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2 years ago

I want to buy a car that cost 36,718 I also have a 9% sales tax to keep in mind

Mathematics

1 answer:

Westkost [7]2 years ago

3 0

Answer:

40,022.62

Step-by-step explanation:

9% of 36,718=3304.62

36,718+3304.62=40,022.62

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soldi70 [24.7K]

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7157

Step-by-step explanation:

Answer is 7157

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3 years ago

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If tim spends 1/3 each weekday sleeping and about 7/24 each weekday in school what fraction of a weekday does Tim spend either s

Ganezh [65]

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3 years ago

F of x equals 8 plus 2x eminus x squared

maria [59]

Answer:

Step-by-step explanation:

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3 years ago

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Solve: -(1/4)m + 5 = 16

liq [111]

Answer:

m=-44

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3 years ago

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Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is

Mamont248 [21]

Answer:

1)The rocket hit the ground at $x = \frac{5}{4}$

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

Step(i):-

Given equation

y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

$\frac{dy}{dx} = -2( 2x) +5(1) = -4x +5$

Equating zero

$\frac{dy}{dx} = 0$

⇒ -4 x +5 =0

⇒ -4 x = -5

⇒ $x = \frac{5}{4}$

The rocket hit the ground at $x = \frac{5}{4}$

Step(ii):-

$\frac{dy}{dx} = -4x +5$ ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

$\frac{d^{2} y}{dx^{2} } = - 4(1)$

The maximum height at x = $\frac{-5}{4}$

y = -2 x² + 5 x + 7

$y = -2 (\frac{5}{4})^{2} + 5 (\frac{5}{4} ) + 7$

$y = \frac{-2(25)+ 25 (16)+7(64)}{64}$

$y = \frac{798}{64} = 12.468 feet$

The maximum height of the rocket = 12.468 feet

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3 years ago