Hank buy a $24,000 car when he graduated from college. If this car depreciates at a rate of 10% per year how long will it take for the car to lose half of the

$24,000 when Hank bought the car

$12,000 half of its value

$21,600 after 1 year

$19,440 after 2 years

$17,496 after 3 years

$15,746.4 after 4 years

$14,171.76 after 5 years

$12,754.58 after 6 years

$11,479.12

after 6 years and half, Hank's car would have lost half of its value

Step-by-step explanation:

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

correct answer is b. 27/8

step-by-step explanation: