Daniela bought a car for $24,000. each year the value of the car decreases by $1750. b when daniela sells her car she wants to get at least 10,000 for it. how many years can she keep the car

ANSWER

Find out the how many years can she keep the car.

To proof

As given

Daniela bought a car for $24,000

Each year the value of the car decreases by $1750.

let us assume that the number of years be x.

when daniela sells her car she wants to get at least 10,000 for it.

Than the inequality becomes in the form

24000 - 1750 x  ≤ 10000

solve

1750x ≤ 14000

x ≤ 8 years

she keeps the cars 8 years .

Hence proved

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)  

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4