geno3141

In one day there are 24 x 60 x 60 = 86 400 seconds.

Now, let's set up a proportion that will tell us how many seconds that human existence represents in one day:

     200 000 / 13 600 000 000  =  x / 86 400

x  =  200 000 / 13 600 000 000 · 86 400  =  10.8 seconds (before midnight)

So, my answer doesn't agree with either of the two other answers ...

Ah, the beauties of the ambiguities of the English language ... 

₃₀C₁₄ (0.42)¹⁴(0.58)¹⁶  =  0.127  (approximately)

     3.4%  + 0.87% + -13.10% + 9.09%

=  0.034 + 0.0087 - 0.1310 + 0.0909

=  0.0026

=  0.26%

Let  x  be the number.

      ½x  =  x + 10     <---  equation

Subtract  x  from both sides:

    -½x  =  10

Multiply both sides by -2:

         x  =  -20

Writing this as a function:  y  =  x² + 10x + 17

Now:                         y - 17  = x² + 10x

Completing the square:

                       y - 17 + 25  =  x² + 10x + 25

                                y + 8  =  (x + 5)²

The vertex  occurs at (-5, -8)

A function is a relationship between x-values and y-values so that

for every x-value, there is only one related y-value.

That is true for this equation (every time you enter an x-value, you get only one possible y-value for an answer); thus, this is a function.

Imterest  =  Principal x Rate x Time

Interest  =  (188 717. 00) x (0.0450) x (8/12)

Interest  =  5661.51

If the problem is:  √(x + 4)  =  x - 2:

Square both sides:  x + 4  =  (x - 2)²

Simplify:                  x + 4  =  x² - 4x + 4

Solving:                          0  =  x² - 5x

Factoring:                        0  =  x(x - 5)

So:                                    0  =  x     or     0  =  x - 5

Answers:                          x  =  0     or     x  =  5

Checking:       when x = 0:  √(x + 4)  =  x - 2   --->     √(0 + 4)  =  0 - 2  

                                              --->   √(4)  =  - 2   --->   2  =  -2   <--- Impossible!

                       when x = 5:  √(5 + 4)  =  5 - 2   --->     √(9)  =  3   <--- This works!

You need to calculate the value that, when multiplied by 2/3, will result in 4.

4 ÷ 2/3  = 4 x 3/2 = 12/2 = 6

So:  (x^2/3)⁶ = x⁴

Since y = x^2/3  --->   y⁶  =  (x^2/3)⁶  =  x⁴