John is saving money at a constant rate. suppose he initially has $110 saved and after 2 months he has $160 saved. at what rate is john saving

The rate John is saving is 25. How? You can do 160-110 (to find difference). After this, you will get 50. You can now divide this by 2 (because the problem says two months), which is 25. You can see if this is correct by adding 25 to 110 two times.

110 + 25

= 135

135+25

=160

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

step-by-step explanation:

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