Max bought two items that were both on sale. One item was 10% off and one item was 20% off. Max says that he saved 15% altogethe
1 answer:
Max is correct when he says he saved 15% altogether
Let assume that each item costs $100
With a 10% discount, he would pay $90
With a 20% discount, he would pay $80
The total amount he bought the items with the discount = $90 + $80 = $170
Without the discount, he would have paid = $100 + $100 = $200
Amount saved = $200 - $170 = $30
Percentage savings = x 100 = 15%
Max saved 15% in total
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Answer:
Step-by-step explanation:
Ok, so we start by setting the integral up. The integral we need to solve is:
so according to the instructions of the problem, we need to start by using some substitution. The substitution will be done as follows:
U=5+x
du=dx
x=U-5
so when substituting the integral will look like this:
now we can go ahead and integrate by parts, remember the integration by parts formula looks like this:
so we must define p, q, p' and q':
p=ln U
q'=U-5
and now we plug these into the formula:
Which simplifies to:
Which solves to:
so we can substitute U back, so we get:
and now we can simplify:
notice how all the constants were combined into one big constant C.