Answer:
x = 6 ft
Step-by-step explanation:
Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3
Area of triangle 1 = Area of triangle 3 = 
= 
= 4x square feet
Area of rectangle 2 = Length × Width
= 16 × 8
= 128 square feet
Total area of the given polygon = 4x + 128 + 4x
176 = 8x + 128
8x = 176 - 128
x =
x = 6 ft
We have the rational expression

; to simplify it, we are going to try to find a common factor in the numerator, and, if we are luckily, that common factor will get rid of the denominator

.
Notice that in the denominator all the numbers are divisible by two, so 2 is part of our common factor; also, all the terms have the variable

, and the least exponent of that variable is 1, so

will be the other part of our common factor. Lets put the two parts of our common factor together to get

.
Now that we have our common factor, we can rewrite our numerator as follows:

We are luckily, we have

in both numerator and denominator, so we can cancel those out:


We can conclude that the simplified version of our rational function is

.
It looks like this

. So the answer is <span>
A) 1.2 in. by 1.2 in.</span>
Step-by-step explanation:
i = interest 3% for 30 years
This is a simple dynamical system for whom the the solutions are given as
](https://tex.z-dn.net/?f=S%3DR%5B%5Cfrac%7B%28i%2B1%29%5En-1%7D%7Bi%7D%5D%28i%2B1%29)
putting values we get
S=2000[\frac{(1.03)^{30}-1}{0.03}](1.03)
= $98005.35
withdrawal of money takes place from one year after last payment
To determine the result we use the present value formula of an annuity date

we need to calculate R so putting the values and solving for R we get
R= $6542.2356