Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality: y < two thirds x + 2

answers:
a. the origin is not included in the shaded region and the shaded area is above the line.

b. the origin is not included in the shaded region and the shaded area is below the line.

c. the origin is included in the shaded region and the shaded area is above the line.

d. the origin is included in the shaded region and the shaded area is below the line.

Option: D is correct.

Step-by-step explanation:

since we are given a inequality as:

Clearly from the graph of the following inequality we could see that the origin is included in the shaded region and the shaded area is below the line.

Also it could be seen that if we put the origin points i.e. (0,0) in the inequality than 0<2 and the condition is true and hence origin is included in the shaded area.

Hence, option D is true.

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.

answer:

your answer is: c. 196 7/8 in^3.