Solve the Problem $4 - \mathrm { km }$ By 6-Km Rectangle

question 3

Multiple Choice

Solve the problem.
-A satellite camera takes a rectangular-shaped picture. The smallest region that can be photographed is a $4 - \mathrm { km }$ by 6-km rectangle. As the camera zooms out, the length 1 and width $w$ of the rectangle increase at a rate of 3 $\mathrm { km } / \mathrm { sec }$ . How long does it take for the area A to be at least 4 times its original size?

• A) \(1.61 \mathrm { sec }\)
• B) \(9.7 \mathrm { sec }\)
• C) \(4.94 \mathrm { sec }\)
• D) \(3.28 \mathrm { sec }\)

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Definitions:

Convertible Bond

This bond offers the option to be exchanged for a set amount of the company's shares at various points during its term, often at the preference of the individual holding the bond.

Straight Bond Value

The value of a bond that pays fixed interest payments until maturity and repays the principal amount without any embedded options, traded purely on interest rate and credit quality.

Convertible Bond

A convertible bond is a type of bond that the holder can convert into a specified number of shares of the issuing company, typically at certain times during its life.

Put Option

A financial contract giving the holder the right, but not the obligation, to sell a specified amount of an underlying asset at a set price within a specific time.