Math / Algebra

QuestionWrite an expression for the sales tax on a car. Tax rate is $7 \%$ , price is $\$ 7000$ off the sticker price, $\$ p$ . $\square$ dollars

Studdy Solution

STEP 1

1. The sales tax rate is given as $7\%$ .
2. The price of the car is $\$7000$ less than the sticker price, which is given as $\$p$ .
3. The goal is to find an expression for the sales tax in dollars.

STEP 2

1. Calculate the actual price of the car after subtracting $\$7000$ from the sticker price $\$p$ .
2. Determine the sales tax as $7\%$ of the actual price.

STEP 3

Calculate the actual price of the car after the discount.
$\text{Actual Price} = p - 7000$

STEP 4

Determine the sales tax by calculating $7\%$ of the actual price.
$\text{Sales Tax} = 0.07 \times (p - 7000)$

STEP 5

Simplify the expression for the sales tax.
$\text{Sales Tax} = 0.07p - 0.07 \times 7000$

STEP 6

Perform the multiplication to simplify further.
$\text{Sales Tax} = 0.07p - 490$
The sales tax on the car, given the conditions, is:
$\text{Sales Tax} = 0.07p - 490 \text{ dollars}$

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QuestionWrite an expression for the sales tax on a car. Tax rate is $7 \%$ , price is $\$ 7000$ off the sticker price, $\$ p$ . $\square$ dollars

Studdy Solution

STEP 1

1. The sales tax rate is given as $7\%$ .
2. The price of the car is $\$7000$ less than the sticker price, which is given as $\$p$ .
3. The goal is to find an expression for the sales tax in dollars.

STEP 2

1. Calculate the actual price of the car after subtracting $\$7000$ from the sticker price $\$p$ .
2. Determine the sales tax as $7\%$ of the actual price.

STEP 3

Calculate the actual price of the car after the discount.
$\text{Actual Price} = p - 7000$

STEP 4

Determine the sales tax by calculating $7\%$ of the actual price.
$\text{Sales Tax} = 0.07 \times (p - 7000)$

STEP 5

Simplify the expression for the sales tax.
$\text{Sales Tax} = 0.07p - 0.07 \times 7000$

STEP 6

Perform the multiplication to simplify further.
$\text{Sales Tax} = 0.07p - 490$
The sales tax on the car, given the conditions, is:
$\text{Sales Tax} = 0.07p - 490 \text{ dollars}$

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QuestionWrite an expression for the sales tax on a car. Tax rate is 7%7 \%7%, price is $7000\$ 7000$7000 off the sticker price, $p\$ p$p. □\square□ dollars

Studdy Solution

STEP 1

1. The sales tax rate is given as 7%7\%7%.2. The price of the car is $7000\$7000$7000 less than the sticker price, which is given as $p\$p$p.3. The goal is to find an expression for the sales tax in dollars.

STEP 2

1. Calculate the actual price of the car after subtracting $7000\$7000$7000 from the sticker price $p\$p$p.2. Determine the sales tax as 7%7\%7% of the actual price.

STEP 3

Calculate the actual price of the car after the discount.Actual Price=p−7000 \text{Actual Price} = p - 7000 Actual Price=p−7000

STEP 4

Determine the sales tax by calculating 7%7\%7% of the actual price.Sales Tax=0.07×(p−7000) \text{Sales Tax} = 0.07 \times (p - 7000) Sales Tax=0.07×(p−7000)

STEP 5

Simplify the expression for the sales tax.Sales Tax=0.07p−0.07×7000 \text{Sales Tax} = 0.07p - 0.07 \times 7000 Sales Tax=0.07p−0.07×7000

STEP 6

Perform the multiplication to simplify further.Sales Tax=0.07p−490 \text{Sales Tax} = 0.07p - 490 Sales Tax=0.07p−490The sales tax on the car, given the conditions, is:Sales Tax=0.07p−490 dollars \text{Sales Tax} = 0.07p - 490 \text{ dollars} Sales Tax=0.07p−490 dollars

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QuestionWrite an expression for the sales tax on a car. Tax rate is $7 \%$ , price is $\$ 7000$ off the sticker price, $\$ p$ . $\square$ dollars

1. The sales tax rate is given as $7\%$ .
2. The price of the car is $\$7000$ less than the sticker price, which is given as $\$p$ .
3. The goal is to find an expression for the sales tax in dollars.

1. Calculate the actual price of the car after subtracting $\$7000$ from the sticker price $\$p$ .
2. Determine the sales tax as $7\%$ of the actual price.

Calculate the actual price of the car after the discount.
$\text{Actual Price} = p - 7000$

Determine the sales tax by calculating $7\%$ of the actual price.
$\text{Sales Tax} = 0.07 \times (p - 7000)$

Simplify the expression for the sales tax.
$\text{Sales Tax} = 0.07p - 0.07 \times 7000$

Perform the multiplication to simplify further.
$\text{Sales Tax} = 0.07p - 490$
The sales tax on the car, given the conditions, is:
$\text{Sales Tax} = 0.07p - 490 \text{ dollars}$