Answer:
Option C.
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
An arithmetic sequence takes the form

where

is the common difference between terms. You can solve for

in terms of any of the previous terms of the sequence:

for some integer

Continuing in this way, you know that the sequence can be defined explicitly in terms of the first term


Given that the 4th term is

and the 11th term is

, you have the following system of equations.

Solving this system for the two unknowns yields

and

.
So, the sequence is given explicitly by
Area of the shaded region=area of the greater rectangle- area of the inner rectangle.
Area of a rectangle=length x width.
Area of the greater rectangle=(8x-1)(6x)
area of the inner rectangle=(5x+3)(2x)
Area of the shaded region=(8x-1)(6x)-(5x+3)(2x)
=48x²-6x-(10x²+6x)
=48x²-6x-10x²-6x
=38x²-12x
Answer: the area of the shaded region would be: 38x²-12x
\left[y \right] = \left[ 0\right][y]=[0] I hope helping with u