Mr. kevin pays $37.95 per month for his cell phone, with unlimited minutes. at this rate, what will his cell phone cost for the year?

It costs $ 455.4 for one year

Solution:

Given that Mr. Kevin pays $ 37.95 per month for his cell phone with unlimited minutes

To find: Cell phone cost for the year

We know that, there are 12 months in 1 years

Therefore,

1 year = 12 months

From given statement,

cost per month = $ 37.95

We have to find the cost for 12 months

Cost for 12 months = 12 x cost per month

Cost for 12 months = 12 x 37.95

Cost for 12 months = 455.4

Thus it costs $ 455.4 for one year

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