Answer:
The new account balance is $40000
Step-by-step explanation:
<em>The number line is not given. However, the question can be solved without it.</em>
Given


Required
Determine the new balance



Hence:
<em>The new account balance is $40000</em>
Distribute the 9 to each term in the parentheses with multiplication.
9(3 + x) = 27 + x
But this is usually written as x + 27
1/3 is the answer. Hope this helps
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.
Learn more about complex number here : brainly.com/question/5564133
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Answer:
The density of cube is 6.17959 
Step-by-step explanation:
The density is given by ration of a mass of body and volume occupied by a body.

Where,
is density.
m is mass of a body
V is the volume of a body
Given that one side of the cube is 0.53cm
Hence, the volume of a body is V=
=0.148877
Now, the Density of the cube will be



Thus, The density of cube is 6.17959 