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2 years ago

Show work/ explain it

Mathematics

1 answer:

omeli [17]2 years ago

3 0

9514 1404 393

Answer:

$68.00

Step-by-step explanation:

Let s represent the opening price. Then the closing price is ...

s - 3.25% × s = $65.79

s(1 -0.0325) = $65.79 . . . . collect terms

0.9675s = $65.79 . . . . . . . simplify

s = $65.79/0.9675 . . . . . . .divide by the coefficient of s

s = $68.00 . . . . . the opening stock price

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Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?

Artemon [7]

Answer:

The equation $y=\frac{-x^2-6x+31}{8}$ represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula $d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }$ , we find that the distance between (x, y) is

$\sqrt{(x+3)^2+(y-3)^2}$

and the distance between (x, y) and the directrix y = 7 is

$\sqrt{(y-7)^2}$ .

On the parabola, these distances are equal so, we solve for y:

$\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}$

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3 years ago

] What percentage of the last 30 U.S. Presidents were inaugurated at the age of 60 or later? (Round to 1 decimal place.)

svetlana [45]

Answer:

20.0%

Step-by-step explanation:

The last 30 presidents of America starts from the 16th president, Abraham Lincoln and ends with the current and 45th president, Donald Trump.

The presidents that are 60 and above years during this period include

Donald Trump, Goerge H. W. Bush, Roland Regan, Gerald Ford, Dwight D. Eisenhower and Harry S. Truman.

Making 6 of them out of 30

The percentage is given by

Number of presidents aged 60 and above×100/Total number of presidents

6×30/100=20%

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Show work/ explain it ​

Show work/ explain it