If monthly payments are made for 30 years, find the value for n in the following future value ordinary annuity formula. a-(360)b-(12)c-(30)d-(30/12)

Option A is correct, i.e. n = 360.

Step-by-step explanation:

Given the monthly payments are made for 30 years.

We know 1 year = 12 months. It means they paid 12 installments in a year and they paid it for complete 30 years.

So, total installments = 12 installments in a year x 30 years = 360 installments.

Therefore, the value for n in the following future value ordinary annuity formula would be 360.

Hence, option A is correct, i.e. n = 360.

a.

(360)

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