The perimeter of the rectangle is the sum of its dimensions
The dimensions that minimize the perimeter are 
The area is given as:

Let the dimension be x and y.
So, we have:

Make x the subject

The perimeter is calculated as:

Substitute 

Expand

Differentiate

Set to 0

Rewrite as:

Divide both sides by -1

Multiply y^2

Divide by 2

Take square roots of both sides


Substitute
in 



Hence, the dimensions that minimize the perimeter are 
Read more about perimeters at:
brainly.com/question/6465134
Answer:
a) Each individual act will last 5 minutes.
b) Each group act will last 10 minutes.
Step-by-step explanation:
I think this is right
Answer:
1 ornament per 3 hours
in 15 hours she will have 7.5 of them done
Let's see if we can't be logical here......Pick a formula and see what it yields. For example, choose D.
For n = 1 ---> -1 x 4^1 ----> -1 x 4 = -4, when the correct value is 1. Therefore D is out.
Try C. For n = 1 ---> 1 x 4^(1-1) ---> 1 x 4^0 ----> 1 x1 ---> 1, So it is correct for n =1. How about
n=2? 1 x 4^(2-1) = 1 x 4^1 = 1 x 4 = 4, when the correct answer is -4. Therefore C is out
I'm sure you can do the remaining two choices....
Answer:
You would owe the bank <u>$105,000</u> in interest after 20 years.
Step-by-step explanation:
You first have to find what the one-year interest dollar amount, which is $5,250.
Then you simply multiply the one year dollar amount, by 20. (years).
20 x $5,250 = $105,000
giving you your final answer of <u><em>$105,000</em></u>