Answer:
$12.80
Step-by-step explanation:
Before markup: $8
After markup: $8 x 160% = $12.80
This is a topic on percentage. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary). I've uploaded this topic's notes and will continue to upload more with tips as well!
for number 19, figure out the exponents then multiply.
for scientific notaintion you figure out how many numbers are behind the decimal , then do that number as an exponient to 10 then multiply by that number. i hope i made a bit of sense. if not look at kahn academy for help !
There are 4 choose 3 ways to hold 3 kings and 4 possible queens to make up the fourth card of the hand out of a total of 54 choose 4 possible four-card hands, which gives us the following expression for the probability of being dealt 3 kings and a queen out of 4 cards: Or roughly 1 in every 16920 four card hands.
Step-by-step explanation:
the last one is the correct answer
Since sin(2x)=2sinxcosx, we can plug that in to get sin(4x)=2sin(2x)cos(2x)=2*2sinxcosxcos(2x)=4sinxcosxcos(2x). Since cos(2x) = cos^2x-sin^2x, we plug that in. In addition, cos4x=cos^2(2x)-sin^2(2x). Next, since cos^2x=(1+cos(2x))/2 and sin^2x= (1-cos(2x))/2, we plug those in to end up with 4sinxcosxcos(2x)-((1+cos(2x))/2-(1-cos(2x))/2)
=4sinxcosxcos(2x)-(2cos(2x)/2)=4sinxcosxcos(2x)-cos(2x)
=cos(2x)*(4sinxcosx-1). Since sinxcosx=sin(2x), we plug that back in to end up with cos(2x)*(4sin(2x)-1)
