Answer:
-2.453
Step-by-step explanation:
sqrt(6) * sqrt(2) = 3.461
sqrt(6) * -2 = -4.899
sqrt(3) * sqrt(2) = 2.449
sqrt(3) * -2 = -3.464
sum of numbers equals
-2.453
Given:
treasury bond = 40,000
brokers commission = 600
interest rate = 12$ p.a
interest paid semi-annually, january 1 and july 1.
Since the treasury bond was sold on June 1, its interest revenue will only be equal to 1 month ( June 1 to July 1).
12% / 12 months = 1% per month
40,000 * 1% = 400 interest revenue to be recorded on July 1.
Answer:
D 5/3
Step-by-step explanation:
Secθ= Hypotenuse/Adjacent
Secθ=10/6
Simplify: 10/6 -->5/3
Ans: D 5/3
remember your six trigonometric functions:
Sinθ=Opp/Hyp -->Cscθ=Adj/Hyp
Cosθ=Adj/Hyp -->Secθ=Hyp/Adj
Tanθ=Opp/Adj-->Cotθ=Opp?Adj
It is basically the opposite of each other, don't forget when you are at the last step you simplify! never forget. Also working with square roots will be a bit tricky when converting to Csc/ Sec/ Cot. Just noting you that Square roots don't belong in denominators!
Answer:
x = 250
y = 125
u(x,y) = 3125500
Step-by-step explanation:
As given,
The utility function u(x, y) = 100xy + x + 2y
= 2 , 
= 4
Now,
Budget constraint -
x + y = 1000
⇒2x + 4y = 1000
So,
Let v(x, y) = 2x + 4y - 1000
Now,
By Lagrange Multiplier
Δu = Δv
⇒< 100y + 1, 100x + 2 > = < 2, 4 >
By comparing, e get
100y + 1 = 2 ........(1)
100x + 2 = 4 .........(2)
Divide equation (2) to equation (1) , we get
⇒2(100y+1) = 1(100x+2)
⇒200y + 2 = 100x + 2
⇒200y = 100x
⇒2y = x
Now,
As 2x + 4y = 1000
⇒2x + 2(2y) = 1000
⇒2x + 2x = 1000
⇒4x = 1000
⇒x = 250
Now,
As 2y = x
⇒2y = 250
⇒y = 
= 125
∴ we get
x = 250
y = 125
Now,
u(250, 125) = 100(250)(125) + 250 + 2(125)
= 3125000 + 250 + 250
= 3125000 + 500
= 3125500
⇒u(250, 125) = 3125500
