3>
Given the equation; 9x² + 4 = 0
First, we subtract 4 from both sides.
9x² + 4 = 0
9x² = -4
x² = -4/9
Take the square roots of both sides
x = ±√(-4/9)
Rewrite -4/9 as (2i/3)²
x = ±√(2i/3)²
x = ±(2i/3)
Hence,
x = 2i/3, -2i/3
Therefore the two solutions to the given quadratic equation are 2i/3, -2i/3 and they are both complex solutions.
Hence, option C is the correct answer.
Learn more about quadratic equations here: brainly.com/question/1863222
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Answer:
Step-by-step explanation:
Answer:
404.09x cm³ (to 5 s.f.),
where x is the unknown height of the shape.
Step-by-step explanation:
Volume of the shape
= base area × height
= (large semicircle- small semicircle) × thickness of shape
Area of circle= 
Area of semicircle= 
Diameter of small circle= 14
Radius= diameter ÷2
radius= 14 ÷2
radius = 7 cm
Area of small semicircle
Radius of large semicircle
= 35 ÷2
= 17.5 cm
Area of large semicircle
Base area of shape
Since the height if the shape is not given, I'm afraid I cant help you find the volume.
Let the height of the shape be x cm.
Volume of shape= 
