A hotel manager found that his gross receipts for the day, including a 5% sales tax, were $1645.35. Find the amount of sales tax collected.

The amount of sales tax collected is $78.35

Step-by-step explanation:

Percentages

The gross receipts for the day were $1645.35, including a 5% sales tax.

If a percentage is already included (added) to a certain quantity, then it's not the original quantity or 100%.

The problem states that the gross receipts already include a 5% sales tax, thus the receipts are 100+5=105% of the net sales.

This means the net sales were $1645.35 / 105 * 100 = $1567

Subtracting $$1645.35 - $1567 = $78.35 we get the amount of sales tax.

The amount of sales tax collected is $78.35

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?