ANSWER

EXPLANATION
The given function is,

The parent function of this ceiling function is

When this function is shifted horizontally 3 units to the left, we obtain the transformed function,

The correct answer is option D.
See attachment.
First of all, let's convert all the measures to the same unit: 4 feet are 48 inches.
Now, as the wheel turns, there is a proportion between the angle and the distance travelled: for example, when the car moves forward a whole circumference, the angle will be 360°. Conversely, if the wheel turns 180°, then the car will move forward a distance which is half the circumference of the wheel, and so on.
Since the radius is 16 inches, the circumference will be

So, we have the following proportion:

that you can read as: "if an angle of 360 corresponds to a distance travelled of
, then the unknown angle x corresponds to a distance travelled of 48 inches.
Solving for x, we have

The size of the population increases when the growth rate is positive and
decreases for a negative growth rate.
The completed table is presented as follows;
![\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%7Cc%7Cc%7Cc%7C%7D2003%20%5C%20Population%20%28millions%29%26Projected%20%5C%202029%20%5C%20Population%20%5C%20%28millions%29%26Growth%20%5C%20rate%20%5C%20%20K%20%5C%5C40.5%2620.9%26-2.255%5C%25%5Cend%7Barray%7D%5Cright%5D)
Reasons:
The table is presented as follows;
![\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%7Cc%7Cc%7Cc%7C%7D2003%20%5C%20Population%20%28millions%29%26Projected%20%5C%202029%20%5C%20Population%20%5C%20%28millions%29%26Growth%20%5C%20rate%20%5C%20%20K%20%5C%5C40.5%2620.9%26%5Cend%7Barray%7D%5Cright%5D)
The population in growth rate is given by the following formula;
P = a·(1 + r)ˣ
Where;
a = The initial population in 2003 = 40.5 million
P = The population in 2029 = 20.9 million
x = The number of years = 2029 - 2003 = 26
Therefore;
20.9 = 40.5 × (1 + r)²⁹


The population growth rate is r ≈ -0.02255 = -2.255 %
The completed table is therefore;
![\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%7Cc%7Cc%7Cc%7C%7D2003%20%5C%20Population%20%28millions%29%26Projected%20%5C%202029%20%5C%20Population%20%5C%20%28millions%29%26Growth%20%5C%20rate%20%5C%20%20K%20%5C%5C40.5%2620.9%26-2.255%5C%25%5Cend%7Barray%7D%5Cright%5D)
Learn more here:
brainly.com/question/25354980
Answer:
10
Step-by-step explanation:
1x^3-2x^2-4x-6
x^3-2x^2-4x-6
(4)^3-2(4)^2-4(4)-6
64-2(16)-16-6
64-32-16-6
32-16-6
16-6
10
So when x=4, the output will be 10
Answer:
3527
Step-by-step explanation:
Using our compound interest formula we can plug in all of our given values and solve for P.
A(t)=P(1+r/n)^nt
5,000=P(1+0.07/12)^12(5)
P=5000/(1+0.07/12)^60
P≈$3,527