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A father is now planning a savings program to put his daughterthrough college. she is 13 and she plans to enroll at theuniversity in 5 years, and she should graduate in 4 years.Currently the annual cost for everything (food, clothing tuition,books, transportation ,and so forth) is $15,000, but these costsare expected to increase by 5% annually. the college requires thatthis amount be paid at the start of the year. she now has $7,500 ina college savings account that pays 6% annually. her father willmake 6 equal annual deposits into her account, the first deposittoday and the 6th deposit on the day she starts college. How largemust each of the 6 payments be? [Hint: calculate the cost (inflated5%) for each year of college and find the total present value ofthose costs, discounted at 6%, as of the day she enters college.Then find the compounded value of her initial $7,500 on that sameday. The difference between the present value costs and the amountthat would be in the savings account must be made up by the fathersdeposits so find the 6 equal payments (starting immediately)thatwill compound to the required amount]

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Collen Von
Collen VonLv2
28 Sep 2019

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