Question

Check Answer for a percent question?

Answer 1

A store is offering a 25% discount on all items. Also, employees get a 10% employee discount. If you are an employee, which discount would you want to be applied first to save the most money?

Answer 2

I think you discount it with the 10% first.

Answer 3

both lead to the same final price

here's why

let x = original price

Lets say you do the 25% discount first then the 10% discount

apply the first discount

x - 0.25x = 0.75x

Then apply the second discount

0.75x - 0.10*0.75x = 0.675*x

So in the end, you're paying 67.5% of the original price and you get an overall discount of 100 - 67.5 = 32.5% off

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Now let's say you do the 10% discount first then the 25% discount

apply the first discount

x - 0.10x = 0.90x

then apply the second discount

0.90x - 0.25*0.90x = 0.675*x

and you get the same final price

Answer 4

So either way, you're getting the same discount (no matter which one you do first)

The two discounts basically combine to 32.5% discount in the end.

Answer 5

Ohh. I kinda figured that in the begining but then I thought I was underthinking it lol. Can you help me with one other thing?

Answer 6

try it with prices of $100, $1000 and $10,000 and you'll see that the final prices will be the same (with either discount)

Answer 7

k thnx. I also needed help with another problem but its pretty different from this one. (Maybe more like a far cry from this one lol)

Answer 8

ok go for it

Answer 9

How would I solve something like this? f(x)= -5x + 3 g(x) = 6x - 2. Find f • g and its domain.

Answer 10

f times g ?

or

f circle g?

Answer 11

f times g. (it's a small filled in circle so I know it's multiplication)

Answer 12

so you need to expand (-5x+3)*(6x-2)

Answer 13

Yeah.

Answer 14

what do you get when you do this

Answer 15

I do that with FOIL right?

Answer 16

yes

Answer 17

k I get –30x2 + 28x – 6 as my final answer

Answer 18

you got it

Answer 19

Awesome! :D Thnx so much for your help then!

Answer 20

np