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Rosanne and Benjamin Carter married young and had two children by the time they

ID: 2794303 • Letter: R

Question

Rosanne and Benjamin Carter married young and had two children by the time they were 25. They had trouble making ends meet until Rosanne returned to work when Kaitlyn, their youngest, was in school full time. Rosanne currently earns $25,000 per year after taxes, and the couple estimates that they can allocate a substantial portion of her income to their children’s college fund. The Carters are now 31 years old, and their children are 10 and 7. They want to begin a savings program to help them pay for their children’s college education at an in-state public university, which they estimate is $24,000 currently. Assume that the education costs will increase at a rate of 4 percent per year.

a). What will annual costs be when each of the two children starts college at age 18? $____ when their 10-year-old starts college. $____ when their 7-year-old starts college.

Explanation / Answer

Answer)

Annual college cost

The first child starts college in 8 years time (We are using formulea FV =PV*(1+R)^N)

Where, FV = future value

PV = present value

N = number of years

R is the rate

FV= 24000*(1.04)^8 =32854.657

The cost for 2nd child in 11 years time

FV = 24000*(1.04)^11 = 36946.897