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Allisa [31]
4 years ago
15

If $14871.16 = 1.957% of x, what is x?

Mathematics
2 answers:
DIA [1.3K]4 years ago
4 0

$14871.16 = 1.957% of x\

means

$14871.16 = 1.957% times x

write decimals as a decimal

$14871.16 = (0.01957)x

 /0.01957       /0.01957  

$759,895.75 = x


Lubov Fominskaja [6]4 years ago
4 0

Answer:

$14871.16 = 1.957% of x\

means

$14871.16 = 1.957% times x

write decimals as a decimal

$14871.16 = (0.01957)x

/0.01957       /0.01957  

$759,895.75 = x

Step-by-step explanation:

hope this help <3

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vertex = (0, -4)

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Step-by-step explanation:

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\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}

Substitute point (1, -1) and ah^2+k=-4 into the equation:

\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}

Equate to find h:

\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}

Substitute found value of h into one of the equations to find a:

\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}

Substitute found values of h and a to find k:

\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}

Therefore, the equation of the parabola in vertex form is:

\implies y=3(x-0)^2-4=3x^2-4

So the vertex of the parabola is (0, -4)

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