There Is a Theory That Says the Rate at Which $\frac{d p}{d t}$

question 6

Multiple Choice

There is a theory that says the rate at which information spreads by word of mouth is proportional to the product of the number of people who have heard the information and the number who have not.Suppose the total population is N.Which of the following differential equations describe the rate, $\frac{d p}{d t}$ , at which the information spreads by word of mouth?

• A) \(\frac{d p}{d t}=\frac{k p}{(p-N)}\)
• B) \(\frac{d p}{d t}=k p(N+p)\)
• C) \(\frac{d p}{d t}=\frac{k p}{(N-p)}\)
• D) \(\frac{d p}{d t}=k p(N-p)\)

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Definitions:

Accrued Interest

Accrued interest is the interest that has accumulated on a loan or bond but has not yet been paid. It is recognized in the accounting records before the payment is made.

Interest on Loan

The cost incurred by borrowing money, calculated as a percentage of the principal loan amount.

Asset Account

An Asset Account is a financial record that tracks the value of a company’s tangible and intangible properties, like buildings, cash, or intellectual property.

Revenue Account

An account that tracks the income generated by a business from its normal operations.