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?

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.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.