Question

Need help filling in the blanks

Answer 1

Answer:

1. $2,520.00

2. 0.0%

3. 3%

4. $661.5

5. $727.00

6. $1,736.96

8. $3,250.00

10. 2%

Step-by-step explanation:

1.

We solve for the original price by solving first for the reverse value of the %off.

In this case we have 2.0% off. To find the reverse value, we first need to convert it to its decimal form.

r = 2.0% or 0.02

Now we solve for the rate by subtracting r to 1.

r = 1 - 0.02

r = 0.98

Now that we have r we divide the discounted price by r.

Original price = 2,469.60 / 0.98

Original price = $2,520.00

2.

Pretty straight forward as the Original price and the Discounted are the same. So there is no discount.

r = 0.0%

3.

To find the rate we first need to subtract the original price to the discounted price to find the decrease.

$850 - $824.50 = $25.50

Now that we have the decrease we can find the rate by using this formula:

$r = \dfrac{Decrease}{Original Price}*100$

$r = \dfrac{25.50}{850}*100$

$r = 0.03*100$

$r = 3%$

4.

To find the discounted price we simply multiply the original price to the r and subtract the amount to the original price.

$Discounted Price=OriginalPrice-(OriginalPrice*Rate)$

$Discounted Price=675-(675*0.02)$

$Discounted Price=675-13.5$

$Discounted Price= 661.5$

5.

Since the %off is 0.0% then the discounted price is equal to the original price.

$727.00

7.

To find the discounted price we simply multiply the original price to the r and subtract the amount to the original price.

$Discounted Price=OriginalPrice-(OriginalPrice*Rate)$

$Discounted Price=1,888-(1,888*0.08)$

$Discounted Price=1,888-151.04$

$Discounted Price= 1736.96$

8.

We solve for the original price by solving first for the reverse value of the %off.

In this case we have 3.0% off. To find the reverse value, we first need to convert it to its decimal form.

r = 3.0% or 0.03

Now we solve for the rate by subtracting r to 1.

r = 1 - 0.03

r = 0.97

Now that we have r we divide the discounted price by r.

Original price = 3,152.50 / 0.97

Original price = $3,250.00

10.

To find the rate we first need to subtract the original price to the discounted price to find the decrease.

$4,567.00 - $4,475.66 = $91.34

Now that we have the decrease we can find the rate by using this formula:

$r = \dfrac{Decrease}{Original Price}*100$

$r = \dfrac{91.34}{4567}*100$

$r = 0.02*100$

$r = 2%$