Answer:
x = 6
Step-by-step explanation:
-2 + x = 4
x = 4 + 2
x = 6
Thank you :-)
Answer:
Option (3)
Step-by-step explanation:
w = ![\frac{\sqrt{2}}{2}[\text{cos}(225) + i\text{sin}(225)]](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%5B%5Ctext%7Bcos%7D%28225%29%20%2B%20i%5Ctext%7Bsin%7D%28225%29%5D)
Since, cos(225) = cos(180 + 45)
= -cos(45) [Since, cos(180 + θ) = -cosθ]
= -
sin(225) = sin(180 + 45)
= -sin(45)
= -
Therefore, w = ![\frac{\sqrt{2}}{2}[-\frac{\sqrt{2}}{2}+i(-\frac{\sqrt{2}}{2})]](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%5B-%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%2Bi%28-%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%29%5D)
= 
= 
z = 1[cos(60) + i(sin(60)]
= 
= 
Now (w + z) = 
= 
= 
= 
Therefore, Option (3) will be the correct option.
The volume is expressed in cubic units so it is 63 yd
9514 1404 393
Answer:
A = 500
B = 1.04
49.6 years
Step-by-step explanation:
We assume your 'A' and 'B' refer to parameters in an exponential formula of the form ...
y = A·B^x
In this form, A is the initial investment value, $500. B is the growth factor, 1+4% = 1.04, assuming interest is compounded annually. We want to find x such that y=$3500.
3500 = 500·1.04^x . . . . . fill in known values
7 = 1.04^x . . . . . . . . . . . . . divide by 500
log(7) = x·log(1.04) . . . . . . take logarithms
x = log(7)/log(1.04) ≈ 49.61 . . . . divide by the coefficient of x
It will take about 49.6 years for there to be $3500 in Mrs. Williams's account.
Answer:
1.(6) and 1.75
Step-by-step explanation:
The first one is 1.(6)
The second one is 1.75
