We will use the formula;
[tex]A=P(1+\frac{r}{n})^{nt^{}}[/tex]Where A is the amount after t years
n is the number of times the interest is paid
r is the rate
t is the time in years
p is the pricipal or the initial amount
From the question;
P= 12 000
r = 10% = 0.1
t = 21
n= 2, since it is compounded semi-anually
Substitute the values into the formula;
[tex]A=12\text{ 000 (1 + }\frac{0.1}{2})^{2\times21}[/tex][tex]A=12000(1+0.05)^{42}[/tex][tex]A=12000(1.05)^{42}[/tex][tex]A=93139.05[/tex]Hence, the total amount is $93139.05 to the nearest cent
