The next model of a sports car will cost 12.2% less than the current model. The current model costs $34,000 . How much will the price decrease in dollars? What will be the price of the next model?

Step-by-step explanation:

The next car will be 12.2% cheaper. This amount in dollars is:

= Percentage decrease * Current model price

= 12.2% * 34,000

= $4,148

The price of the next model will therefore be:

= 34,000 - 4,148

= $29,852

y/x=18

step-by-step explanation:

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