Answer:
The future value of this initial investment after the six year period is $2611.6552
Step-by-step explanation:
Consider the provided information.
A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years.
Future value of an investment: 
Where Fv is the future value, p is the present value, r is the rate and n is the number of compounding periods.
9% compounded semiannually for 6 years.
Therefore, the value of r is: 
Number of periods are: 2 × 6 = 12
Now substitute the respective values in the above formula.




Hence, the future value of this initial investment after the six year period is $2611.6552
Let X = be the amount the amount that new customer will have to pay
X = 0.8P + 100
Given that the television is $1500, the discounted price is $1200. But the customer will have to pay the membership of $100.
Therefore the total amount is $1300.
You can solve this in two ways.
1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.
2. Analytical. Calculate the derivative of the function f(x)

Solve the equation:

will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:

You get the same answer: x=-2, y=-9
So the answer is
<span>B. (-2, -9)</span>
The gometric means G1, G2, G3, 1/4
1. The number '2' is located in the tens place
2. Since the number '3' is located in the ones place, it's telling the number '2' to stay the same
Stays the Same: 1,2,3,4
Goes Up: 5,6,7,8,etc
223 ⇒ 220