Mr Willkinson invests £3000 at a compound interest of 2.2% per anum he wants his investment to earn more than £800 interest
work out in the least time in years it will take

if his investment were to earn an interest £800, then his accumulated amount will be 300 + 800  or namely  £3800.

let's check at what point he'll be getting an accumulated amount of £3800, and then we know that compounding it further will simply result in more bucks, thus we know that'd be the least it'd take, keeping it further will simply give more.

so depends, I guess if he just waits one more minute that may do it =).

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