We need to simplify the expression:

Now, we know that we can resolve the exponents of the variables with the like terms only and we can multiply the coefficients independently:
Now,

On simplifying the above expression we get:




So the simplified form of the expression
.
For the first image can you give us the choices for each one?
Answer:
D
Step-by-step explanation:
Here, we want to select which of the options explains the scenario in the question.
Firstly, 1,000 shares were purchased at $10 per share.
Mathematically the total amount of shares bought will be 10 * 1000 = $10,000
Also, we have the growth rate as 12.5% = 12.5/100 = 0.125
Thus, representing the scenario with a function, we have;
A(t) = 10,000 e0.125t
Answer:
<em>The common ratio of the geometric sequence is -4</em>
Step-by-step explanation:
<u>Geometric Sequence</u>
A geometric sequence is defined as a series of numbers that follow a fixed pattern: Each term equals the previous term times a fixed number called the common ratio. The recursive formula is:

Where r is the common ratio.
We are given three terms of a geometric sequence:
18,-72,288,...
To find the common ratio, just divide each term by the previous term:

Make sure it's a fixed number and test with the third term:

Since both numbers coincide, the common ratio of the geometric sequence is -4