Dr needs 500 needles priced at 2.60 per hundred. If he pays within 10 days, she receives a 2% discount, sales tax 5.5%. What amount would you pay with the discount? My math 2.60 x 500 needles = $13.00 $13.00 x 5.5% = 72cents 13.00 + .72 = $13.72 $13.72 - 2% = 27cents 13.72 - .27 = $13.45 Is this correct? Please show breakdown out of school long time. Thanks
You need to take the 2$ discount before you figure the tax. I get a slightly different answer.
13 * 0.98 = $12.74
12.74 * 1.055 = $13.44
To calculate the amount the doctor would pay with the discount, you can follow these steps:
1. Determine the total price of 500 needles at $2.60 per hundred.
- 500 needles divided by 100 = 5
- 5 multiplied by $2.60 = $13.00
2. Calculate the sales tax of 5.5%.
- $13.00 multiplied by 5.5% = $0.715 (rounded to two decimal places)
3. Add the sales tax to the original amount.
- $13.00 + $0.715 = $13.715 (rounded to two decimal places)
4. Apply the 2% discount.
- $13.715 multiplied by 2% (or 0.02) = $0.2743 (rounded to two decimal places)
5. Subtract the discount from the total amount.
- $13.715 - $0.2743 = $13.44 (rounded to two decimal places)
So, the correct amount the doctor would pay with the discount is $13.44.
To calculate the total amount with the discount, sales tax, and bulk pricing, you can follow these steps:
1. Calculate the initial cost of the needles:
The price per hundred needles is $2.60. To find the price of 500 needles, we can divide the number of needles by 100 and multiply it by the price per hundred:
500 / 100 = 5 (number of hundreds)
5 x $2.60 = $13.00
2. Calculate the sales tax:
The sales tax is 5.5% of the initial cost. To find the sales tax amount, we can multiply the initial cost by 5.5% (or 0.055):
$13.00 x 0.055 = $0.715 (approximately 72 cents)
3. Add the sales tax to the initial cost:
$13.00 + $0.72 = $13.72
4. Calculate the discount:
The discount is 2% of the total cost. To find the discount amount, we can multiply the total cost by 2% (or 0.02):
$13.72 x 0.02 = $0.2744 (approximately 27 cents)
5. Subtract the discount from the total cost:
$13.72 - $0.27 = $13.45
So, the correct amount you would pay with the discount is $13.45.
It's great that you broke down the steps to solve the problem. Remember to be careful with decimal points and rounding in your calculations to ensure accuracy.