QuestionA coat costs $d$ dollars, on sale for 20% off, plus 5% tax. What is the total cost? A) $0.84 d$ B) $0.85 d$ C) $1.05 d$ D) $1.25 d$

Studdy Solution

STEP 1

Assumptions1. The original cost of the coat is $d$ dollars. The discount on the coat is20%
3. The sales tax is5%
4. The discount is applied before the sales tax

STEP 2

First, we need to find the discounted price of the coat. We can do this by subtracting the discount from the original price.
$Discounted\, price = Original\, price - (Original\, price \\times Discount\, rate)$

STEP 3

Now, plug in the given values for the original price and discount rate to calculate the discounted price.
$Discounted\, price = d - (d \\times20\%)$

STEP 4

Convert the percentage to a decimal value.
$20\% =0.2$ $Discounted\, price = d - (d \\times0.2)$

STEP 5

Calculate the discounted price.
$Discounted\, price = d - (d \\times0.2) =0.8d$

STEP 6

Now that we have the discounted price, we can find the final price including sales tax. This can be done by adding the sales tax to the discounted price.
$Final\, price = Discounted\, price + (Discounted\, price \\times Sales\, tax\, rate)$

STEP 7

Plug in the values for the discounted price and the sales tax rate to calculate the final price.
$Final\, price =0.d + (0.d \\times5\%)$

STEP 8

Convert the percentage to a decimal value.
$5\% =0.05$ $Final\, price =0.8d + (0.8d \\times0.05)$

STEP 9

Calculate the final price.
$Final\, price =.8d + (.8d \\times.05) =.8d +.04d =.84d$ So, the cost to purchase the coat would be $.84d$ dollars. The correct answer is A) $.84d$ .

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QuestionA coat costs $d$ dollars, on sale for 20% off, plus 5% tax. What is the total cost? A) $0.84 d$ B) $0.85 d$ C) $1.05 d$ D) $1.25 d$

Studdy Solution

STEP 1

Assumptions1. The original cost of the coat is $d$ dollars. The discount on the coat is20%
3. The sales tax is5%
4. The discount is applied before the sales tax

STEP 2

First, we need to find the discounted price of the coat. We can do this by subtracting the discount from the original price.
$Discounted\, price = Original\, price - (Original\, price \\times Discount\, rate)$

STEP 3

Now, plug in the given values for the original price and discount rate to calculate the discounted price.
$Discounted\, price = d - (d \\times20\%)$

STEP 4

Convert the percentage to a decimal value.
$20\% =0.2$ $Discounted\, price = d - (d \\times0.2)$

STEP 5

Calculate the discounted price.
$Discounted\, price = d - (d \\times0.2) =0.8d$

STEP 6

Now that we have the discounted price, we can find the final price including sales tax. This can be done by adding the sales tax to the discounted price.
$Final\, price = Discounted\, price + (Discounted\, price \\times Sales\, tax\, rate)$

STEP 7

Plug in the values for the discounted price and the sales tax rate to calculate the final price.
$Final\, price =0.d + (0.d \\times5\%)$

STEP 8

Convert the percentage to a decimal value.
$5\% =0.05$ $Final\, price =0.8d + (0.8d \\times0.05)$

STEP 9

Calculate the final price.
$Final\, price =.8d + (.8d \\times.05) =.8d +.04d =.84d$ So, the cost to purchase the coat would be $.84d$ dollars. The correct answer is A) $.84d$ .

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QuestionA coat costs ddd dollars, on sale for 20% off, plus 5% tax. What is the total cost? A) 0.84d0.84 d0.84d B) 0.85d0.85 d0.85d C) 1.05d1.05 d1.05d D) 1.25d1.25 d1.25d

Studdy Solution

STEP 1

Assumptions1. The original cost of the coat is ddd dollars. The discount on the coat is20%3. The sales tax is5%4. The discount is applied before the sales tax

STEP 2

STEP 3

Now, plug in the given values for the original price and discount rate to calculate the discounted price.Discounted price=d−(dtimes20%)Discounted\, price = d - (d \\times20\%)Discountedprice=d−(dtimes20%)

STEP 4

Convert the percentage to a decimal value.20%=0.220\% =0.220%=0.2Discounted price=d−(dtimes0.2)Discounted\, price = d - (d \\times0.2)Discountedprice=d−(dtimes0.2)

STEP 5

Calculate the discounted price.Discounted price=d−(dtimes0.2)=0.8dDiscounted\, price = d - (d \\times0.2) =0.8dDiscountedprice=d−(dtimes0.2)=0.8d

STEP 6

STEP 7

Plug in the values for the discounted price and the sales tax rate to calculate the final price.Final price=0.d+(0.dtimes5%)Final\, price =0.d + (0.d \\times5\%)Finalprice=0.d+(0.dtimes5%)

STEP 8

Convert the percentage to a decimal value.5%=0.055\% =0.055%=0.05Final price=0.8d+(0.8dtimes0.05)Final\, price =0.8d + (0.8d \\times0.05)Finalprice=0.8d+(0.8dtimes0.05)

STEP 9

Calculate the final price.Final price=.8d+(.8dtimes.05)=.8d+.04d=.84dFinal\, price =.8d + (.8d \\times.05) =.8d +.04d =.84dFinalprice=.8d+(.8dtimes.05)=.8d+.04d=.84dSo, the cost to purchase the coat would be .84d.84d.84d dollars. The correct answer is A) .84d.84d.84d.

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QuestionA coat costs $d$ dollars, on sale for 20% off, plus 5% tax. What is the total cost? A) $0.84 d$ B) $0.85 d$ C) $1.05 d$ D) $1.25 d$

Assumptions1. The original cost of the coat is $d$ dollars. The discount on the coat is20%
3. The sales tax is5%
4. The discount is applied before the sales tax

Now, plug in the given values for the original price and discount rate to calculate the discounted price.
$Discounted\, price = d - (d \\times20\%)$

Convert the percentage to a decimal value.
$20\% =0.2$ $Discounted\, price = d - (d \\times0.2)$

Calculate the discounted price.
$Discounted\, price = d - (d \\times0.2) =0.8d$

Plug in the values for the discounted price and the sales tax rate to calculate the final price.
$Final\, price =0.d + (0.d \\times5\%)$

Convert the percentage to a decimal value.
$5\% =0.05$ $Final\, price =0.8d + (0.8d \\times0.05)$

Calculate the final price.
$Final\, price =.8d + (.8d \\times.05) =.8d +.04d =.84d$ So, the cost to purchase the coat would be $.84d$ dollars. The correct answer is A) $.84d$ .