If P Dollars Are Invested at the End of Each $n = \frac { \log \left[ \frac { A r } { p } + 1 \right] } { \log ( 1 + r ) }$

question 6

Multiple Choice

If P dollars are invested at the end of each year in an annuity that earns interest at an annual rate r, the amount in the account will be A dollars after n years, where $n = \frac { \log \left[ \frac { A r } { p } + 1 \right] } { \log ( 1 + r ) }$ If $S 5,000$ is invested each year in an annuity earning $9 \%$ annual interest, when will the account be worth $\$ 40,000$ ?

• A) \(\quad 2.9\) years
• B) \(\quad 6.3\) years
• C) \(\quad 14.5\) years
• D) \(\quad -3.8\) years
• E) \(\quad 8.0\) years

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Definitions:

Selling Expenses

Costs incurred directly and indirectly in making sales, including salaries, commission, advertising, and promotional materials.

Administrative Expenses

Operating expenses not directly tied to the production of goods or services, such as salaries of administrative staff, office supplies, and utilities.

Contribution Margin

The amount by which sales revenue exceeds variable costs. It represents the portion of sales that helps to cover fixed costs.

Bottleneck Hour

The time period in a production process where the flow is constricted due to limitations in capacity or resources, causing delays.