Answer:
$19636.36.
Step-by-step explanation:
We are told that Dabney Washington is paid a weekly commission of 3.5% on sales of $6,500 or less.
Let us find 3.5% of 6500.
[tex]3.5\%\text{ of } 6500=\frac{3.5}{100}\times 6500[/tex]
[tex]3.5\%\text{ of } 6500=3.5\times 65[/tex]
[tex]3.5\%\text{ of } 6500=227.5[/tex]
We are told that she gets 5.5% on sales in excess of $6,500 and last week Dabney's commission was $950. So let us subtract 227.5 from 950 to get the amount of commission, which Dabney got on sales in excess of 6500.
[tex]950-227.5=722.5[/tex]
Now let us find the amount (x) such that 5.5% of that amount must be 722.5.
[tex]\frac{5.5}{100}x=722.5[/tex]
[tex]x=\frac{722.5}{5.5}\times 100[/tex]
[tex]x=\frac{72250}{5.5}[/tex]
[tex]x=13136.3636363636363636\approx 13136.36[/tex]
Now let us add 6500 and 13136.36 to get the total weekly sales.
[tex]\text{total weekly sales}=6500+13136.36[/tex]
[tex]\text{total weekly sales}=19636.36[/tex]
Therefore, the total of Dabney's sales for week was $19636.36.
