Let's call the width of our rectangle
and the length
. We can say
, since the length is equal to 4 cm greater than the width.
Also remember that the perimeter of a rectangle is the sum of two times the width and two times the length, or
. To solve this problem, we can substitute in the information we know, as shown below:




Now, we can substitute in the width we found into the formula for length, which is
:


The width of our rectangle is
cm and the length of our rectangle is 
He bought 4 books.
3.95m + 8.95b = 47.65
If he bought 3 magazines, m =3
(3.95)3 +8.95b = 47.65
11.85 + 8.95b =47.65
now we subtract 11.85 from both sides
8.95b = 35.80
we divide both sides by 8.95
b=4
Hugh bought 4 books.
Answer:
Answer is (√1500) /(2√15 )= 5
Step-by-step explanation:
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The amount charge per year is 
The number of members it will have at this amount is 
The amount amount increase that will lead to the loss of a single member is 
Generally the total amount the club would obtain from its members is mathematically represented as

Now let x denote the number of member lost
Hence

=> 
=> 
Thus the number of members that be removed to give the maximum income from dues is obtained by differentiating the above equation and equating it to zero

=> 
So from
we have


So the amount the club should charge is


It looks like the differential equation is

Multiply both sides by 1/(<em>x</em> + 1) :

The left side is now a derivative of a product,

Integrate both sides with respect to <em>x</em> :

Solve for <em>y</em> :
