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Yanka [14]
3 years ago
5

In 2005, admission to the Grandin Museum cost $4.00. The cost increased by 12.5% in 2006. At the beginning of 2007, it increased

again by 10%. What was the cost of admission to the museum in 2007?
Mathematics
1 answer:
Allushta [10]3 years ago
5 0
$4 × (1 +.125) × (1 +.10) = $4.95
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Given:

Vertex ===> (h, k) (2, 4)

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To find the equation, use the general equation of a parabola with vertex (h, k):

y=a(x-h)^2+k_{}

Where:

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Substitute values into the general equation:

\begin{gathered} 6=a(3-2)^2+4 \\  \\ 6=a(1)^2+4 \\  \\ 6=a+4 \end{gathered}

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\begin{gathered} 6-4=a+4-4 \\  \\ 2=a \\  \\ a=2 \end{gathered}

Substitute 2 for a, and input the values of the vertex (h, k) in the general vertex equation:

y=2(x-2)^2+4

Therefore, the equation of the parabola is:

y=2(x-2)^2+4

ANSWER:

y=2(x-2)^2+4

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