Write a Differential Equation Describing the Given Situation $\frac { d Q } { d t } = 0.03 Q$

question 7

Multiple Choice

Write a differential equation describing the given situation.Define all variables you introduce.(Do not try to solve the differential equation at this time.) An investment grows at a rate of 3% of its size.

• A)Let Q denote the investment and let t denote time; \(\frac { d Q } { d t } = 0.03 Q\)
• B)Let Q denote the investment and let t denote time; \(\frac { d Q } { d t } = 0.03 t\)
• C)Let Q denote the investment and let t denote time; \(\frac { d Q } { d t } = 0.3 Q\)
• D)Let Q denote the investment and let t denote time; \(\frac { d Q } { d t } = 3 Q\)

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Definitions:

Non Est Factum

A legal defense claiming a contract is invalid due to a serious misunderstanding or mistake about its nature or terms.

Negotiable Instruments

Financial documents that guarantee the payment of a specific amount of money, either on demand or at a set time, with the payee able to transfer it to another holder.

Non Est Factum

A legal defense meaning "it is not my deed" used when a person signed a document mistakenly or under a fundamental misunderstanding.

Foreclosure

A legal process by which a lender attempts to recover the balance of a loan from a borrower who has stopped making payments by forcing the sale of the asset used as the collateral for the loan.