An investor bought a number of shares of stock for - id1115807, dxpebetty64

Question

Mathematics: An investor bought a number of shares of stock for $1,600. after the price dropped by $10 per share, the investor sold all but 4 of her shares for $1,120. how many shares did she originally buy?

dxpebetty64 · Accepted Answer

Using the geometric mean concept, it is found that the value of a is 18.

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The geometric mean, of a data-set of n elements, (n_1, n_2, ..., n_n) , is given by:

$G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}$

That is, the nth root of the multiplication of all elements.

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In this question:

Two elements(n = 2), a and 34. $G = 6\sqrt{17}$

Thus:

$\sqrt{34a} = 6\sqrt{17}$

We find the square of each side, so:

$(\sqrt{34a})^2 = (6\sqrt{17})^2$

$34a = 36\times17$

Simplifying both sides by 17:

2a = 36

$a = \frac{36}{2}$

a = 18

The value of a is 18.

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An investor bought a number of shares of stock for $1,600. after the price dropped by $10 per share, the investor sold all but 4 of her shares for $1,120. how many shares did she originally buy?

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