|Amrit and Daphne are saving for their daughter Nevaeh's college education. Nevaeh just turned 10 (at t = 0), and she will be entering college 8 years from now (at t = 8). College tuition and expenses at State U. are currently $14,500 a year, but they are expected to increase at a rate of 4.0% a year. Nevaeh should graduate in 4 years--if she takes longer or wants to go to graduate school, she will be on her own. Tuition and other costs will be due at the beginning of each school year (at t = 8, 9, 10, and 11). So far, Amrit and Daphne have accumulated $16,000 in their college savings account (at t = o). Their long-run financial plan is to add an additional $5,500 in each of the next 4 years (at t = 1, 2, 3, and 4). Then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7. They expect their investment account to earn 7%. How |large must the annual payments at t = 5, 6, and 7 be to cover Nevaeh's anticipated college costs? a. $3,974.93 b. $6,374.39 O c. $5,957.37 d. $4,825.80 e. $5,163.60

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
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Amrit and Daphne are saving for their daughter Nevaeh's college education. Nevaeh just turned 10 (at t = o), and she will
be entering college 8 years from now (att = 8). College tuition and expenses at State U. are currently $14,500 a year, but
they are expected to increase at a rate of 4.0% a year. Nevaeh should graduate in 4 years--if she takes longer or wants to
go to graduate school, she will be on her own. Tuition and other costs will be due at the beginning of each school year (at
t = 8, 9, 10, and 11).
So far, Amrit and Daphne have accumulated $16,000 in their college savings account (at t = o). Their long-run financial
plan is to add an additional $5,500 in each of the next 4 years (at t = 1, 2, 3, and 4). Then they plan to make 3 equal
annual contributions in each of the following years, t = 5, 6, and 7. They expect their investment account to earn 7%. How
large must the annual payments at t = 5, 6, and 7 be to cover Nevaeh's anticipated college costs?
O a. $3,974.93
b. $6,374.39
O c. $5,957.37
d. 54,825.80
e. $5,163.60
Transcribed Image Text:Amrit and Daphne are saving for their daughter Nevaeh's college education. Nevaeh just turned 10 (at t = o), and she will be entering college 8 years from now (att = 8). College tuition and expenses at State U. are currently $14,500 a year, but they are expected to increase at a rate of 4.0% a year. Nevaeh should graduate in 4 years--if she takes longer or wants to go to graduate school, she will be on her own. Tuition and other costs will be due at the beginning of each school year (at t = 8, 9, 10, and 11). So far, Amrit and Daphne have accumulated $16,000 in their college savings account (at t = o). Their long-run financial plan is to add an additional $5,500 in each of the next 4 years (at t = 1, 2, 3, and 4). Then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7. They expect their investment account to earn 7%. How large must the annual payments at t = 5, 6, and 7 be to cover Nevaeh's anticipated college costs? O a. $3,974.93 b. $6,374.39 O c. $5,957.37 d. 54,825.80 e. $5,163.60
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