Math lovers that love stock

will mark

sam salmon is interested in purchasing stock. he wants to determine the costs.

number of shares/ price per share /total /commission @ 6% of total /total cost
100 abc $16.25 $1,625 $ ? $ ?
100 def $11.31 $1,131 $ ? $ ?
40 ghi $9.15 $366 $ ? $ ?
100 jkl $15.27 $1,527 $ ? $ ?
100 mno $13.22 $1,322 $ ? $ ?

this took a lot of time to type and i really dont know what im doing!

!

answer:

the answers for the empty boxes are, in order:

$97.50, $1722.50;

$67.86, $1198.80;

$21.96, $387.96;

$91.62, $1618.60;

$79.32, $1401.30

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

what are the