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Kazeer [188]
3 years ago
9

The table shows the value of Susie's bank account during a 5-year period. At what rate has her account value been growing?

Mathematics
2 answers:
Finger [1]3 years ago
8 0
A) $16,000 per year
Talja [164]3 years ago
4 0
The value of Susie's account increases by $4,000 a year.
8,000 + 4,000 = 12,000; 12,000 + 4,000 = 16,000; 16,000+ 4,000 = 20,000; and 20,000 + 4,000 = 24,000.
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ololo11 [35]

Answer:

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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:

<u><em>Step(i):-</em></u>

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}

<em> The rocket hit the ground at     </em>x = \frac{5}{4}<em></em>

<u><em>Step(ii):</em></u>-

    \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

<em>The maximum height of the rocket = 12.468 feet</em>

       

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Step-by-step explanation:

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3 years ago
X+5=3x-1 what’s the answer ?
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Answer:

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Step-by-step explanation:

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