​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:

REM Sleep

A sleep phase characterized by rapid eye movement, during which dreams often occur, and the body experiences decreased muscle tone.

Dreaming

A collection of mental images, ideas, and emotional experiences that happen during sleep.

Brain Waves

The rhythmic or repetitive patterns of neural activity in the brain, measurable by electroencephalography (EEG).

Frequency

The number of times an event occurs within a specified period of time; in physics, it is the number of waves that pass a fixed point per unit of time.