Answer:

Step-by-step explanation:
can be broken down into three fractions, coefficients, powers of p, powers of q.

Simplify the first fraction, then simplify the others by subtracting numerator exponents minus denominator exponents.

Answer:
4760
Step-by-step explanation:
Simple interest formula:
PV(1+it)
4250(1+.04*3)=4760
Answer: 
Step-by-step explanation:
For this exercise it is important to remember the following:

Given the following expression:

You can notice that the radicand (the number inside the square root) is negative. Therefore, in order to simplify the expression, you need to follow these steps:
1. Replace
with
and simplify:

2. Descompose 12 into its prime factors:

3. Substitute into the expression:

4. Since
, you can simplify it:

Answer:
Length: 139 feet
Width: 104 feet
Step-by-step explanation:
The formula for the perimeter of a rectangle can be given by
. We are given the perimeter of the pool along with the width.


From here, all we have to do is plug back into the original formula:

Which can be further simplified as:


From here, all we have to do is add 70 to both sides of the equation and divide by four:


To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:




And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.