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?
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 57SE: Karl has two years to save $10000 to buy a used car when he graduates. To the nearest dollar, what...
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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 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?
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