If $e ^ { x }$ $)^2$ ∙ $\mathrm { e } ^ { 2 x }$

question 4

Multiple Choice

If ( $e ^ { x }$ $) ^2$ ∙ $\mathrm { e } ^ { 2 x }$ ∙ e = $\frac { 1 } { e ^ { 2 } }$ , find x.

• A) -2
• B) -1 or -2
• C) - \(\frac { 3 } { 4 }\)
• D) - \(\frac { 2 } { 5 }\)
• Differentiate.

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Definitions:

Compounded Monthly

Interest on an investment is calculated and added to the principal balance every month.

Annual Contributions

Regular payments made into a retirement account, investment fund, or savings plan on a yearly basis.

Compounded Semi-annually

The calculation of interest on the initial investment plus any accumulated interest from previous periods, done twice a year.

Retirement Fund

A pool of funds accumulated during an individual's working life, intended to provide financial security upon retirement.