When Interest Is Compounded Continuously, the Rate of Change of the Amount

question 77

Multiple Choice

When interest is compounded continuously, the rate of change of the amount x of the investment is proportional to the amount present. In this case, the proportionality constant is the annual interest rate r (as a decimal) ; that is, . If $2,500 is invested at 7%, compounded continuously, what will be the future value of this investment after 12 years? Round to the nearest cent. ​

• A) $4,600.00
• B) $5,776.80
• C) $5,630.48
• D) $5,708.32
• E) $5,790.92

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Definitions:

Jugular Vein Distention

The abnormal swelling of the jugular vein, often indicative of heart or circulation issues.

Neck Vein Visible

The appearance of veins in the neck, often more pronounced due to strain, increased blood volume, or heart conditions.

Sitting Position

A body posture involving the torso being more or less upright and the body being supported by the buttocks in contact with the ground or a seat.

Arterial Problems

Conditions affecting the arteries, including blockages and narrowing that can lead to cardiovascular issues.