What Value Of $x$ Gives the Minimum Value Of $( x - 8 ) e ^ { x } + 4 x ^ { 2 } - 56 x + 1301.63 ?$

question 48

Multiple Choice

What value of $x$ gives the minimum value of $( x - 8 ) e ^ { x } + 4 x ^ { 2 } - 56 x + 1301.63 ?$ Consider only positive $x$ -values.

• A) \(x = 9\)
• B) \(x = 616\)
• C) \(x = 7\)
• D) There is no solution.

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Definitions:

Capital Gain Distributions

The payment of proceeds realized from the sale of an asset held in a mutual fund or ETF, distributed to investors as a taxable distribution.

Income Distributions

Payments, often periodic, received by investors from assets they own, such as dividends from stocks or interest from bonds.

Rate of Return

The increase or decrease in the value of an investment during a set period, represented as a proportion of the investment's original price.