Answer:
$1677.10
Explanation:
We'll use the below compound interest formula to solve the given question;
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]where A = the final amount = ?
P = the principal amount = $1000
r = interest rate in decimal = 9% = 9/100 = 0.09
r = number of times interest is compounded per time = 1
t = number of time period = 6 years
Let's substitute the above values into our formula and solve for A;
[tex]\begin{gathered} A=1000(1+\frac{0.09}{1})^{1\times6} \\ A=1000(1.09)^6 \\ A=1677.10 \end{gathered}[/tex]