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.
Answer:
Step-by-step explanation:
Given that A is a square matrix and A is idempotent

Consider I-A
i) 
It follows that I-A is also idempotent
ii) Consider the matrix 2A-I

So it follows that 2A-I matrix is its own inverse.
Nothing times itself will equal 29, but in decimal form only is 5.38
Answer:
The population of this city in 13 years is 440,550.
Step-by-step explanation:
Given:
Suppose a city with population 300, 000 has been growing at a rate of 3% per year.
Now, to find the population of this city in 13 years.
Let the population of this city in 13 years be 
Population (
) = 300,000.
Rate per year (
) = 3%.
Time (
) = 13 years.
Now, we put formula to get the population of the city in 13 years:

Therefore, the population of this city in 13 years is 440,550.