The area enclosed is (2x)(600-2x).(2x)(600−2x)=1200x−4x2
In order to maximize we need the derivative to be equal to 0.y′=1200−8x=0
1200=8x
x=150
Therefore the sides for maximum area are 150*300.
<span>The area is: 45000</span>
Answer:
$111400
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5.7%/100 = 0.057 per year,
then, solving our equation
I = 100000 × 0.057 × 2 = 11400
I = $ 11,400.00
The simple interest accumulated
on a principal of $ 100,000.00
at a rate of 5.7% per year
for 2 years is $ 11,400.00.
QUESTION 1
The given system of equations are:


We equate the two equations to get:




When x=0,

The solution is (0,1)
QUESTION 2
The given equations are:

and

We equate both equations to get:

Group similar terms,



We put x=0 into any of the equations to find y.

The solution is (0,-1).
QUESTION 3
The given equations are:

and

We equate both equations:

Group similar terms:


This is not true.
Hence the system has no solution.
Answer:
a) A = π30² = 900π cm² ≈ 2,827 cm²
b) V = Ah = 900π80 = 72000π cm³ ≈ 226,195 cm³
Step-by-step explanation:
Answer:
x=11
Step-by-step explanation:
The angles given are alternate exterior angles and alternate exterior angles are equal if the lines are parallel
5x+9 = 6x-2
Subtract 5x from each side
5x+9-5x = 6x-2-5x
9 = x-2
Add 2 to each side
9+2 =x-2+2
11=x