Solving the complex number, we get the value of the missing value that is ‘a’ = -6
We have been given the expression as
|a – i| = √37 (1)
Which is an expression of complex number. The general expression of complex number is given as
z = x + iy
where x is the real part and iy is the imaginary part
To find the modulus value, the formula is given by,
|z| = |x + iy|
|z| = √[(real part)2 + (imaginary part)2]
|z| = √(x2 + y2)
According to the question, |z| = √37 (2)
Equating equation (1) and (2), we get
√(a2 + 1) = √37
(a2 + 1) = 37
a2 = 37 – 1
a2 = 36
a = √36
a = ±6
Now value of a can be 6 or -6. We have been given that the modulus is in third quadrant.
Hence the value will be negative. Therefore, the missing value will be -6.
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Annual rate = 1.05%
Simple interest formula is I = Prt * 100
Where P is principle, I is interest, r is rate and t is time.
Transpose to make r the subject
Prt * 100 = I
r = I/ Pt * 100
Substitute values into the equation.
Let I = $1260, P = $30,000 and t = 4 years
r = $1260/ $30,000 * 4 * 100
r = 0.0105 * 100
r = 1.05%
Answer:
2 and 7/8
Step-by-step explanation:
3 + 3/8 - 1/2
3 + 3/8 - 4/8
3 - 1/8
2 and 7/8
Answer: inverse functions
Step-by-step explanation:
Inverse functions are symmetrical about the y=x axis. You could dot that line in by plotting points like (-4,-4) (-3,-3) (-1,-1) (0,0) (1,1) (3,3) etc. Then since you could fold the graph on that dotted axis and the two lines match up, you know they are inverses of each other.
Answer:
Draw a vertical line on a graph, with the x-axis at -6
this line should be parallel to the y-axis, but shift to the left 6 units.
Step-by-step explanation:
