We have
.
First let us factor the 2 to obtain,

We can now see clearly that the expression inside the parentheses is a difference of two squares.
We now write the 4 as 2². So that we obtain the expression,

Recall that

Hence our expression becomes,

Therefore, when factored completely,

Answer:
Step-by-step explanation:
Exponential function representing final amount with compound interest compounded continuously,

Here, A = Final amount
P = principal amount
r = Rate of interest
t = Duration of investment
For P = $9600
r = 6%
A = 2 × 9600 = $19200
By substituting these values in the formula,



ln(2) = 0.06t
t = 
t = 11.55245
t ≈ 11.5525 years
Any amount will get doubled (with the same rate of interest and duration of investment) in the same time.
Therefore, $960000 will get doubled in 11.5525 years.
The value of the angle m∠4 is 105 degrees.
<h3>How to find angles in a quadrilateral?</h3>
The sum of angles in a quadrilateral is 360 degrees.
Therefore,
m∠1 + m∠2 + m∠3 + m∠4 = 360°
Hence,
x + x + 10 + x + 20 + x + 30 = 360
4x + 60 = 360
4x = 360 - 60
4x = 300
x = 360 / 4
x = 75
Therefore,
m∠4 = 75 + 30 = 105°
learn more on quadrilaterals here: brainly.com/question/17178852
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Answer:
If we solve any such equation and get the answer as 0 = 0 so this means that system of equations has infinite solutions.
Step-by-step explanation:
<h2>Hope it helps you!! </h2>
Answer: 125 centimeters
1,250 millimeters
Step-by-step explanation:
'centi' means hundred. 100 centimeters go into a meter.
'milli' means thousand. 1,000 millimeters go into a meter. Easy math from there.