​Complete the Table for the Time T (In Years)necessary for P

question 50

Multiple Choice

​Complete the table for the time t (in years) necessary for P dollars to triple if interest is compounded continuously at rate r. ​​
$$\begin{array} { | l | l | l | l | l | l | l | } \hline r & 8 \% & 10 \% & 11 \% & 13 \% & 14 \% & 15 \% \\\hline t & & & & & & \\\hline\end{array}$$ (Round the answer up to two decimal places. ) ​

• A)​​ \[\begin{array} { | l | c | c | c | c | c | c | }
• \hline r & 8 \% & 10 \% & 11 \% & 13 \% & 14 \% & 15 \% \\
• \hline t & 7.32 & 7.85 & 8.45 & 9.99 & 10.99 & 13.73 \\
• \hline
• \end{array}\]
• B)​​ \[\begin{array} { | c | c | c | c | c | c | c | }
• \hline r & 8 \% & 10 \% & 11 \% & 13 \% & 14 \% & 15 \% \\
• \hline t & 13.73 & 9.99 & 10.99 & 8.45 & 7.32 & 7.85 \\
• \hline
• \end{array}\]
• C) \[\begin{array} { | c | c | c | c | c | c | c | }
• \hline r & 8 \% & 10 \% & 11 \% & 13 \% & 14 \% & 15 \% \\
• \hline t & 13.73 & 10.99 & 9.99 & 7.85 & 7.32 & 8.45 \\
• \hline
• \end{array}\]
• D) \[\begin{array} { | c | c | c | c | c | c | c | }
• \hline r & 8 \% & 10 \% & 11 \% & 13 \% & 14 \% & 15 \% \\
• \hline t & 7.32 & 7.85 & 9.99 & 8.45 & 10.99 & 13.73 \\
• \hline
• \end{array}\]
• E) \[\begin{array} { | c | c | c | c | c | c | c | }
• \hline r & 8 \% & 10 \% & 11 \% & 13 \% & 14 \% & 15 \% \\
• \hline t & 13.73 & 10.99 & 9.99 & 8.45 & 7.85 & 7.32 \\
• \hline
• \end{array}\]

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Definitions:

Expanded ROI Formula

An enhanced formula for calculating return on investment that incorporates additional financial metrics beyond net profit and investment cost.

Residual Income

The net income an investment generates above the minimum rate of return expected by managers or investors.

Imputed Interest Charge

The interest payment that tax authorities assume on a loan, even if no interest payment exists.

Responsibility Centres

Units or departments within an organization, each with specific responsibilities and performance metrics to manage financial outcomes.