Set Up the System of Equations and Then Solve It

question 189

Multiple Choice

Set up the system of equations and then solve it by using inverse matrices. ​
Bee ancestry Because a female bee comes from a fertilized egg and a male bee comes from an unfertilized egg, the number of ancestors of a male t + 2 bee generations before the present generation is the sum of the number of ancestors t and t + 1 generations before the present. If the numbers of ancestors of a male bee in a given generation t and in the previous generation are given by , then there is a matrix M such that the numbers of ancestors in the two generations preceding generation t are given by .
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For a given male bee, the numbers of ancestors 5 and 6 generations back are given by .
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Find the numbers of ancestors 4 and 5 generations back by multiplying both sides of by the inverse of M.
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Definitions:

Sustainable Growth Rate

The maximum rate at which a company can grow its revenues and profits without needing to increase financial leverage.

Debt-Equity Ratio

An indicator of a firm's use of financial debt, found by dividing the total amount of liabilities by the equity owned by stockholders.

Retention Ratio

The proportion of net income that is retained in the company rather than paid out to shareholders as dividends.

Growth Rate

A measure of the increase in size, number, value, or strength of a business or other entity's key metric over a specified period of time.