Set up and solve a system of equations to solve the problem. Helene invested a total of $1,750 in two simple-interest bank accounts. One account paid 4% annual interest; the other paid 6% annual interest. The total amount of interest she earned after 1 year was $80. Find the amount invested in each account.

Helene invested $___
in the 4% interest account and $___
in the 6% account.

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

erica would now have 20 bottles of water because 26-6=20.

i hope this : )

the expression mentioned can be written, in mathematical terms, as:

3√ x^5 y

now the same expression can be written in different ways.

for example, we can rewrite the rational exponents by multiplying the value of cubic square with x^5 and y to get

x^5/3 y^1/3

or

we can simplify the radical by breaking the radicand (the number under the radical symbol) up into a product of known factors like

x   3√ x^2 y