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Nookie1986 [14]
2 years ago
11

What would the total bill be of a painting that costs $42.80 with a tax rate of 8%. Please explain how you got the answer.

Mathematics
2 answers:
Ainat [17]2 years ago
6 0
(whole)+(taxrate)=(total)
100%+8%=108% or 1.08


42.80*1.08=46.224 or $46.22

Answer= $46.22
Pachacha [2.7K]2 years ago
5 0
The answer is $46.22, you do $42.80 plus 8% on a calculator

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S(t) = -16t^2+96t+256 the quadratic function models the balls height above the ground, s(t), in feet, t seconds after it was thr
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Answer:

The ball reaches maximum height in 3 seconds.

The maximum height of the ball is of 400 feet.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

f(x) = ax^{2} + bx + c

It's vertex is the point (x_{v}, f(x_{v})

In which

x_{v} = -\frac{b}{2a}

If a<0, the vertex is a maximum point, that is, the maximum value happens at x_{v}, and it's value is f(x_{v})

In this question:

The height is modeled by:

s(t) = -16t^2 + 96t + 256

So, the coefficients are:

a = -16, b = 96, c = 256

Instant of time the ball reaches maximum height:

t_{v} = -\frac{96}{2(-16)} = -\frac{96}{-32} = 3

The ball reaches maximum height in 3 seconds.

What is the maximum height of the ball?

This is s(3).

s(3) = -16t^2 + 96t + 256 = -16*3^2 + 96*3 + 256 = 400

The maximum height of the ball is of 400 feet.

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