geno3141

5 percent  =  5%  =  0.05

18141 x 0.05  =  907.05

I'm not sure where parentheses belong.

If the problem is:  (3x - 2)/(x - 1)  =  x/(x + 1) - (3 - 2x)/(1 - x²)

--->                     (3x - 2)/(x - 1)  =  x/(x + 1) - (3 - 2x)/[(1 - x)(1 + x)]

Multiply all the terms by (1 - x)(1 + x) and simplify:

--->                          - (3x - 2)(1 + x)  =  x(1 - x) - (3 - 2x)

--->                          -(3x² + x - 2)  =  x - x² - 3 + 2x

--->                          -3x² - x + 2  =  -x² + 3x - 3

--->                          -2x² - 4x + 5  =  0

--->                           2x² + 4x - 5  =  0

Using the quadratic formula:  x  =  (-4 ± √[4² - 4(2)(-5)] / [2(2)]   --->   x  =  ( -2  ± √14 ) / 2

I skipped many steps; any questions?

Also, I might have guessed the wrong problem ...

Rewrite      5sin²(x)  =  2sin(x)     as:     5sin²(x) - 2sin(x)  =  0.

Factoring:    sin(x)[5sin(x) - 2]  =  0

So, either:    sin(x)  =  0     or    5sin(x) - 2  =  0   --->    sin(x)  =  0     or     sin(x)  =  2/5

Can you take it from here?

Try this:

3,1

1,2

3,3

1,4

You can use the Change-of-Base formula:

If you want the new base to be 'b' and the number that you want to find the log of 'x':

log_b(x)  =  log₁₀(x) / log₁₀(b)     or     log_b(x)  =  ln(x) / ln(b)

Circumference = 2 x pi x radius

                    C  =  2 x pi x 3  =  18.85 inches (approximately)

Is this a solid post or a hollow post?

How much mortar are you using between bricks. 

The size of the bricks won't allow for a solid post without mortar for the size of the post.

First:  to calculate the amount after 20 years:  A  =  p[ (1 + r)ⁿ - 1 ] / r

Where  p  =  amount invested each month:  200

            r  =  percentage rate per month:  .05/12

            n  =  number of months  =  20 x 12  =  240

A  =  200[ (1 + .05/12)²⁴⁰ - 1 ] / (.05/12)  =  130,206.73

Second:  to calculate that value after 10 years:  A  =  p(1 + r)ⁿ

Where p and r are the same as above and n = 10 x 12  =  120

A  =  130 206.73(1 + .05/12)¹²⁰  =  214,451.73

cot(x) and tan(x) are multiplicate inverses, so if cot(x) = 2/3, tan(x) = 3/2.

Circumference  =  pi x diameter

Circumference  =  pi x 5  =  15.71 feet  (approximately)