Answer
The answer is
The sixth month salary $=\$42,823$.
The total salary for the six month $=\$223,210$.
Work Step by Step
Salary for the first year $P=\$32,000$.
Rate of increase $r=6\%=0.06$.
Increment $=1+.06=1.06$.
Time t=6.
The salary in the sixth year is $32,000(1.06)^5 = \$42,823.2184832$
Round to the nearest dollar $=\$42,823$.
Total salary is
$32,000+32,000(1.06)^1+32,000(1.06)^2+...+32,000(1.06)^5$
The above series is the geometric sequence therefore, the sum of the series is
$=32,000\frac{(1-1.06^6)}{1−1.06}=223210.193203$
Round to the nearest dollar$=\$ 223210$.
