Liam chooses an investment plan that requires him to make an initial investment of $8,000. then he contributes equal monthly investments of $300 for the next 10 years. what function represents the amount in dollars that liam has invested in terms of the number of months since he made the initial investment?

The function would be,

f(x) = 8000+300x

Where x is additional investment for each month.

Step-by-step explanation:

Given,

The initial investment = $ 8000,

Also, he contributes equal monthly investments of $300,

Additional investment for x months = 300x

Thus, his total investment for x months = Initial investment + additional investment

f(x) = 8000 + 300x

Which is the required function.

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

mean, 40.6

step-by-step explanation: