Nathan and Stephanie are saving for their daughter's college education. Their daughter, Paige, is now 8 years old and will be entering college 10 years from now (t = 10). College tuition and expenses at State U. are currently $16,000 a year and are expected to increase at a rate of 4% a year. They expect Paige to graduate in 4 years (if Paige wants to go to graduate school, she's on her own). Tuition and other costs will be due at the beginning of each school year (at t = 10, 11, 12, and 13). So far, Nathan and Stephanie have built up $9,000 in the college savings account. Their long-run financial plan is to contribute $3,000 a year at the beginning of each of the next five years (at t= 0, 1, 2, 3, and 4). Then they plan to make 6 equal annual contributions at the end of each of the following 6 years (t = 5, 6, 7, 8, 9, and 10). Their investment account is expected to earn 8%. How large must the annual payments be in the subsequent 6 years (t = 5, 6, 7, 8, 9, and 10) to meet their daughter's anticipated college costs?
Nathan and Stephanie are saving for their daughter's college education. Their daughter, Paige, is now 8 years old and will be entering college 10 years from now (t = 10). College tuition and expenses at State U. are currently $16,000 a year and are expected to increase at a rate of 4% a year. They expect Paige to graduate in 4 years (if Paige wants to go to graduate school, she's on her own). Tuition and other costs will be due at the beginning of each school year (at t = 10, 11, 12, and 13). So far, Nathan and Stephanie have built up $9,000 in the college savings account. Their long-run financial plan is to contribute $3,000 a year at the beginning of each of the next five years (at t= 0, 1, 2, 3, and 4). Then they plan to make 6 equal annual contributions at the end of each of the following 6 years (t = 5, 6, 7, 8, 9, and 10). Their investment account is expected to earn 8%. How large must the annual payments be in the subsequent 6 years (t = 5, 6, 7, 8, 9, and 10) to meet their daughter's anticipated college costs?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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*calculate using mathematical formula
ANS: 3782
Transcribed Image Text:Nathan and Stephanie are saving for their daughter's college education. Their daughter,
Paige, is now 8 years old and will be entering college 10 years from now (t = 10). College tuition
expenses at State U. are currently $16,000 a year and are expected to increase at a rate of
4% a year. They expect Paige to graduate in 4 years (if Paige wants to go to graduate school,
she's on her own). Tuition and other costs will be due at the beginning of each school year (at t
= 10, 11, 12, and 13). So far, Nathan and Stephanie have built up $9,000 in the college savings
account. Their long-run financial plan is to contribute $3,000 a year at the beginning of each of
the next five years (at t= 0, 1, 2, 3, and 4). Then they plan to make 6 equal annual contributions
at the end of each of the following 6 years (t = 5, 6, 7, 8, 9, and 10). Their investment account is
expected to earn 8%. How large must the annual payments be in the subsequent 6 years (t= 5,
6, 7, 8, 9, and 10) to meet their daughter's anticipated college costs?
and
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