Answer: see proof below
<u>Step-by-step explanation:</u>
Given: cos 330 =
Use the Double-Angle Identity: cos 2A = 2 cos² A - 1
Proof LHS → RHS:
LHS cos 165
Double-Angle: cos (2 · 165) = 2 cos² 165 - 1
⇒ cos 330 = 2 cos² 165 - 1
⇒ 2 cos² 165 = cos 330 + 1
Given:
Divide by 2:
Square root:
Scratchwork:
Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE
LHS = RHS
Answer:
3k^2 -k+5
reason:
when adding two equations together, you combine like terms.
First, add -2 to 7 to get 5
Then, add k, or 1k, to -2k, which gives you -1k, or just -k
3k^2 stays the same because there are no like terms in the other equation to combine it with
4.66
37.28$ / (divided by) 8 = 4.66
Answer:
Step-by-step explanation:
hope this helps
Answer:
Nominal interest rate is = 9% converible quaterly
we need to find monthy effective interest rate
0.09
i = 0.00744 or 0.75% approximately
i can also be taken as = 0.09/12
now PV of annuity will be the market price i.e x
6 60 *2 ---------------------a
Multiply equation by \frac{1}{1+i} both sides
6 60 2 PV ---------------b
Subtract equation b from a
60 2 PV (1 1+i (1+2)1 (1+2)2 (1+2)3 (1+2)60 (1+961
60 2 PV( 1 +i
on putting i = 0.00744
PV = 2733.88 approximately
X = 2733.88
Step-by-step explanation: