College Costs The average annual cost of college at 4-yearprivate colleges was $30,094 in the 2013–2014 academicyear. This was a 3.8% increase from the previous year.(a) If the cost of college increases by 3.8% each year, whatwill be the average cost of college at a 4-year privatecollege for the 2033–2034 academic year?(b) College savings plans, such as a 529 plan, allow individualsto put money aside now to help pay for college later. If onesuch plan offers a rate of 2% compounded continuously,how much should be put in a college savings plan in 2015to pay for 1 year of the cost of college at a 4-year privatecollege for an incoming freshman in 2033?Source: The College Board

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter13: Sequences And Series
Section13.FOM: Focus On Modeling: Modeling With Recursive Sequences
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College Costs The average annual cost of college at 4-year
private colleges was $30,094 in the 2013–2014 academic
year. This was a 3.8% increase from the previous year.
(a) If the cost of college increases by 3.8% each year, what
will be the average cost of college at a 4-year private
college for the 2033–2034 academic year?
(b) College savings plans, such as a 529 plan, allow individuals
to put money aside now to help pay for college later. If one
such plan offers a rate of 2% compounded continuously,
how much should be put in a college savings plan in 2015
to pay for 1 year of the cost of college at a 4-year private
college for an incoming freshman in 2033?
Source: The College Board

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