Answer: (0,4)
Step-by-step explanation: Its the point that intrrcepts the y-axis hence the name
Answer:
Step-by-step explanation:
cos (x/2)=cos x+1
cos (x/2)=2cos ²(x/2)
2 cos²(x/2)-cos (x/2)=0
cos (x/2)[2 cos (x/2)-1]=0
cos (x/2)=0=cos π/2,cos (3π/2)=cos (2nπ+π/2),cos(2nπ+3π/2)
x/2=2nπ+π/2,2nπ+3π/2
x=4nπ+π,4nπ+3π
n=0,1,2,...
x=π,3π
or x=180°,540°,...
180°∈[0,360]
so x=180°
or
2cos(x/2)-1=0
cos (x/2)=1/2=cos60,cos (360-60)=cos 60,cos 300=cos (360n+60),cos (360n+300)
x/2=360n+60,360n+300
x=720n+120,720n+300
n=0,1,2,...
x=120,300,840,1020,...
only 120° and 300° ∈[0,360°]
Hence x=120°,180°,300°
Answer:
none
Step-by-step explanation:
to solve this equation we would say that
let
x + y = 5 .............................. equation 1
x + y = 6 .................................... equation 2
from equation 2
x + y = 6 .................................... equation 2
x = 6 -y...................................... equation 3
substitute for x into equation 1
x + y = 5 .............................. equation 1
6 - y + y = 5
from here this equation cannot be solved further therefore it has no solution.
Answer:
$34,300
Step-by-step explanation:
First, we need to find how much interest is earned in one month : 7,000 * 6.5% = 455
455 is how much you gain monthly, multiply that by 12 to find the annual interest so 455 * 12 = 5,460
You then multiply that number by 5 to find the interest of the span of the 5 years
5,460 * 5 = 27,300
You add the original number to the interest with 27,300 + 7,000 = 34,300 in the account
You can solve this problem by applying the proccedure below:
You have:
a) 18/21=2/3
18x3/21x2
36≠42 (2/3 is not proportinal to 18/21).
b)18/21=30/35
18x35/21x30
630=630 (30/35 is proportional to 18/21)
c)18/21=36/48
18x48/21x36
864≠756 (36/48<span> is</span><span> not proportinal to 18/21)
</span>
d)18/21=1/3
18x3/21x1
54≠21 (<span> 1/3 is</span><span> not proportinal to 18/21)
</span>
Therefore, you can conclude that the correct option is: B.30/35
