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According to www.Phila.gov the effective tax rate on parking charges in Philadel

ID: 3143087 • Letter: A

Question

According to www.Phila.gov the effective tax rate on parking charges in Philadelphia is twenty-two and a half percent (Dec. 7, 2015). Suppose a friend is upset about this and figures she paid four hundred forty-five dollars and fifty cents last year in parking taxes. How much did parking cost her, before tax?

In percent applications, you need to identify the part, the rate, and the base. The relationship is Part equals Base times Rate. List these values and state “unknown” for what you are to compute:

7a.

Part =

7b.

Rate =

7c.

Base =

Write the rate in all three equivalent forms:

7d.

Percentage =

7e.

Fraction =

7f.

Decimal =

7g. Show the computation you will conduct to find the parking cost (use a proportion or formula):

7h. Do the computation and state the parking cost before tax, state the answer rounded to the nearest cent:

Explanation / Answer

7a.

Part = Total paid = $455.5

7b

Rate = 22.5%

7c

Part = Base x (1+Rate)

7d

Rate in Percentage - 22.5%

7e

Rate in fraction = 22.5/100 = 9/40

7f

Decimal = 0.225

7g

Part = Base x (1+Rate)

7h

455.5 = Base x (1+0.225)

Base = 455.5/1.225

Base = $371.84

So before tax parking cost was $371.84

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