Please help, thank you!

A corporation gave a university $320,000 to support product safety research. The university deposited some of the money in a 10% simple interest account and the remainder in an 11.3% simple interest account. How much should be deposited in each account so that the annual interest earned is $42,200?

answer: y=4000x+14000

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is