(0.4n)(16n) = (0.4)(16)(n)(n) = 6.4n²
Answer: 6.4n²
a) We have to calculate the height of the pad.
We know that the volume will be 4704 cubic feet.
We also know that the base of the pad is a square of side length 56 feet.
As the volume is the area of the base times the height, we can find the height by dividing the volume by the base area:

The height is 1.5 feet.
b) Now, we have a circular pad of which we know the height (1.5 feet) and the volume (4705 ft³). The area of the base will have to be the same as the are of the square: 3136 ft².
The area of this circular pad can be expressed as πD²/4, so we can calculate the diameter D as:

The diameter is approximately 63.21 feet.
Answer:
a) The pad will be 1.5 feet thick
b) The diameter will be 63.21 feet.
Answer:
Step-by-step explanation:
A = Pe^rt
A = total
P = amount you start with
r = rate
t = time
Let's calculate the rate.
99000000 = 94000000e^r*6
Divide each side by 94m
99000000/94000000 = e^6r
Take the natural log of e of both sides.
ln(99000000/94000000) = 6r
Divide each side by 6.
(ln(99000000/94000000))/6 = r
Now we can find the population in 2005.
A = 94000000e^0.00863751131 * 12
A = 104265957
The population in 2005 is 104,265,957 people.
Answer:
E
Step-by-step explanation:
The ordered pair numbers seemed to big so I guessed and I was right.
Given that the debt has been represented by the function:
f(x)=-6x^2+8x+50
To get the number of years, x that it would take for the company to be debt free we proceed as follows:
we solve the equation for f(x)=0
hence:
0=-6x^2+8x+50
solving for x using the quadratic formula we get:
x=[-b+/-sqrt(b^2-4ac)]/2a
x=[-8+/-sqrt(8^2-4*(-6)*50)]/(-6*2)
x=[-8+/-√1264]/(-12)
x=27.552
x~28