A pair of shoes usually sells for $63. If the shoes are 30% off, and sales tax is 8%, what is the total price of the shoes, including tax?

Work Shown:

The discount is 30%, so you still have to pay 70% (because 100% - 30% = 70%)

70% = 0.70

Multiplying by 0.70 represents a decrease of 30%

Multiplying by 1.08 represents an increase of 8%, which is where the tax comes in.

The multipliers are: 0.70 and 1.08

So,

final price = (original price)*(discount multiplier)*(tax multiplier)

final price = 63*0.70*1.08

final price = 47.628

final price = 47.63

With this method, we can chain multiple discounts and/or taxes, fees etc in a very quick efficient manner.

The (slightly) longer route might look like this

original price = 63

discount = 30% of original price = 0.30*63 = 18.90

price after discount = (original price) - (discount) = 63 - 18.90 = 44.10

note how this is the longer way of saying 63*0.70 = 44.10

Now apply the tax

tax = 8% of 44.10 = 0.08*44.10 = 3.528

final price after tax = 44.10 + 3.528 = 47.628 = 47.63

or you can say,

1.08*44.10 = 47.628 = 47.63

to get the same answer.

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?

2500

step-by-step explanation: