In 2013, selected automobiles had an average cost of $16,000. The average cost of those same automobiles is now $20,000. What was the rate of increase for these automobiles between the two time periods

25%

Step-by-step explanation:

The average cost of the automobile in 2013 is $16,000

The present cost now is $20,000

Therefore the rate of increase between the two automobiles can be calculated as follows

= 20,000-16,000/16,000

= 4,000/16,000

= 0.25×100

= 25%

Hence the rate of increase is 25%

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

care to share were the trapezoid shown is ?