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

Question 61

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. 8%10%12%14%5 years 8 years 11 years 14 years 17 years \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) 8%10%12%14%5 years 238692638029154322208 years 3034435609417874903811 years 3857448067598957463314 years 49038648838584911358917 years 6233987583123050172878\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) 8%10%12%14%5 years 322202915426380238698 years 4903841787356093034411 years 7463359895480673857414 years 11358985849648834903817 years 1728781230508758362339\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) 8%10%12%14%5 years 477385275958308644408 years 6068771217835749807511 years 771499613311978914926714 years 9807512976617169822717817 years 124678175166246099345757\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) 8%10%12%14%5 years 119351319014577161108 years 1517217804208942451911 years 1928724033299473731714 years 2451932442429245679517 years 31170437926152586439\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) 8%10%12%14%5 years 62339875831230501728788 years 49038648838584911358911 years 3857448067598957463314 years 3034435609417874903817 years 23869263802915432220\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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