Over the past several months, the water level of a lake has been decreasing by 12% each week. If the highest water level before the decrease started was 520ft. What was the level at the end of 2 weeks?

The level was 402.7ft. at the end of two weeks.

Step-by-step explanation:

First, we need to find the amount of decrease for the first week.

520 x 0.12 = 62.4

Now, we subtract the change for the first week.

520 - 62.4 = 457.6

Next, we find the change for the second week.

457.6 x 0.12 = 54.912

Then, we subtract the change for the second week.

457.6 - 54.912 = 402.688

And we are left with our final answer that is 402.688ft. or if you wish to round to the nearest tenth, then your answer would be 402.7ft.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0