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Math  /  Numbers & Operations

Question2. Tax Problem: You bought a laptop for $600\$ 600, and the sales tax rate is 7.5%7.5 \%. How much will you pay in tax, and what is the total cost of the laptop including tax?

Studdy Solution

STEP 1

1. The cost of the laptop before tax is $600 \$600 .
2. The sales tax rate is 7.5% 7.5\% .
3. We need to calculate the amount of sales tax and the total cost including tax.

STEP 2

1. Convert the percentage to a decimal.
2. Calculate the sales tax.
3. Calculate the total cost including tax.

STEP 3

Convert the sales tax rate from a percentage to a decimal.
7.5%=7.5100=0.0757.5\% = \frac{7.5}{100} = 0.075

STEP 4

Calculate the sales tax by multiplying the cost of the laptop by the decimal tax rate.
Sales Tax=600×0.075\text{Sales Tax} = 600 \times 0.075

STEP 5

Perform the multiplication to find the sales tax.
Sales Tax=600×0.075=45\text{Sales Tax} = 600 \times 0.075 = 45

STEP 6

Calculate the total cost of the laptop including tax by adding the sales tax to the original price.
Total Cost=600+45\text{Total Cost} = 600 + 45

STEP 7

Perform the addition to find the total cost.
Total Cost=645\text{Total Cost} = 645
The sales tax is $45 \$45 , and the total cost of the laptop including tax is $645 \$645 .

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