I would invest in a short-term bond that pays 4% because you are gaining money and it seems like it would be the best choice out of the two.
In your question it says his hair will grow an inch per month.. so how many months will it take Rusty's hair to grow an inch??
The answer is 1 month..
Answer:
The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches
Step-by-step explanation:
We have that:
Let the dimension of the paper be x and y;
Such that:
So:
Substitute 128 for Area
Make x the subject
When 1 inch margin is at top and bottom
The length becomes:
When 2 inch margin is at both sides
The width becomes:
The New Area (A) is then calculated as:
Substitute for x
Open Brackets
Collect Like Terms
To calculate the smallest possible value of y, we have to apply calculus.
Different A with respect to y
Set
This gives:
Collect Like Terms
Multiply through by
Divide through by 2
Take square roots of both sides
Recall that:
Recall that the new dimensions are:
So:
To double-check;
Differentiate A'
The above value is:
This means that the calculated values are at minimum.
<em>Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches</em>
X = 1st odd integer
x+2 = 2nd odd integer
x+4 = 3rd odd integer
x+ x+2 + x+ 4 = 3
3x+6 = 3
3x = -3
x= -1
so -1,1,3 are consecutive odd integers