Answer:
One adult ticket is $4 and one child ticket is $7
Step-by-step explanation:
Make a system of equations
2x + 10y = 78
8x + 5y = 67
Solve by elimination, multiply the 2nd equation by -2
2x +10y = 78
-16x -10y = -134
Add the equations
-14x = -56
x = 4
The price of one adult ticket is $4
Plug 4 in as x to find y
2(4) + 10y = 78
8 + 10y = 78
10y = 70
y = 7
The price of one child ticket is $7
Don't study your heart out, but study here and there and don't stress.
Using cos addition formula:
use x for theta
cos(x+π/6)=cosx*cos(π/6)-sinx*sin(π/6)
sinx=1/4
cosx=√15/4
cos(π/6)=√3/2
sin(π/6)=1/2
cos(x+π/6)=(√15/4*√3/2)-(1/4*1/2)
cos(x+π/6)=(√45/8)-(1/8 )
cos(x+π/6)=(√45-1)/8)
Since each share was purchased when it was still quoted at 20 1/4, then when the stock value increases, it gains (25 1/4 - 20 1/4) = $5.00 for each stock.
Since you're to sell 30 shares of your stock, that means you'll be making a profit of (30 x 5 ) = $150.00.
Thus, the answer is C<span>.</span>
Last one:
In the picture a=2, b=4a, b=4•2=8
1st picture a=3, b=4a, b=4•3=12
2nd picture a=0.5, b=4•0.5=2
3rd picture a=2.5, b=4•2.5=10
4th picture a=4, b=4•4=16, but in the picture b=10 therefore, this rectangular is NOT similar to rectangular ABCD.