Suppose M Is Jointly Proportional to X and Y and Inversely

question 30

Essay

Suppose M is jointly proportional to x and y and inversely proportional to the square
of z. If x is doubled, y is decupled, and z is tripled, is the value of M changed, and if
so, by what factor?

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Definitions:

Retained Earnings

The portion of net income not distributed as dividends but retained by the company to reinvest in its core business or to pay debt.

Stock Split

A corporate action where a company divides its existing shares into multiple shares to boost the liquidity of the shares, though the overall market capitalization remains the same.

Pre-split Price

Refers to the stock price of a company before it undergoes a stock split, a process that increases the number of shares while reducing the price per share without affecting the company's overall market capitalization.

Post-split Price

The value of an individual share after a company has completed a stock split.