The remaining balance would be $3,600.
$6,300/7 = 900 x 3 = $2,700
$6,300 - $2,700 = $3,600
|a+bi| = √(a² + b²)
-4-√2 i -> take a = -4 and b = -√2
|-4-√2 i| = √[ (-4)² + (<span>-√2)² ]
= </span><span>√[ 16 + 2<span> ]
</span></span><span>= √[ 18 ]</span> = <span>√[ 9 * 2 ]
= 3√2
the absolute value is 3√2</span>
Height of the water increasing is at rate of 
<h3>How to solve?</h3>
With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:

There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:

Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:

In the problem, we are given
So we need to substitute this in:

Hence, Height of the water increasing is at rate of 
<h3>Formula used: </h3>

To Learn more visit:
brainly.com/question/4313883
#SPJ4
Given that,
Total number of children = 65
The ratio of boys to girls is 3 :2.
To find,
The number of girls in the grade.
Solution,
Let there are 3x girls and 2x boys.
ATQ,
3x + 2x = 65
5x = 65
x = 13
So, no of girls = 3x
= 3(13)
= 39
Hence, there are 39 girls in the grade.
Note: Let us consider, we need to find the
and
.
Given:
In the given figure, BD is the angle bisector of ABC.
To find:
The
and
.
Solution:
BD is the angle bisector of ABC. So,




Divide both sides by 2.


Now,



And,





Therefore,
and
.