You can use the fact that both 20% and 15% discounts will be merged to reduce 35% of the price of the book that Jamie buys.
By buying the book on sale and using the coupon, Jamie will save
Option B: $11.55
<h3>Suppose the sale gives p% off.
And the discount coupon provides q% off.
Then we have total discount applied on the cost of the object bought as
(p+q)%
<h3>How to find the percentage from the total value?</h3>Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
Since the sale offers 20% discount and Jamie has got 15% discount coupon for any fiction book, thus, total 35% will be discounted if Jamie buys fiction book.
Since the price of the fiction book that Jamie brought is $32.99, thus,
Saved amount = 35% of $32.99 =
Thus,
By buying the book on sale and using the coupon, Jamie will save
Option B: $11.55
<h3 />Learn more about percentage here:
Answer:
(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)
Here we have the equation:
We can rewrite this as:
Now we can add and subtract cos^2(x)*sin^2(x) to get:
We can complete squares to get:
and we know that:
cos^2(x) + sin^2(x) = 1
then:
This is the closest expression to what you wrote.
We also know that:
sin(x)*cos(x) = (1/2)*sin(2*x)
If we replace that, we get:
Then the simplification is: