Complete the following chart, which illustrates what happens to $8,000 invested at 12% for different lengths of time and different numbers of compounding periods. Round all of your answers to the nearest dollar. $$\begin{array} { | c | c | c | c | c | }
\hline & \text { l year } & \text { T years } & \text { 14 years } & \text { 28 years } \
\hline \text { Compounded annually } & & & & \
\hline \text { Compoundedsemiannually } & & & & \
\hline \text { Compounded quatterly } & & & & \
\hline \text { Compounded monthly } & & & & \
\hline \text { Compounded continuously } & & & & \
\hline
\end{array}$$
A) $\begin{array} { | c | c | c | c | }
\hline 4480 & 8843 & 19548 & 95535 \
\hline 4494 & 9044 & 20447 & 104517 \
\hline 4502 & 9152 & 20938 & 109605 \
\hline 4507 & 9227 & 21284 & 113251 \
\hline 4510 & 9265 & 21462 & 115157 \
\hline
\end{array}$
B) $\begin{array} { | l | l | l | l | }
\hline 9020 & 18531 & 42924 & 230314 \
\hline 9015 & 18454 & 42568 & 226502 \
\hline 9004 & 18303 & 41877 & 219209 \
\hline 8989 & 18087 & 40893 & 209035 \
\hline 8960 & 17685 & 39097 & 191071 \
\hline
\end{array}$
C) $\begin{array} { | c | c | c | c | }
\hline 8960 & 17685 & 39097 & 191071 \
\hline 26966 & 54262 & 122680 & 627104 \
\hline 27012 & 54910 & 125631 & 657628 \
\hline 27044 & 55361 & 127703 & 679505 \
\hline 27060 & 55593 & 128773 & 690941 \
\hline
\end{array}$
D) $\begin{array} { | c | c | c | c | }
\hline 8960 & 17685 & 39097 & 191071 \
\hline 8989 & 18087 & 40893 & 209035 \
\hline 9004 & 18303 & 219209 & 41877 \
\hline 9015 & 18454 & 226502 & 42568 \
\hline 9020 & 18531 & 230314 & 230314 \
\hline
\end{array}$
E) $\begin{array} { | l | l | l | l | }
\hline 8960 & 17685 & 39097 & 191071 \
\hline 8989 & 18087 & 40893 & 209035 \
\hline 9004 & 18303 & 41877 & 219209 \
\hline 9015 & 18454 & 42568 & 226502 \
\hline 9020 & 18531 & 42924 & 230314 \
\hline
\end{array}$

Question

Complete the following chart, which illustrates what happens to $8,000 invested at 12% for different lengths of time and different numbers of compounding periods. Round all of your answers to the nearest dollar. $$\begin{array} { | c | c | c | c | c | } 
\hline & \text { l year } & \text { T years } & \text { 14 years } & \text { 28 years } \
\hline \text { Compounded annually } & & & & \
\hline \text { Compoundedsemiannually } & & & & \
\hline \text { Compounded quatterly } & & & & \
\hline \text { Compounded monthly } & & & & \
\hline \text { Compounded continuously } & & & & \
\hline
\end{array}$$
A) $\begin{array} { | c | c | c | c | } 
\hline 4480 & 8843 & 19548 & 95535 \
\hline 4494 & 9044 & 20447 & 104517 \
\hline 4502 & 9152 & 20938 & 109605 \
\hline 4507 & 9227 & 21284 & 113251 \
\hline 4510 & 9265 & 21462 & 115157 \
\hline
\end{array}$
B) $\begin{array} { | l | l | l | l | } 
\hline 9020 & 18531 & 42924 & 230314 \
\hline 9015 & 18454 & 42568 & 226502 \
\hline 9004 & 18303 & 41877 & 219209 \
\hline 8989 & 18087 & 40893 & 209035 \
\hline 8960 & 17685 & 39097 & 191071 \
\hline
\end{array}$
C) $\begin{array} { | c | c | c | c | } 
\hline 8960 & 17685 & 39097 & 191071 \
\hline 26966 & 54262 & 122680 & 627104 \
\hline 27012 & 54910 & 125631 & 657628 \
\hline 27044 & 55361 & 127703 & 679505 \
\hline 27060 & 55593 & 128773 & 690941 \
\hline
\end{array}$
D) $\begin{array} { | c | c | c | c | } 
\hline 8960 & 17685 & 39097 & 191071 \
\hline 8989 & 18087 & 40893 & 209035 \
\hline 9004 & 18303 & 219209 & 41877 \
\hline 9015 & 18454 & 226502 & 42568 \
\hline 9020 & 18531 & 230314 & 230314 \
\hline
\end{array}$
E) $\begin{array} { | l | l | l | l | } 
\hline 8960 & 17685 & 39097 & 191071 \
\hline 8989 & 18087 & 40893 & 209035 \
\hline 9004 & 18303 & 41877 & 219209 \
\hline 9015 & 18454 & 42568 & 226502 \
\hline 9020 & 18531 & 42924 & 230314 \
\hline
\end{array}$

Quizplus · Accepted Answer

The correct values are calculated using the formula for compound interest $A = P(1 + \frac{r}{n})^{nt}$ and the formula for continuous compounding $A = Pe^{rt}$, where $P$ is the principal amount ($8000), $r$ is the annual interest rate (0.12), $n$ is the number of times the interest is compounded per year, and $t$ is the time the money is invested for in years. The values in choice A correctly reflect the outcomes of these calculations, rounded to the nearest dollar.

Complete the Following Chart, Which Illustrates What Happens to $8,000