Answer:
$ 3199.0
Step-by-step explanation:
Let the number of shares of ABC = x
and XYZ = y
writing each as a linear equation
32 x + 23 y = 10100 equation 1
1.2 x + 1.4 y = 540
1.4 y = 540 - 1.2 x
y = ( 540 - 1.2 x) / 1.4
substitute for y in equation 1
32 x + 23( 540 - 1.2 x) / 1.4 = 10100
32 x + 8871.43 - 19.71 x = 10100
collect the like terms
32 x - 19.71 x = 10100 - 8871.43
12.29 x = 1228.57
x = 1228.57 / 12.29 = 99.97
the amount of money to be invested in ABC shares = 99.97 × $ 32 = $ 3199.0
45 - 7 = 38
unknown quantity is the miles already traveled.
Answer:
He would pay $4,320 back
Step-by-step explanation:
If he pays $120 a month then
$120 x 12 (12 months in a year)
$1440 x 3 = $4,320
He would have to pay $1,320 extra for the car. I wouldn't be willing to buy the car.
Answer:
34 degrees
Step-by-step explanation:
considering the two lines are parallel:
(3x + 7) + (2x + 3) = 180 degrees
3x + 2x + 7 + 3 = 180 degrees
5x + 10 = 180
5x = 180 - 10
5x = 170
x = 170/5 = 34
the value of x = 34 degrees
we have <D = (7x-1)° , <A =(5x+25)°
{ all angles of square is equal to 90° }
<A + <D = 180°
5x + 25 + 7x - 1 = 180°
12 x = 180 - 24
12x = 156
x = 13
<A = (5*13 +25) = 90
< D = ( 7*13-1) = 90
so ABCD is a square
