1.19. A bank offers a savings account which pays 3% interest per year. The amount of money
in the account after t years is represented by the expression P(1+), where P represents the
initial amount of money invested, n represents the number of times per year the interest is
compounded, i represents the interest rate, and t represents the number of years the money
has been invested.
2
Which statement describes what happens with the savings account when the interest is
compounded monthly instead of yearly? Select two that apply.
A. The variable t will change because it is a factor that is multiplied by n.
B. The variable t will not change because it is a factor that is independent of n.
C. The variable i will change because it is a factor that is dependent on n.
D. The variable P will not change because it is a factor that is independent of n.
E. The variable P will change because it is multiplied by a factor that is dependent on n.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be