Complete the Following Chart, Which Illustrates What Happens to $16,000

question 16

Multiple Choice

Complete the following chart, which illustrates what happens to $16,000 invested at various rates of interest for different lengths of time but always compounded continuously. Round your answers to the nearest dollar. $$\begin{array} { | c | c | c | c | c | } \hline & \mathbf { 8 } \% & \mathbf { 1 0 } \% & \mathbf { 1 2 } \% & \mathbf { 1 4 } \% \\\hline 5 \text { years } & & & & \\\hline 8 \text { years } & & & & \\\hline 11 \text { years } & & & & \\\hline 14 \text { years } & & & & \\\hline 17 \text { years } & & & & \\\hline\end{array}$$

• A) \(\begin{array} { | c | c | c | c | c | }
• \hline & \mathbf { 8 } \% & \mathbf { 1 0 } \% & \mathbf { 1 2 } \% & \mathbf { 1 4 } \% \\
• \hline 5 \text { years } & 23869 & 26380 & 29154 & 32220 \\
• \hline 8 \text { years } & 30344 & 35609 & 41787 & 49038 \\
• \hline 11 \text { years } & 38574 & 48067 & 59895 & 74633 \\
• \hline 14 \text { years } & 49038 & 64883 & 85849 & 113589 \\
• \hline 17 \text { years } & 62339 & 87583 & 123050 & 172878 \\
• \hline
• \end{array}\)
• B) \(\begin{array} { | c | c | c | c | c | }
• \hline & \mathbf { 8 } \% & \mathbf { 1 0 } \% & \mathbf { 1 2 } \% & \mathbf { 1 4 } \% \\
• \hline 5 \text { years } & 32220 & 29154 & 26380 & 23869 \\
• \hline 8 \text { years } & 49038 & 41787 & 35609 & 30344 \\
• \hline 11 \text { years } & 74633 & 59895 & 48067 & 38574 \\
• \hline 14 \text { years } & 113589 & 85849 & 64883 & 49038 \\
• \hline 17 \text { years } & 172878 & 123050 & 87583 & 62339 \\
• \hline
• \end{array}\)
• C) \(\begin{array} { | c | c | c | c | c | }
• \hline & \mathbf { 8 } \% & \mathbf { 1 0 } \% & \mathbf { 1 2 } \% & \mathbf { 1 4 } \% \\
• \hline 5 \text { years } & 47738 & 52759 & 58308 & 64440 \\
• \hline 8 \text { years } & 60687 & 71217 & 83574 & 98075 \\
• \hline 11 \text { years } & 77149 & 96133 & 119789 & 149267 \\
• \hline 14 \text { years } & 98075 & 129766 & 171698 & 227178 \\
• \hline 17 \text { years } & 124678 & 175166 & 246099 & 345757 \\
• \hline
• \end{array}\)
• D) \(\begin{array} { | c | c | c | c | c | }
• \hline & \mathbf { 8 } \% & \mathbf { 1 0 } \% & \mathbf { 1 2 } \% & \mathbf { 1 4 } \% \\
• \hline 5 \text { years } & 11935 & 13190 & 14577 & 16110 \\
• \hline 8 \text { years } & 15172 & 17804 & 20894 & 24519 \\
• \hline 11 \text { years } & 19287 & 24033 & 29947 & 37317 \\
• \hline 14 \text { years } & 24519 & 32442 & 42924 & 56795 \\
• \hline 17 \text { years } & 31170 & 43792 & 61525 & 86439 \\
• \hline
• \end{array}\)
• E) \(\begin{array} { | c | c | c | c | c | }
• \hline & \mathbf { 8 } \% & \mathbf { 1 0 } \% & \mathbf { 1 2 } \% & \mathbf { 1 4 } \% \\
• \hline 5 \text { years } & 62339 & 87583 & 123050 & 172878 \\
• \hline 8 \text { years } & 49038 & 64883 & 85849 & 113589 \\
• \hline 11 \text { years } & 38574 & 48067 & 59895 & 74633 \\
• \hline 14 \text { years } & 30344 & 35609 & 41787 & 49038 \\
• \hline 17 \text { years } & 23869 & 26380 & 29154 & 32220 \\
• \hline
• \end{array}\)

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