Luis bought stock at $64.80. the next day, the price increased $14.70. this new price changed by −6 3/4 % the following day. what was the final stock price, rounded to the nearest cent? is your answer reasonable? complete the explanation.

The stock first increased by $14.7 (22.7%) to be $79.50.

Then it fell by 6.75% which is $79.50*0.0675=$5.37 so

the final stock price was $79.50-$5.37=$74.13

The answer is reasonable in the sense that the final price lies between the original price and the high the stock experienced on the second day, which is consistent with the 22.7% increase followed by a (smaller) decrease of 6.75%.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.