You are making several purchases from the b-better electronics store. You can buy from this store online or in a physical store. You have a coupon for 20% off that can only be used in the physical store and a $20.00 off coupon that can only be used online. The sales tax of 7.5% only applies to the physical store. Shipping for the online store is a flat rate of $8.99 or free for purchases over $75.00. Using the information below, which way of purchasing would save you the most money?

Question

21-12-2018
Mathematics

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You are making several purchases from the b-better electronics store. You can buy from this store online or in a physical store. You have a coupon for 20% off that can only be used in the physical store and a $20.00 off coupon that can only be used online. The sales tax of 7.5% only applies to the physical store. Shipping for the online store is a flat rate of $8.99 or free for purchases over $75.00. Using the information below, which way of purchasing would save you the most money?

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georgeangelov2 georgeangelov2 · Answer 1 · 2018-12-24T23:31:57+01:00

Answer:

Online Ordering is better.

Step-by-step explanation:

So you now that you save 20% if you to physical store and you save $20 if you go to the online store.

Say you are spending 100 dollars at the store to make it easy. 20% of one hundred is $20 so that is the same amount of money.

Now let’s look at the taxes and shipping so at the physical store you have to pay taxes no matter what but online you only do it if you purchase is less than $75 and we have $80 ($100–$20=$80) so at the physical store you have some amount of Mandy that is more than $80 because of taxes but if you buy online it will be exactly $80.

facundo3141592 facundo3141592 · Answer 2 · 2022-01-18T12:51:39+01:00

Here we must see in which way we would save more money, we will see that the better option is the online store.

Online store:

Here we have a $20.00 off coupon that can be used. The price of the item is $75, and there is a flat rate of $8.99

Then the total price is:

$75 + $8.99 - $20 = $63.99

Physical store:

The price of the object is the same, $75, but here we have a sales tax of 7.5% and a coupon for 20% off.

Then the total price is:

$75*(1 - 0.2)*(1 + 0.075)

Where

(1 - 0.2) represents the discount of 20%
(1 + 0.075) represents the tax of 7.5%

Notice that these are the percentages in decimal form, you just need to divide them by 100%.

So the price in the physical store is:

$75*(1 - 0.2)*(1 + 0.075) = $64.5

Comparing the prices, you can see that the online store is the cheaper option.

If you want to learn more about percentages and taxes, you can read:

https://brainly.com/question/14345924