Suppose That the Value of a Certain Investment After T $f ( t ) = 100,000 e ^ { 0.12 t ^ { 2 / 3 } }$

question 27

Short Answer

Suppose that the value of a certain investment after t years can be approximated by the function $f ( t ) = 100,000 e ^ { 0.12 t ^ { 2 / 3 } }$ What is the dollar value of the investment after 8 years?
Enter your answer exactly in the form: a $\mathrm { e } ^ { \mathrm { b } }$ where a is an integer and b is a real number to two decimal places (no units).

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Definitions:

Geometric Mean

A mean or average which indicates the central tendency or typical value of a set of numbers by using the product of their values (as opposed to the arithmetic mean which uses their sum).

Median

A statistical measure that represents the middle value of a dataset when it's ordered from smallest to largest.

Mode

The value that appears most frequently in a data set.

Deviations

Differences between observed values and the average or expected values in a data set.