Answer
${{\$}} 16,702.57$
Work Step by Step
THEOREM: Amount of an Annuity
Suppose that $P$ is the deposit in dollars made at the end of each payment period
for annnuity paying i percent interest per payment period.
The amount $A$ of the annuity after $n$ deposits is$ A=P\displaystyle \frac{(1+i)^{n}-1}{i}$
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$P=400$
$n=36$
$i=\displaystyle \frac{0.10}{12}$
$A=400\displaystyle \frac{(1+\frac{0.10}{12})^{36}-1}{\frac{0.10}{12}}\approx 16,702.57$
