Put the equation given in the form
The center will be (-f, -g)
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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Answer:
18%
Step-by-step explanation:
0.12 is 12 percent.
We also have the 0.06 percent which would just be 6 percent
We need to add up those percentages to get 18 percent, for the people surveyed that cannot swim would be 18 percent.
Our final answer is D.
Answer:
$25
Step-by-step explanation:
We know,
Monthly interest = (Principal × Interest rate) ÷ 12
Given,
Loan principal = $3,000
Interest rate = 10% = 0.10
Therefore, monthly interest = ($3,000 × 0.10) ÷ 12
Monthly interest = $300 ÷ 12
Monthly interest = $25
Therefore, the principal amount to be paid per month is = $(96.80 - 25) = $71.80.
So, Jamison will pay $25 as interest for the 36-month $3,000 loan.
