If P Dollars Is Invested at an Annual Interest Rate $F = P \left( 1 + \frac { r } { 100 } \right) ^ { t }$

question 116

Multiple Choice

If P dollars is invested at an annual interest rate of r %, then at t years this investment grows to F dollars, where $F = P \left( 1 + \frac { r } { 100 } \right) ^ { t }$ .Find $\frac { d F } { d t }$ .

• A) \(P t \left( 1 + \frac { r } { 100 } \right) ^ { t - 1 }\)
• B) \(\frac { P t } { 100 } \left( 1 + \frac { r } { 100 } \right) ^ { t - 1 }\)
• C) \(\left( 1 + \frac { r } { 100 } \right) ^ { t }\)
• D) \(\frac { P } { 100 } \ln \left( 1 + \frac { r } { 100 } \right) \left( 1 + \frac { r } { 100 } \right) ^ { t }\)

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Definitions:

Otoscopic Examination

A medical procedure that involves looking into the ear with an otoscope to check for illness or injury.

Ear Canal

The tubular passage leading from the outer ear to the eardrum, involved in directing sound waves to the inner ear.

Pinna

The external segment of the ear, which gathers sound waves and guides them towards the ear canal.

Acute Myocardial Infarction

A medical emergency involving the sudden blockage of a coronary artery, leading to heart muscle damage or death, commonly known as a heart attack.